Problem

Source: Iran TST 2007, Day 2

Tags: geometry, geometric transformation, reflection, analytic geometry, geometry proposed



In an isosceles right-angled triangle shaped billiards table , a ball starts moving from one of the vertices adjacent to hypotenuse. When it reaches to one side then it will reflect its path. Prove that if we reach to a vertex then it is not the vertex at initial position By Sam Nariman