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**Sec. 3-3 Parallel and Perpendicular Lines**

Objective: To relate Parallel & Perpendicular Lines.

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**Th(3-9) If two lines are // to the same line, then they are // to each other.**

1 2 k 3 4 5 6 m 7 8 9 10 n 11 12

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**Th(3-9) If two lines are // to the same line, then they are // to each other.**

k 5 6 m 7 8 9 10 n 11 12

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**Th(3-10) In a plane, if 2 lines are perpendicular to the same line, then they are // to each other.**

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Th(3-11) In a plane, if a line is perpendicular to one of two parallel lines, then it is parallel to the other. t r s

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**Corresponding Angles are They are = 90 Alt. Int. s are **

Same-sided int. s are Supplementary They are both = 90 t r s

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**Example 1: Solve for x and then solve for each angle such that n // m.**

14 + 3(40) = 134 n 14 + 3x 5x - 66 m 14 + 3x = 5x -66 -3x x 14 = 2x – 66 80 = 2x 2 40 = x 5x – 66 5(40) – 66 134

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**Example 2: Find the m1 7x – 8 7(18) – 8 118 7x – 8 + 62 = 180**

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Angles and Parallel Lines

Angles and Parallel Lines

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