SarkariPYQ

SSC CGL 2024 PYQ — Question 69

SSC CGL - 09 Sep 2024 - Shift 2 • Quantitative Aptitude • Q69

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The points P and S are on the same side of the line segment QR, such that ∠\anglePQR = 90°, ∠\angleSRQ = 90°, and PQ = SR. Select the correct statement.

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Correct answer: D

Explanation

The correct answer is Option 4 i.e. △\bigtriangleupPQR ≅\cong△\bigtriangleupSRQ by SAS.

In ΔPQR and ΔSQR

⇒ PQ = RS  [sides of the triangle]

⇒ ∠PQR = ∠SRQ  [right angles]

⇒ QR = QR [common side]

So,

ΔPQR ≅\cong ΔSRQ by SAS