Question: Let ABCD be a quadrilateral, let P be the intersection of AB and CD, and let O be the intersection of the perpendicular bisectors

Let ABCD be a quadrilateral, let P be the intersection of AB

Let ABCD be a quadrilateral, let P be the intersection of AB and CD, and let O be the intersection of the perpendicular bisectors of AB and CD. Let B' and D' be the reflections of B and D across OP. Show that if AB' and CD' meet on OP, then ABCD is cyclic.

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