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2023 Bundeswettbewerb Mathematik

Source: Bundeswettbewerb Mathematik 2023 Round 1 P3

March 8, 2023
bundeswettbewerbgeometry

Problem Statement

Given two parallelograms ABCDABCD and AECFAECF with common diagonal ACAC, where EE and FF lie inside parallelogram ABCDABCD. Show: The circumcircles of the triangles AEBAEB, BFCBFC, CEDCED and DFADFA have one point in common.
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