Question

In the figures shown, angle BAC is congruent to angle DAC and angle ACB is congruent to angle ACD. Prove that line segment AB is congruent to line segment AD. (HINT: first show that triangle ABC is congruent to triangle ADC.

Answer 1

ASA (Angle-Side-Angle): If two pairs of angles of two triangles are equal in measurement, and the included sides are equal in length, then the triangles are congruent.
1. Triangles BAC and DAC have the same side, AC, so they have 2 congruent angles and the side, so they are congruent.
2. Congruent triangles have congruent all sides.

Answer 2

I have to answer this question in statement and reason format

Answer 3

I gave you general idea and you can put it in nedded format.