| Term | Definition |
|---|
| If a point bisects a segment, ray or line | then it divides the segment, ray or line into two equal parts |
| If a point is the midpoint of a segment, ray, or line | then it divides the segment, ray, or line into two congruent segments |
| If two points trisect a segment, ray or line | then they divide the segment into three equal parts |
| If a ray bisects an angle | then it divides the angle into two equal parts |
| If a ray trisects an angle | then it divides the angle into three equal parts |
| If lines, rays, or segments are perpendicular | then they form right angles |
| If lines, rays, or segments form right angles | then they are perpendicular |
| If two angles form a right angle | then they are complementary |
| If two angles are complementary | then they form a right angle |
| If two angles form a straight angle | then they are supplementary |
| If two angles are supplementary | then they form a straight angle |
| If two angles are supplementary to the same angle | then they are congruent |
| If two angles are supplementary to congruent angles | then they are congruent |
| If two angles are complementary to the same angle | then they are congruent |
| If two angles are complementary to congruent angles | then they are congruent |
| If a segement or angle is added to congruent segments or angles | then their sums are congruent |
| If congruent segments or angles are added to congruent segments or angles | then their sums are congruent |
| If a segment or angle is subtracted from congruent segments or angles | then their differences are congruent |
| If congruent segments or angles are subtracted from congruent segments or angles | then their differences are congruent |
| If segments or angles are congruent (x) | then their like multiples are congruent |
| If segments or angles are congruent (/) | then their like divisions are congruent |
| Vertical angles | are congruent |
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