3-2 Proving Lines Parallel

# 3-2 Proving Lines Parallel - one of 2 parallel lines then...

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Proving Lines Parallel Section 3-5

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Converse of the Corresponding Angles Postulate (Post. 3-2) If 2 lines are cut by a transversal so that corresponding angles are congruent, then the lines are parallel. 60 60
Converses of the Alternate Interior Angle Thm and the Same-Side Interior Angles Thm (Thms 3-3,3-4) If 2 lines in a plane are cut by a transversal so that a pair of alternate interior angles is congruent, then the lines are parallel. If 2 lines in a plane are cut by a transversal so that a pair of same-side interior angles is supplementary, then the lines are parallel.

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Theorem 3-5 In a plane, if 2 lines are perpendicular to the same line, then they are parallel to each other.
Theorem 3-6 If a transversal is perpendicular to

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Unformatted text preview: one of 2 parallel lines, then it is perpendicular to the other one also. Theorem • 2 lines parallel to a 3 rd line are parallel to each other. Ways to Prove 2 Lines Parallel 1. Show that a pair of corresponding angles are congruent. 2. Show that a pair of alternate interior angles are congruent. 3. Show that a pair of same-side interior angles are supplementary. 5. In a plane, show that both lines are perpendicular to a 3 rd line. 6. Show that both lines are parallel to a 3 rd line. Joke Time How do you know when it’s raining cats and dogs? When you step in a poodle! Why did the apple go out with a fig? Because it couldn’t find a date...
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3-2 Proving Lines Parallel - one of 2 parallel lines then...

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