advertisement

Geometry 3.2/3.3 Notes Name ________________________ Parallel & Perpendicular Lines and Transversals Target Goal: Prove and use results about parallel lines and transversals. Corresponding Angles Postulate If 2 parallel lines are cut by a transversal, then corresponding angles are congruent. Thm 3.4 Alternate Interior Angle If 2 parallel lines are cut by a transversal, then alternate interior angles are congruent. Thm 3.5 Consecutive Interior Angles If 2 parallel lines are cut by a transversal, then consecutive interior angles are supp. Thm 3.6 Alternate Exterior Angles If 2 parallel lines are cut by a transversal, then alternate exterior angles are congruent. Thm 3.7 Perpendicular Transversal If a transversal is perpendicular to one of 2 parallel lines, then it is perpendicular to the other. Example 1 Given that m 5 60 , find each measure. Tell which postulate or theorem was used. a) m 4 = Example 2 b) m 1 = c) m 3 = Solve for x. a. b. c. d. d) m 8 = Example 3 Solve for x. a. Example 4 b. Solve for x and y.