3. In the given figure, APQR and ASQR are rightangled at Pand S respec

1.	3. In the given figure, APQR and ASQR are rightangled at Pand S respectively. Prove that PR-QS.
Answer» In 🔺PQR and 🔺SQR Then PQ=RS (given) QR =QR (comman side and Diagonal) Then RHS 🔺 PQR is congruent 🔺SQR in ∆ PQR and ∆ SQRangle RPQ = angle QSR ( 90°)PQ = SR ( given) QR = QR ( common)By RHS rule ∆ PQR and ∆ SQR are congurent.So, by CPCT PR = SQ

3. In the given figure, APQR and ASQR are rightangled at Pand S respectively. Prove that PR-QS.

Answer»

In 🔺PQR and 🔺SQR

Then PQ=RS (given) QR =QR (comman side and Diagonal) Then RHS 🔺 PQR is congruent 🔺SQR

in ∆ PQR and ∆ SQRangle RPQ = angle QSR ( 90°)PQ = SR ( given) QR = QR ( common)By RHS rule ∆ PQR and ∆ SQR are congurent.So, by CPCT PR = SQ