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Question

In a quadrilateral PQRS, PQ = RS and QR = SP and one angle between two adjacent sides is 90°.

The quadrilateral is definitely a


A

Square

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B

Rectangle

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C

Rhombus

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D

Trapezium

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Solution

The correct option is B

Rectangle


In quadrilateral PQRS, it is given that PQ = RS and QR = SP.

∴ PQRS is a parallelogram.

[In quadrilateral, if opposite sides are equal and parallel, then the quadrilateral is a parallelogram]

It is also given that in PQRS, one angle between two adjacent sides is 90°.

∴ PQRS is a parallelogram.

[Parallelogram where one of the angle between two adjacent sides is 90° is a rectangle]


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