Online Geometry Problems

Online Geometry Problem 806: Triangle, Points on sides or Extension, Circle, Circumcenters, Similar triangles. Level: High School, SAT Prep, College, Mathematics Education

The figure below shows a triangle ABC with points D, E, and F on AB or extension, BC or extension, and AC or extension, respectively. A', B', and C' are the circumcenters of triangles ADF, BDE, and CEF, respectively. Prove that triangles A'B'C' and ABC are similar. This entry contributed by Ajit Athle.

Triangle, Circumcenters, Similarity


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