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Home > GC > Chapter 9 > Lesson 9.2.4 > Problem 9-90

9-90.

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 below, describe how she should finish her construction.  

Two perpendicular lines labeled, n, the vertical line, and, m, the horizontal line, intersect at point, P. A vertical line segment, k, is shown at the left.

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.