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Geometry ProblemLevel: Mathematics Education, High School, Honors Geometry, College.Click the figure below to see the complete problem 952.
Connect IB, IC, IA . Let k=IE/IB=IF/IC=ID/IAG is circumcenter of tri(DEF)Consider hemothety transformation (center I, factor k)In this transformation Tri(DEF) => tri(ABC ) and G will become OSo I,G,O are collinear
G is the circumcenter of tri(DEF). dont u mean incenter?
No , G is the center of a circle pass through E, E and F.Peter Tran