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# 4_3 notes - Chapter 4 Section 3 Exploring Parallels and...

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Chapter 4 Section 3 Exploring Parallels and Perpendiculars Perpendicular bisector (p. 181) - A line, ray, or segment that intersects a given segment at and divides it in . Example: Slopes of parallel and perpendicular lines Parallel Lines Theorem: If two nonvertical lines are Converse: If the slopes of two nonvertical lines parallel, then their slopes are equal. are equal, then the lines are parallel. Example: Draw a diagram and write Given and Prove statements for the proof of each theorem. a. Parallel Lines Theorem b. Converse of Parallel Lines Theorem Perpendicular Lines Theorem: If two nonvertical lines are Converse: If the product of the slopes of two perpendicular, then the product of nonvertical lines is –1, then the lines are their slopes is –1. perpendicular. • All vertical lines are parallel. • A vertical line is perpendicular to every horizontal line. For Exercises 1 and 2, draw a diagram and write the Given and Prove statements for the proof of each theorem.

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