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 Date: 2012-03-05 09:59:23Circles Incircle and excircles of a triangle Nine-point circle Centroid Triangle Homothetic center Isotomic conjugate Nagel point Bicentric quadrilateral Geometry Triangle geometry Quadrilaterals |
![USA Mathematical Talent Search Solutions to Problem[removed]www.usamts.org[removed]Let ABCD be a convex quadrilateral. Let M be the midpoint of diagonal AC and N be the midpoint of diagonal BD. Let O be the](https://www.pdfsearch.io/img/160bb22babefbe1e2fd037994f5cf39d.jpg "USA Mathematical Talent Search Solutions to Problem[removed]www.usamts.org[removed]Let ABCD be a convex quadrilateral. Let M be the midpoint of diagonal AC and N be the midpoint of diagonal BD. Let O be the")
![USA Mathematical Talent Search Solutions to Problem[removed]www.usamts.org[removed]In convex quadrilateral ABCD, AB = CD, ∠ABC = 77◦ , and ∠BCD = 150◦ . Let P be the intersection of the perpendicular bisectors of](https://www.pdfsearch.io/img/761eaaa547e82a5759fb2928bc5f099e.jpg "USA Mathematical Talent Search Solutions to Problem[removed]www.usamts.org[removed]In convex quadrilateral ABCD, AB = CD, ∠ABC = 77◦ , and ∠BCD = 150◦ . Let P be the intersection of the perpendicular bisectors of")