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Name Class 3-3 Puzzle: Cross-Number Proving Lines Parallel Find the value of x for which m || n. Write your answer in the cross-number puzzle at the right. Each digit and decimal point of your answer goes in its own box. Across Down Pearson Texas Geometry Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved. Date Name Class Date Special angle pairs result when a set of parallel lines is intersected by a transversal. The converses of the theorems and postulates in Lesson 3-2 can be used to prove that lines are parallel. Postulate 3-2: Converse of Corresponding Angles Postulate If 1 5 , then a || b. Theorem 3-4: Converse of the Alternate Interior Angles Theorem If 3 6 , then a || b. Theorem 3-5: Converse of the Same-Side Interior Angles Theorem If 3 is supplementary to 5, then a || b. Theorem 3-6: Converse of the Alternate Exterior Angles Theorem If 2 7 , then a || b. For what value of x is b || c? The given angles are alternate exterior angles. If they are congruent, then b || c. 2x − 22 = 118 2x = 140 x = 70 Exercises Which lines or line segments are parallel? Justify your answers. 1. 2. 3.