Prove that the perpendicular bisectors of the sides of a cyclic quadrilateral are concurrent
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Let OL, OM, ON and OP be the perpendicular bisectors of sides AB, BC, CD and AD respectively. Recall that perpendicular bisector of a line segment passes through the centre of the circle. Hence OL, OM, ON and OP pass through the centre. ... Thus the perpendicular bisectors of sides of cyclic quadrilateral are concurrent.
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