Chapter 1 Flashcards
is made up pf points and lines, has no thickness or width. exactly one through two points
line
flat surface made of 3 or more points. extends infinitely in all directions. made of 3 non co-lin points
plane
a line with 2 distinct endpoints
line segment
part of a line that has one endpoint. extends infinitely in one direction.
ray
two collinear rays that form a line
opposite rays
Points that lie on the same line
Co-linear points
Points that do not lay on the same line
non co-linear points
Set of all the points two geometric figures have in common
Intersection
2 lines that never intersect
parallel lines
boundless, 3 dimensional set of all points. can contain lines and points
space
points that lie on the same plane
coplanar points
points that do not lie on the same plane
non co-planar points
all of the elements in a combined set
union
2 lines that intersect at exactly 1 point and form a right angle
perpendicular lines
Notate: point X
X
Notate: line G
cursive lowercase g
Notate: Line RG
RG
Notate: Collinear points M, N, O
co-lin M,N,O
Notate: non collinear points A,B,C
non co-lin A,B,C
Notate: Plane F
Uppercase, Cursive, F
notate: plane HTB
Plane HTB
Notate: Coplanar Points V,W,X
Co-pl V,W,X
Notate: Non co-planar C, D, E, F
non co-pl C, D, E, F
Notate: Segment PQ
PQ
if PM+ MQ= PQ, M is (between, preceding) points P and Q
between
segments that have the same measure. slashes on figures denote this
congruent segments
the point halfway between the endpoints of a segment
midpoint
any segment, line, or plane that intersects a segment at its midpoint
segment bisector
Midpoint Formula on a Number Line
(x1+x2)/2
Midpoint formula in a coordinate plane
((x1+x2)/2, (y1+y2)/2)
The length of the segment between two endpoints
Distance between two points
Distance Formula on a Number Line
|x2-x1|
Distance Formula
SQUARE ROOT OF…
(x2-x1)^2+ (y2-y1)^2
A location, neither shape nor size
point
Is formed by 2 noncollinear rays that have a common endpoint
Angle
Decribe how to name an angle.
Three letters, vertex is ALWAYS in the middle. Can be named by number if given or vertex only if it is the only angle formed by the vertex
Sides of an angle
2 rays that make up an angle
Vertex
Common endpoint of an angle
Acute Angle
angle with a measure less than 90*
Right angle
Angle with measure of 90*
Angle with measure over 90, less than 180
Obtuse Angle
Straight angle
Angle with a measure of 180*
Congruent Angles
Angles with the same measure
Angle bisector
A ray that divides an angle into two congruent angles
Complementary Angles
Angles with measures that add up to 90*
Supplementary Angles
Angles with measures that add up to 180*
Adjacent Angles
Two angles that lie in the same plane and share a common vertex and a common side, but have NO common interior points
Linear pair
Two adjacent angles with a sum of 180*
Vertical Angles
two nonadjacent angles formed by two intersecting lines
Vertical Angles are (always, sometimes, never) congruent
always
Perpendicular Lines, Congruent Angles, and Congruent Segments (can, cannot) be assumed
Cannot
Polygon
Closed Figure in a plane that is formed by 3 or more line segments. No two sides are collinear
Vertex of a Polygon
Where two sides of the polygon meet
Convex Polygon
No line that contains a line of the polygon also contains an interior point of the polygon
Concave Polygon
If a line that DOES contain a side of the polygon also contains an interior point.
CAVES in.
Equilateral Polygon
Occurs if all sides are congruent
Equiangular Polygon
Occurs if all angles are congruent
Regular Polygon
Polygon that is
- equilateral
- equiangular
- convex
Irregular Polygon
Not a regular polygon
Polygon with 3 sides
Triangle
Polygon with 4 sides
Quadrilateral
Polygon with 5 sides
Pentagon
Polygon wth 6 sides
Hexagon
Polygon with 7 sides
Heptagon
Polygon with 8 sides
Octagon
Polygon with 9 sides
nonagon
Polygon with 10 sides
Decagon
Polygon with 12 sides
Dodecagon
Polygon with n sides
n-gon
Area of a triangle
(1/2)bh
Perimeter of a triangle
b+c+d
Perimeter of a square
4s
Area of a square
s^2
Perimeter of a rectangle
2l+2w
Area of a rectangle
lw
Circumference of a circle
2πr
Area of a circle
πr^2