Prove that the sides opposite the congruent base angles of a triangle are congruent. Be sure to create and name the appropriate geometric figures.

Question

anonymous · Answer

You don't have to solve it, just please walk me through on how to solve it.

anonymous · Answer

@sammixboo Can you help?

anonymous · Answer

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I imagine something like this. I have no idea on how to solve it though.

anonymous · Answer

@ranga 
Could you please help?

anonymous · Answer

From my graph, 
AB is an angle bisector of angle BAC
Angle ABC = ACB this is given.
AB=AB Congruence of segments is reflexive.
So by AAS, triangles ABD and ACD are congruent. 
So side AB is congruent to side AC

anonymous · Answer

Thank you so much!!! :D