Question

A B C D is a rhombus and P, Q, R ands are the mid point of the side AB, BC, CD and DA respectively. show that the quadrilateral PQRS is a rhombus.
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Answer 1

Step-by-step explanation:

R and S are the mid-points of CD and AD respectively. Since in quadrilateral PQRS, one pair of opposite sides is equal and parallel to each other, it is a parallelogram. ... Clearly, PQRS is a parallelogram having one of its interior angles as 90°. Hence, PQRS is a rectangle.

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