show that if the diagonals of a quadrilateral are equal and bisect each other at right angle , then it is a right angle?
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Let ABCD be a quadrilateral, whose diagonals AC and BD bisect each other at the right angle. So, we have, OA = OC, OB = OD, and ∠AOB = ∠BOC = ∠COD = ∠AOD = 90°. ... Since opposite sides of quadrilateral ABCD are equal, it can be said that ABCD is a parallelogram.
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