Geometry/Trig Name: _________________________

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Angles and Parallel Lines
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Geometry/Trig Name: _________________________ PROVING Parallel Line Proofs Date: __________________________ n REASONS: A. If corresponding angles are congruent, then lines are parallel. B. If alternate interior angles are congruent, then lines are parallel. C. If alternate exterior angles are congruent, then lines are parallel. D. If same side interior angles are supplementary, then lines are parallel. E. If same side exterior angles are supplementary, then lines are parallel. l m 17 11 10 12 18 j 9 8 14 6 13 2 1 3 4 5 k 19 7 15 16 20 GIVEN Parallel Lines Reason Ex. mÐ7 = mÐ8 j // k A 1. mÐ8 = mÐ1 ___________ ___________ 2. mÐ9 + mÐ1 = 180° ___________ ___________ 3. mÐ11 = mÐ12 ___________ ___________ 1 2 9 10 1. Given: c // d; Ð1 @ Ð13 Prove: a // b 3 4 11 12 5 6 13 14 7 8 15 16 Statements Reasons c d

Parallel Line Proofs – Page 5 2. Given: AB // CD; Ð2 @ Ð6 Prove: BC // DE A D B 2 1 3 4 5 7 6 C E Statements Reasons 3. Given: BC // DE; Ð2 @ Ð6 Prove: AB // CD A D B 2 1 3 4 5 7 6 C E Statements Reasons

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