Question

Please Explain Why!

Which information is required to prove that angle ABD is congruent to angle ACD?

A.) Segment AC is congruent to segment AB.

B.) Segment AD is congruent to segment AC.

C.) Segment BD is congruent to segment AD.

D.) Segment AB is congruent to segment BD.

Answer 1

This looks like were trying to prove a pair of angles of an isosceles triangle are congruent.

To do that we need the fact that it's an isosceles triangle, which is AB=AC.

That's choice A.

None of the other choices make sense just by symmetry. AD=AC, nope the middle and the side, BD=AD, nope, AB=BD, nope.

choice A.

Answer 2

The answer is A :) Hope this helps