show that quadilateral ABCD is a rombus if A(-1, 2) B(-5-6) C(3, -2) D(7, 6)
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Show that if the diagonals of a quadrilateral bisect each other at right angles, then it is a rhombus. Sol: We have a quadrilateral ABCD such that the diagonals AC and BD bisect each other at right angles at O. Their corresponding parts are equal. Thus, the quadrilateral ABCD is a rhombus.
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