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Write a proof.

1. Prove: If the diagonals of a parallelogram are perpendicular, then the parallelogram is a rhombus.
2. Prove: If the diagonals of a parallelogram are congruent, then parallelogram is a rectangle.

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Take a look here:

http://www.algebra.com/algebra/homework/Geometry-proofs/Geometry_proofs.faq.question.392003.html
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