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TOT 075 1984 Autumn Train S1 equal areas in hexagon with a few //

Source:

August 24, 2019
hexagonequal areasareasparallelgeometry

Problem Statement

In convex hexagon ABCDEF,ABABCDEF, AB is parallel to CF,CDCF, CD is parallel to BEBE and EFEF is parallel to ADAD. Prove that the areas of triangles ACEACE and BDFBDF are equal .