Q4 of 56 Page 73

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


Since, 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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