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The diagonals of a quadrilateral ABCD ar...

The diagonals of a quadrilateral ABCD are equal. Prove that the quardilateral formed by joining the midpoints of its sides is a rhombus.

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To prove that the quadrilateral formed by joining the midpoints of the sides of quadrilateral ABCD (where the diagonals AC and BD are equal) is a rhombus, we will follow these steps: ### Step-by-Step Solution: 1. **Draw Quadrilateral ABCD**: - Start by sketching quadrilateral ABCD with diagonals AC and BD intersecting at point O. - Label the midpoints of sides AB, BC, CD, and DA as P, Q, R, and S respectively. ...
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