Question

In $\Delta PQR$ and $\Delta SQR$, $\overline{PQ}$ =$\overline{SR}$ and $\angle PQR=\angle QRS$ then:

• A. $\Delta PQR\sim \Delta SRQ$
• B. $\Delta PQR\equiv \Delta SRQ$
• C. $\Delta PQR=\Delta SRQ$
• D. None of these

Answer 1

Answer: (A)

$\Delta PQR\sim \Delta SRQ$

In $\Delta PQR$ and $\Delta SQR$, $\overline{PQ}$ =$\overline{SR}$

and $\angle PQR=\angle QRS$

So by,$PQ=RS$

=>$\angle PQR=\angle QRS$

=>$QR=QR$ [common]

$\Delta PQR\sim \Delta SRQ$