Question

Decide whether there is enough information to prove that r is parallel to s. If so, state the theorem you would use.

A. No, there is not enough information.
B. Yes. Alternate Interior Angles Converse
C. Yes. Alternate Exterior Angles Converse
D. Yes.Consecutive Interior Angles Converse
E. Yes. Corresponding Angles Converse

Answer 1

B. Yes. Alternate Interior Angles Converse

Explanation:

The two angles shown in the figure above are alternate interior angles. Each is located within the two parallel lines intersected by the transversal, and they also lie on opposite side of the transversal.

The marked alternate interior angles are congruent. Therefore, lines r and s are parallel. So, by the Alternate Interior Angles Converse, lines r and s are parallel.

Therefore, the right response to the question is:

"B. Yes. Alternate Interior Angles Converse".