Question

determine which postulate or theorem can be used to prove that △abc≅△dcb.
a. sss
b. asa
c. sas
d. aas

Explanation:

Step1: Identify equal - sides

We see that $AB = DC$, $AC = DB$, and $BC$ is common to both $\triangle ABC$ and $\triangle DCB$.

Step2: Recall congruence postulates

The SSS (Side - Side - Side) postulate states that if three sides of one triangle are congruent to three sides of another triangle, then the two triangles are congruent. Here, we have three pairs of equal sides.

Answer:

A. SSS