Question

Fan & Medal!
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?

Triangle ACD is similar to triangle ABD.

Triangle ACD is congruent to triangle ABD.

Segment AD is congruent to segment AC.

Segment AD is congruent to segment DC.

Answer 1

I think the first answer is the correct one. As ACD is similar to ABD then AC is congruent with AB

Answer 2

The last two options do not make sense so you can count those out.

Answer 3

I thought that same thing (: Just had to make sure. doing an exam ): Thank you sweetheart.