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Published byNorma Anis Jordan Modified over 4 years ago

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Lesson 2.6 p. 109 Proving Statements about Angles Goal: to begin two-column proofs about congruent angles

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Properties of Angle Congruence Theorem 2.2 Reflexive: Transitive : Symmetric:

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Two-Column Proof Using Transitive Property Given:Prove: Statements Reasons 8 4 1 7 3 2 6 5

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Theorem 2.3 Right Angle Congruence Theorem All right angles are congruent.

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Theorem 2.4 Congruent Supplements Theorem If two angles are supplementary to the same angle (or to congruent angles), then they are congruent. 1 3 2

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Theorem 2.5 Congruent Complements Theorem If two angles are complementary to the same angle (or to congruent angles), then they are congruent. 4 56

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Theorem 2.6 Vertical Angles Theorem Vertical angles are congruent. 1 4 3 2

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Postulate 12 Linear Pair Postulate If two angles form a linear pair, then they are supplementary. 12

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Given: Prove: Statements Reasons 1 3 2

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Definitions you should know! Perpendicular lines Right angle Supplementary angles Complementary angles Segment bisector Angle bisector Linear pair Vertical angles Also, review Segment Addition Postulate & Angle Addition Postulate

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