In the diagram, $PQ=QS$, $QR=ST$ and $\angle PQR = \angle QST = 90{}^\circ$. Name two congruen

Question

In the diagram, $PQ=QS$, $QR=ST$ and $\angle PQR = \angle QST = 90{}^\circ$. Name two congruent triangles and state the reason for their congruence. If $\angle TQS = 37{}^\circ$, find $\angle PRQ$.

Accepted Answer

$\text{(i)}\ \triangle PQR\equiv\triangle QST\text{ (SAS)}$ $\text{(ii)}\ 53^\circ$

Triangle Congruence Using SAS

Triangle Congruence Using SAS

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