Question

which triangle congruence theorem can be used to prove the triangles are congruent? sss aas sas asa

Explanation:

Step1: Analyze the given figure

In the figure, \(CB = CD\), \(BA = DA\), and \(CA\) is the common side.

Step2: Recall the SSS (Side - Side - Side) congruence theorem

The SSS congruence theorem states that if three sides of one triangle are equal to three sides of another triangle, then the two triangles are congruent.
Here, in \(\triangle CBA\) and \(\triangle CDA\), \(CB = CD\), \(BA = DA\), and \(CA=CA\) (common side).

Answer:

SSS