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ABCD is a rectangle and P, Q, R and S a...

ABCD is a rectangle and P, Q, R and S are mid-points of the sides AB, BC, CD and DA respectively. Show that the quadrilateral PQRS is a rhombus.

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To show that the quadrilateral PQRS is a rhombus, we will follow these steps: ### Step 1: Identify the midpoints Let ABCD be a rectangle. We identify the midpoints of the sides: - P is the midpoint of AB - Q is the midpoint of BC - R is the midpoint of CD - S is the midpoint of DA ...
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