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3.3 Parallel and Perpendicular Lines To Relate Parallel and Perpendicular Lines.

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Presentation on theme: "3.3 Parallel and Perpendicular Lines To Relate Parallel and Perpendicular Lines."— Presentation transcript:

1 3.3 Parallel and Perpendicular Lines To Relate Parallel and Perpendicular Lines

2 Theorem 3.9

3 Proof #1 l || k Given k|| m Given l || m Transitive Property

4 Theorem 3-10

5 Proof #2 r is perpendicular to t Given s is perpendicular to t Given m<1 = m< 2 = 90 Definition of Perpendicular Lines <1 ≅ < 2 Definition of Congruent Angles r ||sConverse of Corresponding Angles

6 Theorem 3-11

7 Proof #3 a is perp. to b Given b||c Given m<1 = 90 Definition of Perpendicular Lines <1 ≅ <2 Corresponding Angles m<2 = 90 Definition of Congruent Angles (Equal Measures) a is perp. to c Definition of Perpendicular Lines


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