Two chords AB and CD bisect each other at X. Show that this is not possible unless X is the center.

NO idea how to approach this one as well.

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- Jul 2nd 2010, 11:19 PMLukybearCircle Geometry: Trivial QUestion on Chords?
Two chords AB and CD bisect each other at X. Show that this is not possible unless X is the center.

NO idea how to approach this one as well. - Jul 3rd 2010, 04:46 AMsa-ri-ga-ma
Two chords AB and CD will be the diagonals of the cyclic quadrilateral ACBD. The diagonals will bisect each other only when the quadrialteral is recangle or square. And in both the cases diagonals pass through the center of the circle.