1. Chapter 2: Reasoning and Proof 2.7.1 Prove Angle Pair Relationships

2. Right Angles Congruence Theorem All right angles are congruent If  1 and  2 are right angles then  1   2 Given:  1 and  2 are right angles Prove:  1   2 Statements:Reasons: 1.  1 and  2 are right anglesGiven 2.m  1 = 90 ⁰, m  2 = 90 ⁰ Definition of right angles 3.m  1 = m  2 Transitive Property of Equality 4.  1   2 Definition of congruent angles

3. Congruent Supplements Theorem If two angles are supplementary to the same angle, then they are congruent. If  1 and  2 are supplementary and  2 and  3 are supplementary then  1   3 Given: Prove: Statements:Reasons: 1.  1 and  2 are supplementary Given  2 and  3 are supplementary 2.m  1 +m  2 = 180 Definition of Supplementary angles m  2 +m  3 = 180 3.m  1 +m  2 = m  2 +m  3 Transitive property of Equality 4.m  1 = m  3Subtraction Property of Equality 5.  1   3 Definition of Congruent Angles

4. Congruent Complements Theorem If two angles are complimentary to the same angle, then they are congruent. If then Given: Prove: Statements:Reasons:

5. Homework pp. 127 2 – 5, 7, 16 – 21, 38, 39