Geometry Vocb. Flashcards
The 3 undefined terms
Point, line, plane
To determine a line
2 points
Collinear points
2 or more points on the same line
Coplanar points
Points in the same plane
Line segment
2 points on a line and all points in between
Endpoints
Points at the end of a segment or a ray
Congruent
Figures that have the same size and measure
Midpoint
The point that divides a segment into 2 congruent segments
Ray
Part of a line with 1 endpoint. Always name from point
To determine a plane
3 points to determine a plane
Point, line, plane
The 3 undefined terms
2 points
To determine a line
2 or more points on the same line
Collinear points
2 points on a line and all points in between
Line segment
Points at the end of a segment or a ray
Endpoints
Figures that have the same size and measure
Congruent
The point that divides a segment into 2 congruent segments
Midpoint
Part of a line with 1 endpoint. Always name from endpoint
Ray
3 points
To determine a plane
Center
A circle is a set of points equidistant from a given point called the center
Radius
A radius is a segment joining the center of a circle and a point on the circle
Chord
A chord is a segment joining two points on a circle
Diameter
If the chord passes through the center of the circle, then the chord is called a diameter
Arc
Two points on a circle and the part of the circle between them form an arc
Semi-circle
If the points are at the ends of the diameter, the arc is called a semi-circle
Circumference
The distances around a circle is called the circumference of the circle
A _______ is a segment joining the center of a circle and a point on the circle.
Radius
A_______ is a segment joining two points on a circle.
Chord
If the chord passes through the center of the circle, then the chord is called a ______.
Diameter
Two points on a circle and the part of the circle between them form an ___.
Arc
If the points at the ends of diameter, the arc is called a __________.
Semi-Circle
The distance around a circle is called the ____________ of the circle.
Circumference
An angle is formed by 2 rays with a common endpoint. The common in point is called a ______.
Vertex
Vertex
An angle is formed by 2 rays with a common endpoint. The common in point is called a ______.
Acute Angle
Measures between 0º and 90º
Right Angle
90º angle
Obtuse Angle
Between 90º and 180º
Straight Angle
180º angle
Measures between 0º and 90º
Acute Angle
90º angle
Right Angle
Between 90º and 180º
Obtuse Angle
180º angle
Straight Angle
Two angles that have a common vertex but do not “overlap” are called _______________.
Adjacent Angles
Adjacent Angles
Two angles that have a common vertex but do not “overlap” are called _______________.
If two lines intersect to form four congruent angles, the lines are _____________. Each of the congruent angles is a right angle (90º).
Perpendicular
Perpendicular
If two lines intersect to form four congruent angles, the lines are _____________. Each of the congruent angles is a right angle (90º).
Two angles whose measure have a sum of 90º are called?
Complementary Angles
Complementary Angles
Two angles whose measures have a sum of 90º.
Two angles whose measures have a sum of 180º are called?
Supplementary Angles
Supplementary Angles
Two angles whose measures have a sum of 180º.
Are vertical angles congruent?
Yes, because they are the same size and measure.
Transversal Line
Line that intersects with 2 or more lines.
Line that intersects with 2 or more lines?
Transversal Line.
Vertex (triangle)
Point where the sides of a polygon intersect.
180º-Why is this number important?
All sides of a triangle add up to 180º.
Point where the sides of a polygon intersect?
Vertex
Acute
3 acute angles
Right
1 right angel, 2 acute angles.
Obtuse
1 obtuse angle, 2 acute angles.
3 acute angles?
Acute
1 right angle, 2 acute angles?
Rigth
1 obtuse angle, 2 acute angles?
Obtuse
Scalene
No sides are equal
Isosceles
2 sides are equal
Equilateral
All sides are equal
No sides are equal
Scalene
2 sides are equal
Isosceles
All sides are equal
Equilateral
Quadrilateral
Polygon with 4 sides, sum of angles=360º
Square
Rectangle with 4 congruent sides
Rectangle
Quadrilateral, 4 right angles, opposite sides are equal.
Rhombus
Parallelogram where all sides are congruent.
Trapezoid
1 set of parallel sides
Polygon with 4 sides, sum of angles=360º
Quadrilateral
Rectangle with 4 congruent sides
Square
Quadrilateral, 4 right angles, opposite sides are equal.
Rectangle
Parallelogram where all sides are congruent
Rhombus
1 set of parallel sides
Trapezoid
Formula for the Area of a Square
A=lw or A=s squared
Formula for the Area of a Rectangle
A=lw
Formula for the Area of a Rhombus
A=bh
Formula for the Area of a Parallelogram
A=bh
Formula for the Area of a Trapezoid
A=1/2(b one+ b two)h
Formula for the Area of a Triangle
A=1/2bh
Formula for the Circumference of a Circle
C=πr squared or C=πd
Polygon
- Closed figure.
- 3 or more SEGMENTS.
- Only 2 segments at a vertex.
Regular
All sides and angles are equal.
Triangle
3 sides
Quadrilateral
4 sides
Pentagon
5 sides
Hexagon
6 sides
Heptagon
7 sides
Octagon
8 sides
Nonagon
9 sides
Decagon
10 sides
Dodecagorn
12 sides
- Closed figure.
- 3 or more SEGMENTS.
- Only 2 segments at a vertex.
Polygon
All sides and angles are equal
Regular
3 sides
Triangle
4 sides
Quadrilateral
5 sides
Pentagon
6 sides
Hexagon
7 sides
Heptagon
8 sides
Octagon
9 sides
Nonagon
10 sides
Decagon
12 sides
Dodecagon