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Proving Statements about Angles

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Presentation on theme: "Proving Statements about Angles"— Presentation transcript:

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

2 Angle congruence is reflexive, symmetric, and transitive.

3 Right angle congruence theorem
All right angles are congruent

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

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

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

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

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

9 1 2

10 Vertical angles theorem
Vertical angles are congruent

11 2 4 3 1


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