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i just used process of elimination
you know that BD is congruent to itself because of reflexive so that takes out B and D
A should be the answer.....
and then the proof always comes last on the 2 column proof
As BD is common and the given equal sides and angles are given, So, SAS
Correct. A is the correct answer.
The figure shows sides AB and CB congruent.
The figure also shows angles ABD and CBD congruent.
You already have SA.
Side BD is congruent to itself by reflexive.
That gives you SAS and triangles ABD and CBD are congruent.
Then by CPCTC, sides AD and CD are congruent.
That is what choice A. states, and that is the correct proof for this problem.