The coordinates of rhombus are W (0, 4b), X (2a, 0), (0, -4b) and (-2a, 0)

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Midpoint formula : $\"\"$

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The midpoint is WX $\"\"$

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$\"\"$

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The midpoint is XY $\"\"$

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$\"\"$

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The midpoint is YZ $\"\"$

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$\"\"$

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The midpoint is ZX $\"\"$

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$\"\"$

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Draw the segments joining the midpoints of the rhombus.

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The segments joining the midpoints form a polygon.

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Inorder to prove this polygon is rectangle, prove diagonals are congruent

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Find the measure of the diagonals

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The distance between $\"\"$ and $\"\"$

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Distance formula $\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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The distance between $\"\"$ and $\"\"$

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Distance formula $\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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Since the diagonals have same measures, they congurent.