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Geometry Vocabulary Chapter 1
Flash Cards of all the Vocab
18
Mathematics
9th Grade
12/08/2008

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Term
Theorem
Definition
A mathematical statement that can be proven
Term
Theorem 1
Definition
If two angles are right angles, then they are congruent.
Term
Theorem 2
Definition
If two angles are straight angles, then they are congruent
Term
Segment Bisector
Definition
If a point (etc.) divides a segment into two congruent segments:
-then it bisects the line
-then it is the midpoint
If a point bisects a segment, then it divides the segment into 2 congruent segments.
If a point is a midpoint of a segment, then it divides the segment into 2 congruent segments
If a point is the midpoint, then it bisects the segment.
Term
Angle Bisector
Definition
If a ray divides an angle into 2 congruent angles, then it bisects the angle
If a ray bisects an angle, then it divides the angle into 2 congruent angles
Term
Angle Trisector
Definition
If two rays divide an angle into 3 congruent angles, then they bisect the angle
If two rays bisect an angle, then they divide the angle into 3 congruent angles
Term
What we can assume about lines/angles/etc.
Definition
-straightness of lines
-collinearity of points
-betweenness of points
-relative positions of points
Term
What we cannot assume about lines/angles/etc.
Definition
-if the angle is a right angle
-congruent segments
-congruent angles
-relative size of segments/angles
Term
Congruent
Definition
If 2 angles or segments have the same measure, then they are congruent
If 2 angles or segments are congruent, then they have the same measure
Term
Straight angle
Definition
An angle that is 180∘
Term
Obtuse angle
Definition
An angle that is >90 and <180
Term
Acute angle
Definition
An angle that is >0 and <90

If an angle is acute then it's angle measure is greater than 0 and less than 90
If an angle measure is greater than 0 and less than 90, then it's an acute angle
Term
Right angle
Definition
If an angle's measure is exactly 90, then it is a right angle
If an angle is a right angle, then it's measure is exactly 90
Term
Angle
Definition
The union of 2 rays with a common endpoint
Rays are the sides of the angles
The endpoint is the vertex
Term
Ray
Definition
extends forever in one direction and has one endpoint
Endpoint is always named first
Term
Line/Line Segment
Definition
(Can't be defined)

<----------------------> = line
|----------------------| = line segment
Term
Point
Definition
(Can't be defined)
Term
Triangle
Definition
The union of 3 line segments
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