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CH 1/2 terms
definitions, postulates, and theoroms
| Term | Definition |
|---|---|
| congruent segments | segments if AB=BC then AB is congruent to BC |
| definition of midpoint | If B is the midpoint of AC, then AB is congruent to BC |
| segment bisector | if line l bisects ACM at B then B is the midpoint of AC and AB is congruent to BC |
| congruent angles | if A=B then A is congruent to B |
| vertical angles | if 1 and 2 are vertical angles and 3 and 4 are vertical angles |
| right angles | if S is a right angle then S=90 |
| linear angles | 1 and 2 are linear angles |
| complementary angles | If 1 and 2 are complementary angles, then 1 + 2=90 |
| Supplementary angles | If 1 and 2 are complementary angles, then 1 + 2=180 |
| angle bisector | if AY bisects XAY then XAY is congruent to YAZ |
| perpendicular lines | if AB is perpendicular to CD then they form right angles |
| perpendicular bisector | If EF is perpendicular to bisector of GH then GJ is congruent to JH and EJG is a right angle. |
| segment addition postulate | AB+BC=AC |
| angle addition postulate | AOB+BOC=AOC |
| linear pair postulate | if 1 and 2 are linear pairs then they are supplementary |
| Vertical angles theorem | If 1 and 2 are vertical angles then 1 and 2 are congruent |
| Congruent supplements theorem | if 1 and 3 are supplementary and 2 and 3 are supplementary then 1 and 2 are congruent |
| Congruent complements theorem | IF 1 and 2 are complementary and 3 and 2 are complementary then 1 and 3 are congruent |
| All right angles are congruent | If 1 and 2 are right angles then 1 and 2 are congruent |