Question
In $\triangle\text{ABC}$ and $\triangle\text{PQR},\angle\text{A}=\angle\text{Q}$ and $\angle\text{B}=\angle\text{R}.$ Which side of $\triangle\text{PQR}$ should be equal to side $AB$ of $\triangle\text{ABC},$ so that the two triangles are congruent? Give reason for your answer.

Answer

In triangle $ABC$ and $PQR,$
we have $\angle\text{A}=\angle\text{Q}$
$\angle\text{B}=\angle\text{R}$ For the triangle to be congruent,
we must $AB = QR.$ They will be congruent by $ASA$ rule.
$ BC = RP$ They will be congruent by $AAS$ congruence rule.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free