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Module 14: Lesson 2 Transversals and Parallel Lines

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1 Module 14: Lesson 2 Transversals and Parallel Lines
A line that intersects 2 coplanar lines at 2 different points. 1 2 p 3 4 5 6 q 7 8

2 t 1 2 p 3 4 5 6 q 7 8

3 t p 3 4 5 6 q

4 t p 3 4 5 6 q

5 t 1 2 p q 7 8

6 Same-Side Interior Angles Postulate
If 2 parallel lines are cut by a transversal, then pairs of same-side interior angles are supplementary. t p 3 4 5 6 q

7 Alternate Interior Angles Theorem
If 2 parallel lines are cut by a transversal, then pairs of alternate interior angles are congruent…or have the same measure. t p 3 4 5 6 q

8 Corresponding Angles Theorem
If 2 parallel lines are cut by a transversal, then pairs of corresponding angles are congruent…or have the same measure. t 1 2 p 3 4 5 6 q 7 8

9 Alternate Exterior Angles Theorem
If 2 parallel lines are cut by a transversal, then pairs of alternate exterior angles are congruent…or have the same measure. t 1 2 p q 7 8

10 Statement Reason p װ q Given
Proof of the alternate interior angles theorem 1 2 p 3 4 Statement Reason p װ q Given 5 6 q 7 8

11 Homework pages 694-697 #1-20 (all)


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