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any convex quadrilateral can be divided into 5 polygons with symmetry axes

Source: Sharygin Geometry Olympiad 2015 Final 8.4

August 1, 2018
geometryconvex quadrilateralpartitioncutting the paper

Problem Statement

Prove that an arbitrary convex quadrilateral can be divided into five polygons having symmetry axes.
(N. Belukhov)