Question

are these figures congruent? yes, because the corresponding angles are congruent and the corresponding sides are congruent. there is not enough information to determine congruence. no, because the corresponding angles are congruent but the corresponding sides are not.

Explanation:

To determine if figures are congruent, the definition of congruent figures is that corresponding angles and corresponding sides must both be congruent. The first option correctly states this. The second option is incorrect as we can determine (if the figures meet the congruence criteria). The third option is incorrect because congruent figures require both corresponding angles and sides to be congruent, and the reasoning here is flawed (saying "No" but the reasoning about sides is wrong if the figures actually have congruent sides and angles).

Answer:

A. Yes, because the corresponding angles are congruent and the corresponding sides are congruent.