MathDB

Reflecting on the sides of a convex polygon

Source: Kürschák 2014, problem 3

October 10, 2014

geometrygeometric transformationreflectionperimeter

Problem Statement

Let

K

be a closed convex polygonal region, and let

X

be a point in the plane of

K

. Show that there exists a finite sequence of reflections in the sides of

K

, such that

K

contains the image of

X

after these reflections.