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Geometry unit 2 3rd
segment proofs and angle proofs
| Question | Answer |
|---|---|
| Definition of Midpoint | If M is the midpoint of AB then segment AB is congruent to segment MB or AM=MB |
| Segment Addition Postulate | If A, B, and C are collinear points and B is between A and C, then AB+BC=AC |
| Definition of right angle | An angle measures 90 if and only if it is a right angle. the measure of angle A = 90 thus angle A is also a right angle and vise versa |
| Definition of Complementary Angles | Two angles are Complementary if and only if the sum of their measures is 90 |
| Definition of an angle bisector | An angle bisector divides an angle into two equal parts |
| Definition of perpendicular | Perpendicular lines form right angles |
| Angle addition postulate | The measure of angle ABD + the measure of angle DBC = the measure of angle ABC |
| Vertical angles Theorem | If two angles are vertical, then they are congruent |
| Complement Theorem | If two angles form a right angle, then they are complementary |
| Linear pair Theorem (supplement theorem) | If two angles form a linear pair, then they are supplementary. |
| Congruent complements theorem | If two angles are complementary to the same angle, then they are congruent. |
| Congruent Supplements theorem | If two angles are supplementary to the same angle, then they are congruent. |