Question

It is to be established by $RHS$ congruence rule that $△ABC\cong △RPQ$. What additional information is needed, if it is given that $\angle B=\angle P={90}^o$ and $AB=RP$?

Answer 1

For two right angle triangles to be congruent, we need to show two corresponding parameters as equal, with one of them as side for sure.
$\begin{array}{c}Since,\Delta ABC\cong \Delta RPQ\\ andAB=RP\\ Anyoneoftheseconditionsisrequired:\\ AC=RQ\\ BC=PQ\\ \angle BAC=\angle PRQ\\ and\angle ACB=\angle RQP\end{array}$