Specialist Mathematics · Unit 2 · Circle and geometric proofs · Geometric proofs using vectors

Prove the diagonals of a parallelogram meet at right angles if and only if it is a rhombus.

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Prove midpoints of the sides of a quadrilateral join to form a parallelogram.
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Prove the sum of the squares of the lengths of a parallelogram’s diagonals is equal to the sum of the squares of the lengths of the sides.
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