Question

In $\Delta ABC$ and $\Delta PQR$, $\angle A=\angle Q$ and $\angle B=\angle R$. which side of a $\Delta PQR$ should be equal to side AB of $\Delta ABC$, so that the two triangles are congruent? Give reason for your answer.

Answer 1

we have given in $\Delta ABC$ and $\Delta QRP,\angle A=\angle Q$ and $\angle B=\angle R$

Since, AB and QR are included between equal angles. Hence, the side of $\Delta QRP$ is QR which should be equal to side AB of $\Delta ABC$, so that the triangles are congruent by the rule ASA