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

t 1 2 p 3 4 5 6 q 7 8

t p 3 4 5 6 q

t p 3 4 5 6 q

t 1 2 p q 7 8

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

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

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

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

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

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