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similar to Pascal's Theorem

Source: Mongolia MO 2001 Grade 10 P5

April 12, 2021
geometryhexagonprojective geometry

Problem Statement

Let A,B,C,D,E,FA,B,C,D,E,F be the midpoints of consecutive sides of a hexagon with parallel opposite sides. Prove that the points AB∩DEAB\cap DE, BC∩EFBC\cap EF, AC∩DFAC\cap DF lie on a line.
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