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The quadrilateral formed by joining the mid-points of the sides of a quadrilateral PQRS, taken in order, is a rectangle, if_______.

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PQRS is a rectangle

PQRS is a parallelogram

diagonals of PQRS are perpendicular

diagonals of PQRS are equal.

answer is C.

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Detailed Solution

Let the rectangle be ABCD,

We know that, Diagonals of rectangle are equal

∴ AC = BD

⇒ PQ = QR

∴ PQRS is a rhombus

Diagonals of a rhombus are perpendicular.

Hence, diagonals of PQRS are perpendicular.

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