Exercise 2 Page 137

There are four theorems. Let's list all of them, highlighting the hypothesis and conclusion. Corresponding Angles Theorem If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent Alternate Interior Angles Theorem If two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruentAlternate Exterior Angles Theorem If two parallel lines are cut by a transversal, then the pairs of alternate exterior angles are congruent Consecutive Interior Angles Theorem If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles are supplementary The converse of a conditional statement, q→ p, exchanges the hypothesis and the conclusion of the conditional statement. Corresponding Angles Converse If two lines are cut by a transversal so that the corresponding angles are congruent, then the lines are parallel Alternate Interior Angles Converse If two lines are cut by a transversal so that the alternate interior angles are congruent, then the lines are parallel Alternate Exterior Angles Converse If two lines are cut by a transversal so that the alternate exterior angles are congruent, then the lines are parallel Consecutive Interior Angles Converse If two lines are cut by a transversal so that the consecutive interior angles, are supplementary then the lines are parallel All of these converses are true.