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Quad in quad (Posted on 2020-11-20) Difficulty: 3 of 5
Let M be the incenter of the tangential quadrilateral A1A2A3A4. Let line g1 through A1 be perpendicular to A1M; define g2,g3 and g4 similarly. The lines g1,g2,g3 and g4 define another quadrilateral B1B2B3B4 having B1 be the intersection of g1 and g2; similarly B2,B3 and B4 are intersections of g2 and g3, g3 and g4, resp. g4 and g1. Prove that the diagonals of quadrilateral B1B2B3B4 intersect in point M.

No Solution Yet Submitted by Danish Ahmed Khan    
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