Term
|
Definition
| A mathematical statement that can be proven |
|
|
Term
|
Definition
| If two angles are right angles, then they are congruent. |
|
|
Term
|
Definition
| If two angles are straight angles, then they are congruent |
|
|
Term
|
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
|
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
|
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
|
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
|
Definition
|
|
Term
|
Definition
| An angle that is >90 and <180 |
|
|
Term
|
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
|
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
|
Definition
The union of 2 rays with a common endpoint
Rays are the sides of the angles
The endpoint is the vertex |
|
|
Term
|
Definition
extends forever in one direction and has one endpoint
Endpoint is always named first |
|
|
Term
|
Definition
(Can't be defined)
<----------------------> = line
|----------------------| = line segment |
|
|
Term
|
Definition
|
|
Term
|
Definition
| The union of 3 line segments |
|
|
