Question

Use a paragraph proof to prove the converse of the corresponding angles postulate.
Given: Corresponding angles are congruent
prove:AB||CD

Answer 1

Okay so angles 7 and 3 are congruent and so are 6 and 2, because the given statement that corresponding angles are congruent. Angles 1 and 3 are also congruent because verticle angles are congruent. Using substitution then, Angle 1 is congruent to angle 7. And because angle 1 and 7 are alternate exterior angles, that makes line AB parallel to CD.