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Angle Proofs
Properties of Equality & Properties of Congruence
| Term | Definition |
|---|---|
| Definition of Congruence | The measures of two angles are equal if and only if the angles are congruent. m<A=m<B ; m<A ≅ m<B |
| Definition of Complementary Angles | Two angles are complementary if and only if their measures add up to 90 degrees |
| Definition of an Angle Bisector | An angle bisector divides an angle into two equal parts. |
| Definition of a Right Angle | An angle measures 90 degrees if and only if it is a right angle |
| Definition of Supplementary Angles | Two angles are supplementary if and only if the sum of their measures adds up to 180 degrees |
| Definition of Perpendicular | Perpendicular Lines form Right Angles |
| Angle Addition Postulate | m<ABD + m <DBC = m<ABC |
| A Theorem | A nonreversible statement that has already been proven |
| A Definition | Something that can be reversed according to your problem. |
| 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 (Supplementary) | 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. |