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How will you construct a rectangle PQRS if you know only the lengths PQ and QR?

Q1. How will you construct a rectangle PQRS if you know only the lengths PQ and QR?

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A rectangle is a special case of a parallelogram whose opposite sides are equal and all the angles are 90^{\circ}.

Therefore, we know all 4 sides and all 4 angles.

(Steps:

1. Draw PQ. Draw right angle at R and Q. Draw an arc of radius = QR = PS to get the points S and R.

3. Join S to R. PQRS is the required rectangle.)

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