9146Cyclic quadrilateral problem
- Jan 28, 2004Please help me with the following problem (I need it as
Given a cyclic quadrilateral ABCD with the circumcenter
O. The perpendicular to BD through B meets the
perpendicular to AC through C at E. The perpendicular
to BD through D meets the perpendicular to AC through A
at F. Finally, let X be the intersection of the lines
AB and CD. Then, the points O, E, F, X are collinear.
Well, it is easy to show that O is the midpoint of EF;
hence, O, E, F are collinear, but how about X ?
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