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ABCD is a rhombus and p, …

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ABCD is a rhombus and p, q ,r and s are the mid-points of the sides AB,BC, CD and DA respectively . Show that the quadrilateral PQRS is a rhombus.
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Either the question will be ABCD is a rhombus and p, q ,r and s are the mid-points of the sides AB,BC, CD and DA respectively . Show that the quadrilateral PQRS is a rectangle. Either it will be ABCD is a rectangle and p, q ,r and s are the mid-points of the sides AB,BC, CD and DA respectively . Show that the quadrilateral PQRS is a rhombus.
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