Question

Given that angle ADD and angle BIC are supplementary, and AD is congruent to CB, prove that triangle DAB is congruent to triangle CUB.

Answer 1

To prove triangle DAB is congruent to triangle CUB, we can use the Angle-Side-Angle (ASA) congruence criterion by establishing the congruence of the shared angle and the congruence of two sides.

Step-by-step explanation:

To prove that triangle DAB is congruent to triangle CUB, we can use the Angle-Side-Angle (ASA) congruence criterion. Given that angle ADD and angle BIC are supplementary (they add up to 180 degrees), it implies that angle DAB and angle CUB are congruent. Also, AD is congruent to CB. The shared side, AB, is also congruent. Therefore, by the ASA criterion, triangles DAB and CUB are congruent.