Construct a square with a straightedge and compass
Source: Austrian Mathematical Olympiad 2008 Problem 3
February 6, 2009
geometrygeometric transformationreflectiongeometry unsolved
Problem Statement
We are given a line with four successive points , , , , reading from left to right. Describe a straightedge and compass construction yielding a square such that lies on the line , on the line , on the line and on the line .