An isosceles right-angled billiards table
Source: Iran TST 2007, Day 2
May 7, 2007
geometrygeometric transformationreflectionanalytic geometrygeometry proposed
Problem Statement
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