Question

Given BA=DCCB=ADWhich postulate/theorem will be sufficient to prove ∆ABC= ∆CDB

Answer 1

We are given two triangles and we are told that

$\begin{gathered} BA=DC \\ CB=AD \end{gathered}$

since the triangle share side BD this means that the triangles have the same side length, therefore, congruency can be proved by SSS (Side Side Side).