Question

Without drawing exact triangles, state, giving reasons, whether the given pairs of triangle are congruent or not :

$\Delta PQRand\Delta SQR;PQ=SRand\angle PQR=\angle SQR$.

Answer 1

In $△$ PQR and SQR,

$PQ=SR$ (Given)

$\angle PQR=\angle SQR$ (Given)

$QR=QR$ (Common)

Hence, $△PQR\cong △SQR$ (SAS postulate)