A slightly unusual geometry problem
Source: Romania TST 2023 Day 1 P2
April 7, 2024
geometryreflectionpolygon
Problem Statement
A diagonal line of a (not necessarily convex) polygon with at least four sides is any line through two non-adjacent vertices of that polygon. Determine all polygons with at least four sides satisfying the following condition: The reflexion of each vertex in each diagonal line lies inside or on the boundary of the polygon.The Problem Selection Committee