show that if the diagonals of a quadrilateral bisect each other at right angles then it is a rhombus?
Asked by nandani agarwal | 29th Sep, 2010, 07:35: PM
consider quadrilateral ABCD with diagonals AC,BD bisecting at O at right angles.
in triangles AOD,AOB
angle AOB=angle AOD...each right angle given
similarly we can show
So all four sides are equal, hence the answer.
Answered by | 29th Sep, 2010, 09:23: PM
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