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Theorem 9 If two parallel lines are cut (crossed) by a transversal, then their corresponding angles are congruent Theorem 10 If the two angles in a linear pair have equal measures (are congruent), then each is a right angle Theorem 11 If two parallel lines are cut (crossed) by a transversal, then their alternate exterior angles are congruent Theorem 12 If two parallel lines are cut (crossed) by a transversal, then interior angles on the same side of the transversal are supplementary Theorem 13 If two lines form congruent corresponding angles with a transversal, then the lines are parallel Theorem 14 If two lines form congruent alternate exterior angles with a transversal, then the lines are parallel Theorem 15 If two lines form supplementary interior angles on the same side of the transversal, then the lines are parallel