How can you prove that a constructed line is parallel to a given line?

Question

a.) show that same exterior angles are congruent b.)show that corresponding angles are congruent c.)show that same side interior angles are congruent d.) show that the transversal intersects both lines

Answer 1

I assume that you are given a pair of lines (one constructed and one given) and you are also given another line (a transversal) that intersects both of these lines.

The answer options given refer to a transversal between parallel lines. If corresponding angles are equal, that is, the transversal intersects both lines at the same measure of angle (the angles are congruent), then the lines must be parallel (answer b).