Proving Statements about Angles

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Presentation transcript:

Proving Statements about Angles Section 2-6 Proving Statements about Angles

Angle congruence is reflexive, symmetric, and transitive.

Right angle congruence theorem All right angles are congruent

Congruent supplements theorem If two angles are supplementary to the same angle (or congruent angles), then the two angles are congruent.

By Congruent Supplements Thm! 2 1 3 By Congruent Supplements Thm!

Congruent complements theorem If two angles are complementary to the same angle (or congruent angles), then the two angles are congruent.

By Congruent complements Thm! 5 6 4 By Congruent complements Thm!

Linear pair postulate If two angles form a linear pair, then they are supplementary.

1 2

Vertical angles theorem Vertical angles are congruent

2 4 3 1