Question

In the figure below, segment AC is congruent to segment AB:

Triangle ABC with a segment joining vertex A to point D on side BC. Side AB is congruent to side AC

Which statement is used to prove that angle ABD is congruent to angle ACD?

Answer 1

the answer is A. segment AD bisects angle CAB. I just took the exam and I got it right. hope this helps!

Answer 2

Answer: Isosceles  triangle theorem

Step-by-step explanation:

In the given picture, there a triangle whose two sides are equal AB=AC.

Therefore it is an isosceles triangle.

Now, the isosceles theorem says that the angles opposite to the equal sides of a triangle are equal.

Therefore by isosceles triangle theorem in ΔABC we have

$\angle{B}=\angle{C}$

Since $\angle{ACD}=\angle{C}$ [Reflexive]

$\angle{ABD}=\angle{B}$ [Reflexive]

Therefore, $\angle{ACD}=\angle{ABD}=$