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Proving Statements about Angles
Section 2-6 Proving Statements about Angles
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Angle congruence is reflexive, symmetric, and transitive.
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Right angle congruence theorem
All right angles are congruent
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Congruent supplements theorem
If two angles are supplementary to the same angle (or congruent angles), then the two angles are congruent.
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By Congruent Supplements Thm!
2 1 3 By Congruent Supplements Thm!
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Congruent complements theorem
If two angles are complementary to the same angle (or congruent angles), then the two angles are congruent.
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By Congruent complements Thm!
5 6 4 By Congruent complements Thm!
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Linear pair postulate If two angles form a linear pair, then they are supplementary.
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Vertical angles theorem
Vertical angles are congruent
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2 4 3 1
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