alternate exterior angles are congruent Consecutive Interior Angles Theorem Converse If then two lines are cut by a transversal so the the lines are parallel. consecutive interior angles are supplementary Transitive Property of Parallel Lines If then two lines are parallel to they are parallel to each the same line, other. If a||b and b||c, then a||c. Show: Find the value of that makes 23 by the alternate exterior angles converse y a || b. Ex 1: Can you prove that lines and are parallel? Justify your answer. Ex 2: a b a. Yes, Alt. Ext. Conv b. Yes, Corr. Conv. c. No Prove that if are supplementary then || a b. Ex 3: Given: are supplementary
alternate exterior angles are congruent Consecutive Interior Angles Theorem Converse If two lines are cut by a transversal so the consecutive interior angles are supplementary then the lines are parallel. Transitive Property of Parallel Lines If two lines are parallel to the same line, then they are parallel to each other. If a||b and b||c, then a||c. Show: Ex 1: Find the value of y that makes a || b. 23 by the alternate exterior angles converse Ex 2: Can you prove that lines a and b are parallel? Justify your answer. a. Yes, Alt. Ext. Conv b. Yes, Corr. Conv. c. No Ex 3: Prove that if are supplementary then a || b. Given: are supplementary
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