1 Flashcards
Points definition
Does not have any size- no dimension. All geometric figures consist of points.
Does not have any size- no dimension. All geometric figures consist of _____.
Points
How many dimensions do points have?
None
What is the size of a point?
No size.
All geometric figures consist of _____.
Points
What is the notation for points?
•P
•P is the notation for …
Points
Lines definition
Any two points creates a lines 1-dimensional. A line extends in opposite directions without ending.
Are lines infinite?
Yes
What dimension are lines?
1-dimensional
Any two points create a _____.
Line
Any two points creates a ____ 1-dimensional. A ____ extends in opposite directions without ending.
Line
Notation of lines
line L(cursive L)
AB BA
L(cursive L)
A B
Planes definition
2-dimensional. Represented by a 4-sided figure. Extends without ending and has no thickness.
2-dimensional. Represented by a 4-sided figure. Extends without ending and has no thickness.
Plane
Are planes infinite?
Yes
What dimension are planes?
Two-dimensional
What are planes represented by?
A four sided figure
What is the thickness of a plane?
Planes have no thickness
Notation of a plane
\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ / M/ / / / / /\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_/
Plane M (capital)
Do points lie in planes?
Yes
How many points do you need in order to have a plane?
At least 3 points
How many lines can be draw through two distinct points?
Only one line
How many lines can be formed with a single point?
An infinite amount of lines
How many points are there in a line?
Infinite amount of points
How many lines are in a plane?
Infinite amount of lines
How many dimensions is a solid?
Three dimensions
Points make up ___
Lines
Lines make up _____
Planes
Planes make up ______
Solids
Collinear
Set of points that lie on the same line.
A B C
points A, B, and C are collinear
Set of points that lie on the same line.
Collinear
Non collinear
Set of points that don’t lie on the same line
•X
A B C •Y •Z
X, Y, and Z are non collinear
Set of points that don’t lie on the same line
Non collinear
Coplanar
Points that are in the same plane
\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ / •B X/ / •C / / •A / /\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_/
A, B, and C are coplanar
Do you call this plane X or plane ABC? \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ / •B X/ / •C / / •A / /\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_/
Both
Non coplanar
Points that are not in the same plane ^ | •H \_\_\_\_\_\_\_\_|\_\_\_\_\_\_\_\_\_ / | / / / Point H is not in the / D |E F / plane, so this plane /\_\_\_\_\_\_\_\_\_ |\_\_\_\_\_\_\_/ is non coplanar | | ^
Points that are in the same plane
Coplanar
Points that are not in the same plane
Non coplanar
What’s the minimum number of points to create a plane?
3 points
What’s the minimum number of points to create a line?
2 points
Intersection
“Meets” or “cuts” - the intersection of two figures is the set of all points that are in both figures
“Meets” or “cuts” - the ____ of two figures is the set of all points that are in both figures
Intersection
Segment
Finite in length. Contains two end points.
Finite in length. Contains two end points.
Segment
When lines intersect they create a _____
Point
When planes intersect they create a _____
Line
Notation of a segment
——
AB
Segment AB
•——-•
A B
Ray
Contains one endpoint and extends infinitely in the other direction.
Contains one endpoint and extends infinitely in the other direction.
Ray
Notation of a ray
—>
AB
ray AB
•——•——>
A B
Opposite rays
Have a common endpoint and are in the same line
Have a common endpoint and are in the same line
Opposite rays
Opposite rays notation
—-> —->
SR AND ST
R S T
Length
Distance between two points
Distance between two points
Length
Postulates or axioms
Statements that are accepted without proof (taken to be true, to serve as a starting point for further reasoning and arguments).
Statements that are accepted without proof (taken to be true, to serve as a starting point for further reasoning and arguments).
Postulates or axioms
Example of a postulate
Ruler postulate- distance between any two points equals the absolute value of the difference of their coordinates
Angle addition postulate- if point b lies in the interior of angle AOC, then the measure of AOB+the measure of BOC = the measure of AOC
Segment addition postulate- if B is between A and C, then AB+BC=AC
Theorems
Statements that have been proven. (Proven by operations) theorems are proven by postulates or axioms
Statements that have been proven. (Proven by operations). are proven by postulates or axioms
Theorems
Ruler postulate
Distance between any two points equals the absolute value if the difference of their coordinates
Segment addition postulate
if B is between A and C, then AB+BC=AC
•——————-•——————•
A B C
Distance between any two points equals the absolute value if the difference of their coordinates
Ruler postulate
if B is between A and C, then AB+BC=AC
Segment addition postulate
Congruent
Two objects with the same size and shape
Two objects with the same size and shape
Congruent
Congruent notation
~
=
Congruent segments
Segments that have equal lengths
•———|———•
A B
•———|———•
C D
( the | is a symbol for congruent)
Segments that have equal lengths
Congruent segments
Equal segments must have the same _____
Length
Congruent symbol vs equal symbol
Equal
Congruent
~
=
Midpoint of a segment
The point that divides the segment into two congruent segments
•———|——•——|———•
A M B
M is the midpoint
The point that divides the segment into two congruent segments
Midpoint of a segment
Segment bisector
A line, segment, ray, or plane that intersects the segment at its midpoint
B• / / •—-|—/—-|—• \_\_ \_\_ C / D AB bid cents CD at E / A•
A line, segment, ray, or plane that intersects the segment at its midpoint
Segment bisector
Is there a midpoint on a line?
No, a line does not have a midpoint because it is infinite
Angle
The figure formed by 2 rays that have the same endpoint
The figure formed by 2 rays that have the same endpoint
Angle
Side of the angle
The two rays
The two rays in an angle
Side of the angle
Vertex
The common endpoint of rays
The common endpoint of rays
Vertex
Name all the different angles
- acute
- obtuse
- right
- straight
- reflex
- full
Angle addition postulate
If point B lies in the interior of angle AOC, then measure AOB + measure BOC = measure AOC
AOB+BOC=AOC
^ ^ | / C• / | •B | / O•——•—> A
If point B lies in the interior of angle AOC, then measure AOB + measure BOC = measure AOC
AOB+BOC=AOC
^ ^ | / C• / | •B | / O•——•—> A
Angle addition postulate
Angle addition postulate (straight angle)
If angle AOC is a straight angle and V is any point not on line AC, then mAOB + mBOC = 180
AOB+ BOC = 180
^ •B \ \ A O C
If angle AOC is a straight angle and V is any point not on line AC, then mAOB + mBOC = 180
AOB+ BOC = 180
^ •B \ \ A O C
Angle addition postulate (straight angle)
Congruent angles
Angles that have equal measures
33° 33°
90° 90°
Angles that have equal measures
Congruent angles
Adjacent angles
Two angles in a plane that have a COMMON VERTEX and a COMMON SIDE, but no common points.
Two angles in a plane that have a COMMON VERTEX and a COMMON SIDE, but no common points.
Adjacent angles
Angle bisector
The ray, segment, or line that intersects the vertex of an angle and divides the angle into two congruent adjacent angles. ^ ^ | / C• / | •B | / O•——•—> A
OB bisects angle COA
The ray, segment, or line that intersects the vertex of an angle and divides the angle into two congruent adjacent angles.
Angle bisector
A ___ contains at least two points; a ____ contains at least three points not all on one line
Line; plane
Through any two ____ there is exactly one _____
Points; line
Through any three ____ there is at-least one ___, and through any three _______ points, there is exactly one _____
Points;
Plane;
Non collinear;
Plane
If two ____ are in a plane, then the line that contains the points are in that ____
Points; plane
If two planes intersect, their intersection is a _____
Line
Scalene
No congruent sides, no congruent angles
No congruent sides, no congruent angles
Scalene
Isosceles
At least two congruent sides, two congruent angles
At least two congruent sides, two congruent angles
Isosceles
Equilateral
Three congruent sides, three congruent angles
Three congruent sides, three congruent angles
Equilateral
Scalene
No congruent sides, no congruent angles
No congruent sides, no congruent angles
Scalene
Isosceles
At least two congruent sides, two congruent angles
At least two congruent sides, two congruent angles
Isosceles
Equilateral
Three congruent sides, three congruent angles
Three congruent sides, three congruent angles
Equilateral
Scalene
No congruent sides, no congruent angles
No congruent sides, no congruent angles
Scalene
Isosceles
At least two congruent sides, two congruent angles
At least two congruent sides, two congruent angles
Isosceles
Equilateral
Three congruent sides, three congruent angles
Three congruent sides, three congruent angles
Equilateral
If two lines ____, they _____ at exactly one point
Intersect
Through a line and a ____ not on the line, there is exactly one _____
Point; plane
If two ___ intersect, then exactly one ____ contains the lines
Lines; plane
How many sides does an octagon have?
8
How many sides does a hexagon have?
6
What is a regular polygon?
When all the sides and angles of a polygon are congruent to each other.
When all the sides and angles of a polygon are congruent to each other
Regular polygon
Scalene
No congruent sides, no congruent angles
No congruent sides, no congruent angles
Scalene
Isosceles
At least two congruent sides, two congruent angles
At least two congruent sides, two congruent angles
Isosceles
Equilateral
Three congruent sides, three congruent angles
Three congruent sides, three congruent angles
Equilateral
How many sides does an octagon have?
8
How many sides does a hexagon have?
6
What is a regular polygon?
When all the sides and angles of a polygon are congruent to each other.
When all the sides and angles of a polygon are congruent to each other
Regular polygon
Scalene
No congruent sides, no congruent angles
No congruent sides, no congruent angles
Scalene
Isosceles
At least two congruent sides, two congruent angles
At least two congruent sides, two congruent angles
Isosceles
Equilateral
Three congruent sides, three congruent angles
Three congruent sides, three congruent angles
Equilateral
How many sides does an octagon have?
8
How many sides does a hexagon have?
6
What is a regular polygon?
When all the sides and angles of a polygon are congruent to each other.
When all the sides and angles of a polygon are congruent to each other
Regular polygon
Scalene
No congruent sides, no congruent angles
No congruent sides, no congruent angles
Scalene
Isosceles
At least two congruent sides, two congruent angles
At least two congruent sides, two congruent angles
Isosceles
Equilateral
Three congruent sides, three congruent angles
Three congruent sides, three congruent angles
Equilateral
How many sides does a triangle have?
3
How many sides does a decagon have?
Ten
How many sides does a pentagon have?
5
How many sides does an octagon have?
8
How many sides does a hexagon have?
6
What is a regular polygon?
When all the sides and angles of a polygon are congruent to each other.
When all the sides and angles of a polygon are congruent to each other
Regular polygon
Scalene
No congruent sides, no congruent angles
No congruent sides, no congruent angles
Scalene
Isosceles
At least two congruent sides, two congruent angles
At least two congruent sides, two congruent angles
Isosceles
Equilateral
Three congruent sides, three congruent angles
Three congruent sides, three congruent angles
Equilateral
How many sides does a triangle have?
3
How many sides does a decagon have?
Ten
How many sides does a pentagon have?
5
How many sides does an octagon have?
8
How many sides does a hexagon have?
6
What is a regular polygon?
When all the sides and angles of a polygon are congruent to each other.
When all the sides and angles of a polygon are congruent to each other
Regular polygon
Scalene
No congruent sides, no congruent angles
No congruent sides, no congruent angles
Scalene
Isosceles
At least two congruent sides, two congruent angles
At least two congruent sides, two congruent angles
Isosceles
Equilateral
Three congruent sides, three congruent angles
Three congruent sides, three congruent angles
Equilateral
How many sides does a triangle have?
3
How many sides does a decagon have?
Ten
How many sides does a pentagon have?
5
How many sides does an octagon have?
8
How many sides does a hexagon have?
6
What is a regular polygon?
When all the sides and angles of a polygon are congruent to each other.
When all the sides and angles of a polygon are congruent to each other
Regular polygon
Scalene
No congruent sides, no congruent angles
No congruent sides, no congruent angles
Scalene
Isosceles
At least two congruent sides, two congruent angles
At least two congruent sides, two congruent angles
Isosceles
Equilateral
Three congruent sides, three congruent angles
Three congruent sides, three congruent angles
Equilateral
How many sides does a triangle have?
3
How many sides does a decagon have?
Ten
How many sides does a pentagon have?
5
How many sides does an octagon have?
8
How many sides does a hexagon have?
6
What is a regular polygon?
When all the sides and angles of a polygon are congruent to each other.
When all the sides and angles of a polygon are congruent to each other
Regular polygon
Scalene
No congruent sides, no congruent angles
No congruent sides, no congruent angles
Scalene
Isosceles
At least two congruent sides, two congruent angles
At least two congruent sides, two congruent angles
Isosceles
Equilateral
Three congruent sides, three congruent angles
Three congruent sides, three congruent angles
Equilateral
How many sides does a triangle have?
3
How many sides does a decagon have?
Ten
How many sides does a pentagon have?
5
How many sides does an octagon have?
8
How many sides does a hexagon have?
6
What is a regular polygon?
When all the sides and angles of a polygon are congruent to each other.
When all the sides and angles of a polygon are congruent to each other
Regular polygon
Scalene
No congruent sides, no congruent angles
No congruent sides, no congruent angles
Scalene
Isosceles
At least two congruent sides, two congruent angles
At least two congruent sides, two congruent angles
Isosceles
Equilateral
Three congruent sides, three congruent angles
Three congruent sides, three congruent angles
Equilateral
How many sides does a triangle have?
3
How many sides does a decagon have?
Ten
How many sides does a pentagon have?
5
How many sides does an octagon have?
8
How many sides does a hexagon have?
6
What is a regular polygon?
When all the sides and angles of a polygon are congruent to each other.
When all the sides and angles of a polygon are congruent to each other
Regular polygon
Scalene
No congruent sides, no congruent angles
No congruent sides, no congruent angles
Scalene
Isosceles
At least two congruent sides, two congruent angles
At least two congruent sides, two congruent angles
Isosceles
Equilateral
Three congruent sides, three congruent angles
Three congruent sides, three congruent angles
Equilateral
How many sides does a triangle have?
3
How many sides does a decagon have?
Ten
How many sides does a pentagon have?
5
How many sides does an octagon have?
8
How many sides does a hexagon have?
6
What is a regular polygon?
When all the sides and angles of a polygon are congruent to each other.
When all the sides and angles of a polygon are congruent to each other
Regular polygon
Scalene
No congruent sides, no congruent angles
No congruent sides, no congruent angles
Scalene
Isosceles
At least two congruent sides, two congruent angles
At least two congruent sides, two congruent angles
Isosceles
Equilateral
Three congruent sides, three congruent angles
Three congruent sides, three congruent angles
Equilateral
How many sides does a triangle have?
3
How many sides does a decagon have?
Ten
How many sides does a pentagon have?
5
How many sides does an octagon have?
8
How many sides does a hexagon have?
6
What is a regular polygon?
When all the sides and angles of a polygon are congruent to each other.
When all the sides and angles of a polygon are congruent to each other
Regular polygon
Scalene
No congruent sides, no congruent angles
No congruent sides, no congruent angles
Scalene
Isosceles
At least two congruent sides, two congruent angles
At least two congruent sides, two congruent angles
Isosceles
Equilateral
Three congruent sides, three congruent angles
Three congruent sides, three congruent angles
Equilateral
How many sides does a triangle have?
3
How many sides does a decagon have?
Ten
How many sides does a pentagon have?
5
How many sides does an octagon have?
8
How many sides does a hexagon have?
6
What is a regular polygon?
When all the sides and angles of a polygon are congruent to each other.
When all the sides and angles of a polygon are congruent to each other
Regular polygon
Scalene
No congruent sides, no congruent angles
No congruent sides, no congruent angles
Scalene
Isosceles
At least two congruent sides, two congruent angles
At least two congruent sides, two congruent angles
Isosceles
Equilateral
Three congruent sides, three congruent angles
Three congruent sides, three congruent angles
Equilateral
How many sides does a triangle have?
3
How many sides does a decagon have?
Ten
How many sides does a pentagon have?
5
How many sides does an octagon have?
8
How many sides does a hexagon have?
6
What is a regular polygon?
When all the sides and angles of a polygon are congruent to each other.
When all the sides and angles of a polygon are congruent to each other
Regular polygon
Scalene
No congruent sides, no congruent angles
No congruent sides, no congruent angles
Scalene
Isosceles
At least two congruent sides, two congruent angles
At least two congruent sides, two congruent angles
Isosceles
Equilateral
Three congruent sides, three congruent angles
Three congruent sides, three congruent angles
Equilateral
How many sides does a triangle have?
3
How many sides does a decagon have?
Ten
How many sides does a pentagon have?
5
How many sides does an octagon have?
8
How many sides does a hexagon have?
6
What is a regular polygon?
When all the sides and angles of a polygon are congruent to each other.
When all the sides and angles of a polygon are congruent to each other
Regular polygon
Scalene
No congruent sides, no congruent angles
No congruent sides, no congruent angles
Scalene
Isosceles
At least two congruent sides, two congruent angles
At least two congruent sides, two congruent angles
Isosceles
Equilateral
Three congruent sides, three congruent angles
Three congruent sides, three congruent angles
Equilateral
How many sides does a triangle have?
3
How many sides does a decagon have?
Ten
How many sides does a pentagon have?
5
How many sides does an octagon have?
8
How many sides does a hexagon have?
6
What is a regular polygon?
When all the sides and angles of a polygon are congruent to each other.
When all the sides and angles of a polygon are congruent to each other
Regular polygon
Scalene
No congruent sides, no congruent angles
No congruent sides, no congruent angles
Scalene
Isosceles
At least two congruent sides, two congruent angles
At least two congruent sides, two congruent angles
Isosceles
Equilateral
Three congruent sides, three congruent angles
Three congruent sides, three congruent angles
Equilateral
How many sides does a triangle have?
3
How many sides does a decagon have?
Ten
How many sides does a pentagon have?
5
How many sides does an octagon have?
8
How many sides does a hexagon have?
6
What is a regular polygon?
When all the sides and angles of a polygon are congruent to each other.
When all the sides and angles of a polygon are congruent to each other
Regular polygon
Scalene
No congruent sides, no congruent angles
No congruent sides, no congruent angles
Scalene
Isosceles
At least two congruent sides, two congruent angles
At least two congruent sides, two congruent angles
Isosceles
Equilateral
Three congruent sides, three congruent angles
Three congruent sides, three congruent angles
Equilateral
How many sides does a triangle have?
3
How many sides does a decagon have?
Ten
How many sides does a pentagon have?
5
How many sides does an octagon have?
8
How many sides does a hexagon have?
6
What is a regular polygon?
When all the sides and angles of a polygon are congruent to each other.
When all the sides and angles of a polygon are congruent to each other
Regular polygon
Scalene
No congruent sides, no congruent angles
No congruent sides, no congruent angles
Scalene
Isosceles
At least two congruent sides, two congruent angles
At least two congruent sides, two congruent angles
Isosceles
Equilateral
Three congruent sides, three congruent angles
Three congruent sides, three congruent angles
Equilateral
How many sides does a triangle have?
3
How many sides does a decagon have?
Ten
How many sides does a pentagon have?
5
How many sides does an octagon have?
8
How many sides does a hexagon have?
6
What is a regular polygon?
When all the sides and angles of a polygon are congruent to each other.
When all the sides and angles of a polygon are congruent to each other
Regular polygon
Scalene
No congruent sides, no congruent angles
No congruent sides, no congruent angles
Scalene
Isosceles
At least two congruent sides, two congruent angles
At least two congruent sides, two congruent angles
Isosceles
Equilateral
Three congruent sides, three congruent angles
Three congruent sides, three congruent angles
Equilateral
How many sides does a triangle have?
3
How many sides does a decagon have?
Ten
How many sides does a pentagon have?
5
How many sides does an octagon have?
8
How many sides does a hexagon have?
6
What is a regular polygon?
When all the sides and angles of a polygon are congruent to each other.
When all the sides and angles of a polygon are congruent to each other
Regular polygon
Scalene
No congruent sides, no congruent angles
No congruent sides, no congruent angles
Scalene
Isosceles
At least two congruent sides, two congruent angles
At least two congruent sides, two congruent angles
Isosceles
Equilateral
Three congruent sides, three congruent angles
Three congruent sides, three congruent angles
Equilateral
How many sides does a triangle have?
3
How many sides does a decagon have?
Ten
How many sides does a pentagon have?
5
How many sides does an octagon have?
8
How many sides does a hexagon have?
6
What is a regular polygon?
When all the sides and angles of a polygon are congruent to each other.
When all the sides and angles of a polygon are congruent to each other
Regular polygon
Scalene
No congruent sides, no congruent angles
No congruent sides, no congruent angles
Scalene
Isosceles
At least two congruent sides, two congruent angles
At least two congruent sides, two congruent angles
Isosceles
Equilateral
Three congruent sides, three congruent angles
Three congruent sides, three congruent angles
Equilateral
How many sides does a triangle have?
3
How many sides does a decagon have?
Ten
How many sides does a pentagon have?
5
How many sides does an octagon have?
8
How many sides does a hexagon have?
6
What is a regular polygon?
When all the sides and angles of a polygon are congruent to each other.
When all the sides and angles of a polygon are congruent to each other
Regular polygon
Scalene
No congruent sides, no congruent angles
No congruent sides, no congruent angles
Scalene
Isosceles
At least two congruent sides, two congruent angles
At least two congruent sides, two congruent angles
Isosceles
Equilateral
Three congruent sides, three congruent angles
Three congruent sides, three congruent angles
Equilateral
How many sides does a triangle have?
3
How many sides does a decagon have?
Ten
How many sides does a pentagon have?
5
How many sides does an octagon have?
8
How many sides does a hexagon have?
6
What is a regular polygon?
When all the sides and angles of a polygon are congruent to each other.
When all the sides and angles of a polygon are congruent to each other
Regular polygon
Scalene
No congruent sides, no congruent angles
No congruent sides, no congruent angles
Scalene
Isosceles
At least two congruent sides, two congruent angles
At least two congruent sides, two congruent angles
Isosceles
Equilateral
Three congruent sides, three congruent angles
Three congruent sides, three congruent angles
Equilateral
How many sides does a triangle have?
3
How many sides does a decagon have?
Ten
How many sides does a pentagon have?
5
How many sides does an octagon have?
8
How many sides does a hexagon have?
6
What is a regular polygon?
When all the sides and angles of a polygon are congruent to each other.
When all the sides and angles of a polygon are congruent to each other
Regular polygon
Scalene
No congruent sides, no congruent angles
No congruent sides, no congruent angles
Scalene
Isosceles
At least two congruent sides, two congruent angles
At least two congruent sides, two congruent angles
Isosceles
Equilateral
Three congruent sides, three congruent angles
Three congruent sides, three congruent angles
Equilateral
How many sides does a triangle have?
3
How many sides does a decagon have?
Ten
How many sides does a pentagon have?
5
How many sides does an octagon have?
8
How many sides does a hexagon have?
6
What is a regular polygon?
When all the sides and angles of a polygon are congruent to each other.
When all the sides and angles of a polygon are congruent to each other
Regular polygon
Scalene
No congruent sides, no congruent angles
No congruent sides, no congruent angles
Scalene
Isosceles
At least two congruent sides, two congruent angles
At least two congruent sides, two congruent angles
Isosceles
Equilateral
Three congruent sides, three congruent angles
Three congruent sides, three congruent angles
Equilateral
How many sides does a triangle have?
3
How many sides does a decagon have?
Ten
How many sides does a pentagon have?
5
How many sides does an octagon have?
8
How many sides does a hexagon have?
6
What is a regular polygon?
When all the sides and angles of a polygon are congruent to each other.
When all the sides and angles of a polygon are congruent to each other
Regular polygon
Scalene
No congruent sides, no congruent angles
No congruent sides, no congruent angles
Scalene
Isosceles
At least two congruent sides, two congruent angles
At least two congruent sides, two congruent angles
Isosceles
Equilateral
Three congruent sides, three congruent angles
Three congruent sides, three congruent angles
Equilateral
How many sides does a triangle have?
3
How many sides does a decagon have?
Ten
How many sides does a pentagon have?
5
How many sides does an octagon have?
8
How many sides does a hexagon have?
6
What is a regular polygon?
When all the sides and angles of a polygon are congruent to each other.
When all the sides and angles of a polygon are congruent to each other
Regular polygon
Scalene
No congruent sides, no congruent angles
No congruent sides, no congruent angles
Scalene
Isosceles
At least two congruent sides, two congruent angles
At least two congruent sides, two congruent angles
Isosceles
Equilateral
Three congruent sides, three congruent angles
Three congruent sides, three congruent angles
Equilateral
How many sides does a triangle have?
3
How many sides does a decagon have?
Ten
How many sides does a pentagon have?
5
How many sides does an octagon have?
8
How many sides does a hexagon have?
6
What is a regular polygon?
When all the sides and angles of a polygon are congruent to each other.
When all the sides and angles of a polygon are congruent to each other
Regular polygon
Scalene
No congruent sides, no congruent angles
No congruent sides, no congruent angles
Scalene
Isosceles
At least two congruent sides, two congruent angles
At least two congruent sides, two congruent angles
Isosceles
Equilateral
Three congruent sides, three congruent angles
Three congruent sides, three congruent angles
Equilateral
How many sides does a triangle have?
3
How many sides does a decagon have?
Ten
How many sides does a pentagon have?
5
How many sides does an octagon have?
8
How many sides does a hexagon have?
6
What is a regular polygon?
When all the sides and angles of a polygon are congruent to each other.
When all the sides and angles of a polygon are congruent to each other
Regular polygon
Scalene
No congruent sides, no congruent angles
No congruent sides, no congruent angles
Scalene
Isosceles
At least two congruent sides, two congruent angles
At least two congruent sides, two congruent angles
Isosceles
Equilateral
Three congruent sides, three congruent angles
Three congruent sides, three congruent angles
Equilateral
How many sides does a triangle have?
3
How many sides does a decagon have?
Ten
How many sides does a pentagon have?
5
How many sides does an octagon have?
8
How many sides does a hexagon have?
6
What is a regular polygon?
When all the sides and angles of a polygon are congruent to each other.
When all the sides and angles of a polygon are congruent to each other
Regular polygon
Scalene
No congruent sides, no congruent angles
No congruent sides, no congruent angles
Scalene
Isosceles
At least two congruent sides, two congruent angles
At least two congruent sides, two congruent angles
Isosceles
Equilateral
Three congruent sides, three congruent angles
Three congruent sides, three congruent angles
Equilateral
How many sides does a triangle have?
3
How many sides does a decagon have?
Ten
How many sides does a pentagon have?
5
How many sides does an octagon have?
8
How many sides does a hexagon have?
6
What is a regular polygon?
When all the sides and angles of a polygon are congruent to each other.
When all the sides and angles of a polygon are congruent to each other
Regular polygon
Scalene
No congruent sides, no congruent angles
No congruent sides, no congruent angles
Scalene
Isosceles
At least two congruent sides, two congruent angles
At least two congruent sides, two congruent angles
Isosceles
Equilateral
Three congruent sides, three congruent angles
Three congruent sides, three congruent angles
Equilateral
How many sides does a triangle have?
3
How many sides does a decagon have?
Ten
How many sides does a pentagon have?
5
How many sides does an octagon have?
8
How many sides does a hexagon have?
6
What is a regular polygon?
When all the sides and angles of a polygon are congruent to each other.
When all the sides and angles of a polygon are congruent to each other
Regular polygon
Scalene
No congruent sides, no congruent angles
No congruent sides, no congruent angles
Scalene
Isosceles
At least two congruent sides, two congruent angles
At least two congruent sides, two congruent angles
Isosceles
Equilateral
Three congruent sides, three congruent angles
Three congruent sides, three congruent angles
Equilateral
How many sides does a triangle have?
3
How many sides does a decagon have?
Ten
How many sides does a pentagon have?
5
How many sides does an octagon have?
8
How many sides does a hexagon have?
6
What is a regular polygon?
When all the sides and angles of a polygon are congruent to each other.
When all the sides and angles of a polygon are congruent to each other
Regular polygon
Scalene
No congruent sides, no congruent angles
No congruent sides, no congruent angles
Scalene
Isosceles
At least two congruent sides, two congruent angles
At least two congruent sides, two congruent angles
Isosceles
Equilateral
Three congruent sides, three congruent angles
Three congruent sides, three congruent angles
Equilateral
How many sides does a triangle have?
3
How many sides does a decagon have?
Ten
How many sides does a pentagon have?
5
How many sides does an octagon have?
8
How many sides does a hexagon have?
6
What is a regular polygon?
When all the sides and angles of a polygon are congruent to each other.
When all the sides and angles of a polygon are congruent to each other
Regular polygon
Scalene
No congruent sides, no congruent angles
No congruent sides, no congruent angles
Scalene
Isosceles
At least two congruent sides, two congruent angles
At least two congruent sides, two congruent angles
Isosceles
Equilateral
Three congruent sides, three congruent angles
Three congruent sides, three congruent angles
Equilateral
How many sides does a triangle have?
3
How many sides does a decagon have?
Ten
How many sides does a pentagon have?
5
How many sides does an octagon have?
8
How many sides does a hexagon have?
6
What is a regular polygon?
When all the sides and angles of a polygon are congruent to each other.
When all the sides and angles of a polygon are congruent to each other
Regular polygon
Scalene
No congruent sides, no congruent angles
No congruent sides, no congruent angles
Scalene
Isosceles
At least two congruent sides, two congruent angles
At least two congruent sides, two congruent angles
Isosceles
Equilateral
Three congruent sides, three congruent angles
Three congruent sides, three congruent angles
Equilateral
How many sides does a triangle have?
3
How many sides does a decagon have?
Ten
How many sides does a pentagon have?
5
How many sides does an octagon have?
8
How many sides does a hexagon have?
6
What is a regular polygon?
When all the sides and angles of a polygon are congruent to each other.
When all the sides and angles of a polygon are congruent to each other
Regular polygon
Scalene
No congruent sides, no congruent angles
No congruent sides, no congruent angles
Scalene
Isosceles
At least two congruent sides, two congruent angles
At least two congruent sides, two congruent angles
Isosceles
Equilateral
Three congruent sides, three congruent angles
Three congruent sides, three congruent angles
Equilateral
How many sides does a triangle have?
3
How many sides does a decagon have?
Ten
How many sides does a pentagon have?
5
How many sides does an octagon have?
8
How many sides does a hexagon have?
6
What is a regular polygon?
When all the sides and angles of a polygon are congruent to each other.
When all the sides and angles of a polygon are congruent to each other
Regular polygon
Scalene
No congruent sides, no congruent angles
No congruent sides, no congruent angles
Scalene
Isosceles
At least two congruent sides, two congruent angles
At least two congruent sides, two congruent angles
Isosceles
Equilateral
Three congruent sides, three congruent angles
Three congruent sides, three congruent angles
Equilateral
How many sides does a triangle have?
3
How many sides does a decagon have?
Ten
How many sides does a pentagon have?
5
How many sides does an octagon have?
8
How many sides does a hexagon have?
6
What is a regular polygon?
When all the sides and angles of a polygon are congruent to each other.
When all the sides and angles of a polygon are congruent to each other
Regular polygon
Scalene
No congruent sides, no congruent angles
No congruent sides, no congruent angles
Scalene
Isosceles
At least two congruent sides, two congruent angles
At least two congruent sides, two congruent angles
Isosceles
Equilateral
Three congruent sides, three congruent angles
Three congruent sides, three congruent angles
Equilateral
How many sides does a triangle have?
3
How many sides does a decagon have?
Ten
How many sides does a pentagon have?
5
How many sides does an octagon have?
8
How many sides does a hexagon have?
6
What is a regular polygon?
When all the sides and angles of a polygon are congruent to each other.
When all the sides and angles of a polygon are congruent to each other
Regular polygon
Scalene
No congruent sides, no congruent angles
No congruent sides, no congruent angles
Scalene
Isosceles
At least two congruent sides, two congruent angles
At least two congruent sides, two congruent angles
Isosceles
Equilateral
Three congruent sides, three congruent angles
Three congruent sides, three congruent angles
Equilateral
How many sides does a triangle have?
3
How many sides does a decagon have?
Ten
How many sides does a pentagon have?
5
How many sides does an octagon have?
8
How many sides does a hexagon have?
6
What is a regular polygon?
When all the sides and angles of a polygon are congruent to each other.
When all the sides and angles of a polygon are congruent to each other
Regular polygon
Scalene
No congruent sides, no congruent angles
No congruent sides, no congruent angles
Scalene
Isosceles
At least two congruent sides, two congruent angles
At least two congruent sides, two congruent angles
Isosceles
Equilateral
Three congruent sides, three congruent angles
Three congruent sides, three congruent angles
Equilateral
How many sides does a triangle have?
3
How many sides does a decagon have?
Ten
How many sides does a pentagon have?
5
How many sides does an octagon have?
8
How many sides does a hexagon have?
6
What is a regular polygon?
When all the sides and angles of a polygon are congruent to each other.
When all the sides and angles of a polygon are congruent to each other
Regular polygon
Scalene
No congruent sides, no congruent angles
No congruent sides, no congruent angles
Scalene
Isosceles
At least two congruent sides, two congruent angles
At least two congruent sides, two congruent angles
Isosceles
Equilateral
Three congruent sides, three congruent angles
Three congruent sides, three congruent angles
Equilateral
How many sides does a triangle have?
3
How many sides does a decagon have?
Ten
How many sides does a pentagon have?
5
How many sides does an octagon have?
8
How many sides does a hexagon have?
6
What is a regular polygon?
When all the sides and angles of a polygon are congruent to each other.
When all the sides and angles of a polygon are congruent to each other
Regular polygon
Scalene
No congruent sides, no congruent angles
No congruent sides, no congruent angles
Scalene
Isosceles
At least two congruent sides, two congruent angles
At least two congruent sides, two congruent angles
Isosceles
Equilateral
Three congruent sides, three congruent angles
Three congruent sides, three congruent angles
Equilateral
How many sides does a triangle have?
3
How many sides does a decagon have?
Ten
How many sides does a pentagon have?
5
How many sides does an octagon have?
8
How many sides does a hexagon have?
6
What is a regular polygon?
When all the sides and angles of a polygon are congruent to each other.
When all the sides and angles of a polygon are congruent to each other
Regular polygon
Scalene
No congruent sides, no congruent angles
No congruent sides, no congruent angles
Scalene
Isosceles
At least two congruent sides, two congruent angles
At least two congruent sides, two congruent angles
Isosceles
Equilateral
Three congruent sides, three congruent angles
Three congruent sides, three congruent angles
Equilateral
How many sides does a triangle have?
3
How many sides does a decagon have?
Ten
How many sides does a pentagon have?
5
How many sides does an octagon have?
8
How many sides does a hexagon have?
6
What is a regular polygon?
When all the sides and angles of a polygon are congruent to each other.
When all the sides and angles of a polygon are congruent to each other
Regular polygon
Scalene
No congruent sides, no congruent angles
No congruent sides, no congruent angles
Scalene
Isosceles
At least two congruent sides, two congruent angles
At least two congruent sides, two congruent angles
Isosceles
Equilateral
Three congruent sides, three congruent angles
Three congruent sides, three congruent angles
Equilateral
How many sides does a triangle have?
3
How many sides does a decagon have?
Ten
How many sides does a pentagon have?
5
How many sides does an octagon have?
8
How many sides does a hexagon have?
6
What is a regular polygon?
When all the sides and angles of a polygon are congruent to each other.
When all the sides and angles of a polygon are congruent to each other
Regular polygon
Scalene
No congruent sides, no congruent angles
No congruent sides, no congruent angles
Scalene
Isosceles
At least two congruent sides, two congruent angles
At least two congruent sides, two congruent angles
Isosceles
Equilateral
Three congruent sides, three congruent angles
Three congruent sides, three congruent angles
Equilateral
How many sides does a triangle have?
3
How many sides does a decagon have?
Ten
How many sides does a pentagon have?
5
How many sides does an octagon have?
8
How many sides does a hexagon have?
6
What is a regular polygon?
When all the sides and angles of a polygon are congruent to each other.
When all the sides and angles of a polygon are congruent to each other
Regular polygon
Scalene
No congruent sides, no congruent angles
No congruent sides, no congruent angles
Scalene
Isosceles
At least two congruent sides, two congruent angles
At least two congruent sides, two congruent angles
Isosceles
Equilateral
Three congruent sides, three congruent angles
Three congruent sides, three congruent angles
Equilateral
How many sides does a triangle have?
3
How many sides does a decagon have?
Ten
How many sides does a pentagon have?
5
How many sides does an octagon have?
8
How many sides does a hexagon have?
6
What is a regular polygon?
When all the sides and angles of a polygon are congruent to each other.
When all the sides and angles of a polygon are congruent to each other
Regular polygon
Scalene
No congruent sides, no congruent angles
No congruent sides, no congruent angles
Scalene
Isosceles
At least two congruent sides, two congruent angles
At least two congruent sides, two congruent angles
Isosceles
Equilateral
Three congruent sides, three congruent angles
Three congruent sides, three congruent angles
Equilateral
How many sides does a triangle have?
3
How many sides does a decagon have?
Ten
How many sides does a pentagon have?
5
How many sides does an octagon have?
8
How many sides does a hexagon have?
6
What is a regular polygon?
When all the sides and angles of a polygon are congruent to each other.
When all the sides and angles of a polygon are congruent to each other
Regular polygon
Scalene
No congruent sides, no congruent angles
No congruent sides, no congruent angles
Scalene
Isosceles
At least two congruent sides, two congruent angles
At least two congruent sides, two congruent angles
Isosceles
Equilateral
Three congruent sides, three congruent angles
Three congruent sides, three congruent angles
Equilateral
How many sides does a triangle have?
3
How many sides does a decagon have?
Ten
How many sides does a pentagon have?
5
How many sides does an octagon have?
8
How many sides does a hexagon have?
6
What is a regular polygon?
When all the sides and angles of a polygon are congruent to each other.
When all the sides and angles of a polygon are congruent to each other
Regular polygon
Scalene
No congruent sides, no congruent angles
No congruent sides, no congruent angles
Scalene
Isosceles
At least two congruent sides, two congruent angles
At least two congruent sides, two congruent angles
Isosceles
Equilateral
Three congruent sides, three congruent angles
Three congruent sides, three congruent angles
Equilateral
How many sides does a triangle have?
3
How many sides does a quadrilateral have?
4
How many sides does a decagon have?
Ten
How many sides does a pentagon have?
5
How many sides does an octagon have?
8
How many sides does a hexagon have?
6
What is a regular polygon?
When all the sides and angles of a polygon are congruent to each other.
When all the sides and angles of a polygon are congruent to each other
Regular polygon
Scalene
No congruent sides, no congruent angles
No congruent sides, no congruent angles
Scalene
Isosceles
At least two congruent sides, two congruent angles
At least two congruent sides, two congruent angles
Isosceles
Equilateral
Three congruent sides, three congruent angles
Three congruent sides, three congruent angles
Equilateral
How many sides does a triangle have?
3
How many sides does a quadrilateral have?
4
How many sides does a decagon have?
Ten
How many sides does a pentagon have?
5
How many sides does an octagon have?
8
How many sides does a hexagon have?
6
What is a regular polygon?
When all the sides and angles of a polygon are congruent to each other.
When all the sides and angles of a polygon are congruent to each other
Regular polygon
Scalene
No congruent sides, no congruent angles
No congruent sides, no congruent angles
Scalene
Isosceles
At least two congruent sides, two congruent angles
At least two congruent sides, two congruent angles
Isosceles
Equilateral
Three congruent sides, three congruent angles
Three congruent sides, three congruent angles
Equilateral
How many sides does a triangle have?
3
How many sides does a quadrilateral have?
4
How many sides does a decagon have?
Ten
How many sides does a pentagon have?
5
How many sides does an octagon have?
8
How many sides does a hexagon have?
6
What is a regular polygon?
When all the sides and angles of a polygon are congruent to each other.
When all the sides and angles of a polygon are congruent to each other
Regular polygon
Scalene
No congruent sides, no congruent angles
No congruent sides, no congruent angles
Scalene
Isosceles
At least two congruent sides, two congruent angles
At least two congruent sides, two congruent angles
Isosceles
Equilateral
Three congruent sides, three congruent angles
Three congruent sides, three congruent angles
Equilateral
How many sides does a triangle have?
3
How many sides does a quadrilateral have?
4
How many sides does a decagon have?
Ten
How many sides does a pentagon have?
5
How many sides does an octagon have?
8
How many sides does a hexagon have?
6
What is a regular polygon?
When all the sides and angles of a polygon are congruent to each other.
When all the sides and angles of a polygon are congruent to each other
Regular polygon
Scalene
No congruent sides, no congruent angles
No congruent sides, no congruent angles
Scalene
Isosceles
At least two congruent sides, two congruent angles
At least two congruent sides, two congruent angles
Isosceles
Equilateral
Three congruent sides, three congruent angles
Three congruent sides, three congruent angles
Equilateral
How many sides does a triangle have?
3
How many sides does a quadrilateral have?
4
How many sides does a decagon have?
Ten
How many sides does a pentagon have?
5
How many sides does an octagon have?
8
How many sides does a hexagon have?
6
What is a regular polygon?
When all the sides and angles of a polygon are congruent to each other.
When all the sides and angles of a polygon are congruent to each other
Regular polygon
Scalene
No congruent sides, no congruent angles
No congruent sides, no congruent angles
Scalene
Isosceles
At least two congruent sides, two congruent angles
At least two congruent sides, two congruent angles
Isosceles
Equilateral
Three congruent sides, three congruent angles
Three congruent sides, three congruent angles
Equilateral
How many sides does a triangle have?
3
How many sides does a quadrilateral have?
4
How many sides does a decagon have?
Ten
How many sides does a pentagon have?
5
How many sides does an octagon have?
8
How many sides does a hexagon have?
6
What is a regular polygon?
When all the sides and angles of a polygon are congruent to each other.
When all the sides and angles of a polygon are congruent to each other
Regular polygon
Scalene
No congruent sides, no congruent angles
No congruent sides, no congruent angles
Scalene
Isosceles
At least two congruent sides, two congruent angles
At least two congruent sides, two congruent angles
Isosceles
Equilateral
Three congruent sides, three congruent angles
Three congruent sides, three congruent angles
Equilateral
How many sides does a triangle have?
3
How many sides does a quadrilateral have?
4
How many sides does a decagon have?
Ten
How many sides does a pentagon have?
5
How many sides does an octagon have?
8
How many sides does a hexagon have?
6
What is a regular polygon?
When all the sides and angles of a polygon are congruent to each other.
When all the sides and angles of a polygon are congruent to each other
Regular polygon
Scalene
No congruent sides, no congruent angles
No congruent sides, no congruent angles
Scalene
Isosceles
At least two congruent sides, two congruent angles
At least two congruent sides, two congruent angles
Isosceles
Equilateral
Three congruent sides, three congruent angles
Three congruent sides, three congruent angles
Equilateral
How many sides does a triangle have?
3
How many sides does a quadrilateral have?
4
How many sides does a decagon have?
Ten
How many sides does a pentagon have?
5
How many sides does an octagon have?
8
How many sides does a hexagon have?
6
What is a regular polygon?
When all the sides and angles of a polygon are congruent to each other.
When all the sides and angles of a polygon are congruent to each other
Regular polygon
Scalene
No congruent sides, no congruent angles
No congruent sides, no congruent angles
Scalene
Isosceles
At least two congruent sides, two congruent angles
At least two congruent sides, two congruent angles
Isosceles
Equilateral
Three congruent sides, three congruent angles
Three congruent sides, three congruent angles
Equilateral
How many sides does a triangle have?
3
How many sides does a quadrilateral have?
4
How many sides does a decagon have?
Ten
How many sides does a pentagon have?
5
How many sides does an octagon have?
8
How many sides does a hexagon have?
6
What is a regular polygon?
When all the sides and angles of a polygon are congruent to each other.
When all the sides and angles of a polygon are congruent to each other
Regular polygon
Scalene
No congruent sides, no congruent angles
No congruent sides, no congruent angles
Scalene
Isosceles
At least two congruent sides, two congruent angles
At least two congruent sides, two congruent angles
Isosceles
Equilateral
Three congruent sides, three congruent angles
Three congruent sides, three congruent angles
Equilateral
How many sides does a triangle have?
3
How many sides does a quadrilateral have?
4
How many sides does a decagon have?
Ten
How many sides does a pentagon have?
5
How many sides does an octagon have?
8
How many sides does a hexagon have?
6
What is a regular polygon?
When all the sides and angles of a polygon are congruent to each other.
When all the sides and angles of a polygon are congruent to each other
Regular polygon
Scalene
No congruent sides, no congruent angles
No congruent sides, no congruent angles
Scalene
Isosceles
At least two congruent sides, two congruent angles
At least two congruent sides, two congruent angles
Isosceles
Equilateral
Three congruent sides, three congruent angles
Three congruent sides, three congruent angles
Equilateral
How many sides does a triangle have?
3
How many sides does a quadrilateral have?
4
How many sides does a decagon have?
Ten
How many sides does a pentagon have?
5
How many sides does an octagon have?
8
How many sides does a hexagon have?
6
What is a regular polygon?
When all the sides and angles of a polygon are congruent to each other.
When all the sides and angles of a polygon are congruent to each other
Regular polygon
Scalene
No congruent sides, no congruent angles
No congruent sides, no congruent angles
Scalene
Isosceles
At least two congruent sides, two congruent angles
At least two congruent sides, two congruent angles
Isosceles
Equilateral
Three congruent sides, three congruent angles
Three congruent sides, three congruent angles
Equilateral
How many sides does a triangle have?
3
How many sides does a quadrilateral have?
4
How many sides does a decagon have?
Ten
How many sides does a pentagon have?
5
How many sides does an octagon have?
8
How many sides does a hexagon have?
6
What is a regular polygon?
When all the sides and angles of a polygon are congruent to each other.
When all the sides and angles of a polygon are congruent to each other
Regular polygon
Scalene
No congruent sides, no congruent angles
No congruent sides, no congruent angles
Scalene
Isosceles
At least two congruent sides, two congruent angles
At least two congruent sides, two congruent angles
Isosceles
Equilateral
Three congruent sides, three congruent angles
Three congruent sides, three congruent angles
Equilateral
How many sides does a triangle have?
3
How many sides does a quadrilateral have?
4
How many sides does a decagon have?
Ten
How many sides does a pentagon have?
5
How many sides does an octagon have?
8
How many sides does a hexagon have?
6
What is a regular polygon?
When all the sides and angles of a polygon are congruent to each other.
When all the sides and angles of a polygon are congruent to each other
Regular polygon
Scalene
No congruent sides, no congruent angles
No congruent sides, no congruent angles
Scalene
Isosceles
At least two congruent sides, two congruent angles
At least two congruent sides, two congruent angles
Isosceles
Equilateral
Three congruent sides, three congruent angles
Three congruent sides, three congruent angles
Equilateral
How many sides does a triangle have?
3
How many sides does a quadrilateral have?
4
How many sides does a decagon have?
Ten
How many sides does a pentagon have?
5
How many sides does an octagon have?
8
How many sides does a hexagon have?
6
What is a regular polygon?
When all the sides and angles of a polygon are congruent to each other.
When all the sides and angles of a polygon are congruent to each other
Regular polygon
Scalene
No congruent sides, no congruent angles
No congruent sides, no congruent angles
Scalene
Isosceles
At least two congruent sides, two congruent angles
At least two congruent sides, two congruent angles
Isosceles
Equilateral
Three congruent sides, three congruent angles
Three congruent sides, three congruent angles
Equilateral
How many sides does a triangle have?
3
How many sides does a quadrilateral have?
4
How many sides does a decagon have?
Ten
How many sides does a pentagon have?
5
How many sides does an octagon have?
8
How many sides does a hexagon have?
6
What is a regular polygon?
When all the sides and angles of a polygon are congruent to each other.
When all the sides and angles of a polygon are congruent to each other
Regular polygon
Scalene
No congruent sides, no congruent angles
No congruent sides, no congruent angles
Scalene
Isosceles
At least two congruent sides, two congruent angles
At least two congruent sides, two congruent angles
Isosceles
Equilateral
Three congruent sides, three congruent angles
Three congruent sides, three congruent angles
Equilateral
How many sides does a triangle have?
3
How many sides does a quadrilateral have?
4
How many sides does a decagon have?
Ten
How many sides does a pentagon have?
5
How many sides does an octagon have?
8
How many sides does a hexagon have?
6
What is a regular polygon?
When all the sides and angles of a polygon are congruent to each other.
When all the sides and angles of a polygon are congruent to each other
Regular polygon
Scalene
No congruent sides, no congruent angles
No congruent sides, no congruent angles
Scalene
Isosceles
At least two congruent sides, two congruent angles
At least two congruent sides, two congruent angles
Isosceles
Equilateral
Three congruent sides, three congruent angles
Three congruent sides, three congruent angles
Equilateral
How many sides does a triangle have?
3
How many sides does a quadrilateral have?
4
How many sides does a decagon have?
Ten
How many sides does a pentagon have?
5
How many sides does an octagon have?
8
How many sides does a hexagon have?
6
What is a regular polygon?
When all the sides and angles of a polygon are congruent to each other.
When all the sides and angles of a polygon are congruent to each other
Regular polygon
Scalene
No congruent sides, no congruent angles
No congruent sides, no congruent angles
Scalene
Isosceles
At least two congruent sides, two congruent angles
At least two congruent sides, two congruent angles
Isosceles
Equilateral
Three congruent sides, three congruent angles
Three congruent sides, three congruent angles
Equilateral
How many sides does a triangle have?
3
How many sides does a quadrilateral have?
4
How many sides does a decagon have?
Ten
How many sides does a pentagon have?
5
How many sides does an octagon have?
8
How many sides does a hexagon have?
6
What is a regular polygon?
When all the sides and angles of a polygon are congruent to each other.
When all the sides and angles of a polygon are congruent to each other
Regular polygon
Scalene
No congruent sides, no congruent angles
No congruent sides, no congruent angles
Scalene
Isosceles
At least two congruent sides, two congruent angles
At least two congruent sides, two congruent angles
Isosceles
Equilateral
Three congruent sides, three congruent angles
Three congruent sides, three congruent angles
Equilateral
How many sides does a triangle have?
3
How many sides does a quadrilateral have?
4
How many sides does a decagon have?
Ten
How many sides does a pentagon have?
5
How many sides does an octagon have?
8
How many sides does a hexagon have?
6
What is a regular polygon?
When all the sides and angles of a polygon are congruent to each other.
When all the sides and angles of a polygon are congruent to each other
Regular polygon
Scalene
No congruent sides, no congruent angles
No congruent sides, no congruent angles
Scalene
Isosceles
At least two congruent sides, two congruent angles
At least two congruent sides, two congruent angles
Isosceles
Equilateral
Three congruent sides, three congruent angles
Three congruent sides, three congruent angles
Equilateral
How many sides does a triangle have?
3
How many sides does a quadrilateral have?
4
How many sides does a decagon have?
Ten
How many sides does a pentagon have?
5
How many sides does an octagon have?
8
How many sides does a hexagon have?
6
What is a regular polygon?
When all the sides and angles of a polygon are congruent to each other.
When all the sides and angles of a polygon are congruent to each other
Regular polygon
Scalene
No congruent sides, no congruent angles
No congruent sides, no congruent angles
Scalene
Isosceles
At least two congruent sides, two congruent angles
At least two congruent sides, two congruent angles
Isosceles
Equilateral
Three congruent sides, three congruent angles
Three congruent sides, three congruent angles
Equilateral
How many sides does a triangle have?
3
How many sides does a quadrilateral have?
4
How many sides does a decagon have?
Ten
How many sides does a pentagon have?
5
How many sides does an octagon have?
8
How many sides does a hexagon have?
6
What is a regular polygon?
When all the sides and angles of a polygon are congruent to each other.
When all the sides and angles of a polygon are congruent to each other
Regular polygon
Scalene
No congruent sides, no congruent angles
No congruent sides, no congruent angles
Scalene
Isosceles
At least two congruent sides, two congruent angles
At least two congruent sides, two congruent angles
Isosceles
Equilateral
Three congruent sides, three congruent angles
Three congruent sides, three congruent angles
Equilateral
How many sides does a triangle have?
3
How many sides does a quadrilateral have?
4
How many sides does a decagon have?
Ten
How many sides does a pentagon have?
5
How many sides does an octagon have?
8
How many sides does a hexagon have?
6
What is a regular polygon?
When all the sides and angles of a polygon are congruent to each other.
When all the sides and angles of a polygon are congruent to each other
Regular polygon
Scalene
No congruent sides, no congruent angles
No congruent sides, no congruent angles
Scalene
Isosceles
At least two congruent sides, two congruent angles
At least two congruent sides, two congruent angles
Isosceles
Equilateral
Three congruent sides, three congruent angles
Three congruent sides, three congruent angles
Equilateral
How many sides does a triangle have?
3
How many sides does a quadrilateral have?
4
How many sides does a decagon have?
Ten
How many sides does a pentagon have?
5
How many sides does an octagon have?
8
How many sides does a hexagon have?
6
What is a regular polygon?
When all the sides and angles of a polygon are congruent to each other.
When all the sides and angles of a polygon are congruent to each other
Regular polygon
Scalene
No congruent sides, no congruent angles
No congruent sides, no congruent angles
Scalene
Isosceles
At least two congruent sides, two congruent angles
At least two congruent sides, two congruent angles
Isosceles
Equilateral
Three congruent sides, three congruent angles
Three congruent sides, three congruent angles
Equilateral
How many sides does a triangle have?
3
How many sides does a quadrilateral have?
4
How many sides does a decagon have?
Ten
How many sides does a pentagon have?
5
How many sides does an octagon have?
8
How many sides does a hexagon have?
6
What is a regular polygon?
When all the sides and angles of a polygon are congruent to each other.
When all the sides and angles of a polygon are congruent to each other
Regular polygon
Scalene
No congruent sides, no congruent angles
No congruent sides, no congruent angles
Scalene
Isosceles
At least two congruent sides, two congruent angles
At least two congruent sides, two congruent angles
Isosceles
Equilateral
Three congruent sides, three congruent angles
Three congruent sides, three congruent angles
Equilateral
How many sides does a triangle have?
3
How many sides does a quadrilateral have?
4
How many sides does a decagon have?
Ten
How many sides does a pentagon have?
5
How many sides does an octagon have?
8
How many sides does a hexagon have?
6
What is a regular polygon?
When all the sides and angles of a polygon are congruent to each other.
When all the sides and angles of a polygon are congruent to each other
Regular polygon
Scalene
No congruent sides, no congruent angles
No congruent sides, no congruent angles
Scalene
Isosceles
At least two congruent sides, two congruent angles
At least two congruent sides, two congruent angles
Isosceles
Equilateral
Three congruent sides, three congruent angles
Three congruent sides, three congruent angles
Equilateral
How many sides does a triangle have?
3
How many sides does a quadrilateral have?
4
How many sides does a decagon have?
Ten
How many sides does a pentagon have?
5
How many sides does an octagon have?
8
How many sides does a hexagon have?
6
What is a regular polygon?
When all the sides and angles of a polygon are congruent to each other.
When all the sides and angles of a polygon are congruent to each other
Regular polygon
Scalene
No congruent sides, no congruent angles
No congruent sides, no congruent angles
Scalene
Isosceles
At least two congruent sides, two congruent angles
At least two congruent sides, two congruent angles
Isosceles
Equilateral
Three congruent sides, three congruent angles
Three congruent sides, three congruent angles
Equilateral
How many sides does a triangle have?
3
How many sides does a quadrilateral have?
4
How many sides does a decagon have?
Ten
How many sides does a pentagon have?
5
How many sides does an octagon have?
8
How many sides does a hexagon have?
6
What is a regular polygon?
When all the sides and angles of a polygon are congruent to each other.
When all the sides and angles of a polygon are congruent to each other
Regular polygon
Scalene
No congruent sides, no congruent angles
No congruent sides, no congruent angles
Scalene
Isosceles
At least two congruent sides, two congruent angles
At least two congruent sides, two congruent angles
Isosceles
Equilateral
Three congruent sides, three congruent angles
Three congruent sides, three congruent angles
Equilateral
How many sides does a triangle have?
3
How many sides does a quadrilateral have?
4
How many sides does a decagon have?
Ten
How many sides does a pentagon have?
5