Question

In $△ABC$ and $△PQR$, $\angle A=\angle Q$ and $\angle B=\angle R.$ Which side of $△PQR$ should be equal to side $BC$ of $△ABC$ so that the two triangles are congruent?

• A. $QR$
• B. $PQ$
• C. $RP$
• D. Any side of $△PQR$

Answer 1

The correct option is C $RP$

Given, $\angle A=\angle Q$, $\angle B=\angle R$
Side $BC$ lies opposite to $\angle A$
and, Side $RP$ lies opposite to $\angle Q$
Hence, $BC$ should be equal to $RP$ as they are the corresponding sides.

The two triangles to be congruent by $AAS$ rule.