Question

what additional information would be needed to prove these triangles are congruent by asa? a) (overline{kt}congoverline{bc}) b) (angle bcongangle w) c) (angle ccongangle k) d) none of the above.

Explanation:

Step1: Recall ASA congruence criterion

ASA (Angle - Side - Angle) requires two pairs of congruent angles and the included side to be congruent.

Step2: Analyze given markings

We have one pair of congruent angles marked. We also have one pair of congruent sides marked. We need another pair of congruent angles where the given side is the included side for both triangles.

Step3: Check options

For ASA, we need the angles adjacent to the given congruent sides to be congruent. If $\angle B\cong\angle W$, along with the already - given congruent side and one angle, we can prove the triangles congruent by ASA.

Answer:

D. $\angle B\cong\angle W$