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

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

A.

ΔPQR ≅ ΔSRQ by RHS

B.

ΔPQR ≅ ΔSQR by SAS

C.

ΔPQR ≅ ΔSQR by RHS

D.

ΔPQR ≅ ΔSRQ by SAS

Correct option is D

Given:
∠PQR = 90°
∠SRQ = 90°
PQ = SR
Points P and S are on the same side of the line segment QR.
Concept Used:  
SAS (Side -Angle-Side) Property:
According to this rule, if the two side and angle between them of a triangle are respectively equal to the two sides and angle of another triangle, then the two triangles are congruent. 
Solution: 

In PQRandSRQ\triangle PQR \quad \text{and}\quad \triangle SRQ 
∠PQR = ∠SRQ = 90°
PQ = SR
QR = QR ( common) 
Two side and angle between them is equal 
then, PQRSRQ\triangle PQR \quad \cong\quad \triangle SRQ , by SAS congruency

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