Question

In the figure, it is given that AB = CD and AD = BC. Prove that triangles ADC and CBA are congruent.

Answer 1

In triangles $ADC$ and $CBA$, we have

$AB=CD$ ......... (given);

$AD=BC$ ......... (given);

$AC=AC$ ......... (common side).

By $\text{S.S.S}$ congruency condition,

$△ADC\cong △CBA$ $\left[henceproved\right]$