olymmath

IGO 2016 E3

  • Elementary

Suppose that ABCDABCD is a convex quadrilateral with no parallel sides. Make a parallelogram on each two consecutive sides. Show that among these 44 new points, there is only one point inside the quadrilateral ABCDABCD .

by Morteza Saghafian

Dataset text AI-MO AoPS. Quoted with source.

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