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Question

# The quadrilateral formed by joining the midpoints of the sides of a quadrilateral ABCD, taken in order, is a rectangle, if (a) ABCD is a parallelogram (b) ABCD is a rectangle (c) diagonals of ABCD are equal (d) diagonals of ABCD are perpendicular to each other

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Solution

## ANSWER: Since, The quadrilateral formed by joining the mid-points of the sides of a parallelogram is parallelogram. The quadrilateral formed by joining the mid-points of the sides of a rectangle is rhombus. The quadrilateral formed by joining the mid-points of the sides of a quadrilateral with diagonals equal is rhombus. The quadrilateral formed by joining the mid-points of the sides of a quadrilateral with diagonals perpendicular to each other is rectangle. Hence, the correct option is (d).

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