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Transcript
Geometry Prove Angle Pair Relationships Right Angle Congruence Theorem - All right angles are congruent Example 1 J Given: JK Prove: M KL, ML K L KL L K Congruent Supplements Theorem – If two angles are supplementary to the same angle( or to congruent angles) then they are congruent Congruent Complements Theorem – If two angles are complementary to the same angle (or to congruent angles), then they are congruent. Linear Pair PostulateIf two angles form a linear pair, then they are supplementary Vertical Angles Congruence Theorem – Vertical Angles are congruent. Example 2 Given: 1 and 2 are supplements 1 and 4 are supplements 0 m 2 = 45 Prove: m 1 2 3 4 = 45 0 Example 3 3 1 Given: 4 is a right angle Prove: 2 and 4 are supplementary 2 4 4