Jillian is trying to construct a square. She has started by constructing two perpendicular lines, as shown at right. If she wants each side of the square to have length , as shown at right, describe how she should finish her construction.
How can you use and the axes to create this square?
Jillian should construct an arc centered at with a radius so that it intersects each once (call these intersections and ). She should then make two more circles with radius , centered at and . The fourth vertex lies where these two circles intersect.