Now that we know that the construction of WXZY
is a square, **how does square WXYZ relate to the original square
ABCD?**

One way to investigate this relationship is to look at the ratio of the areas of the squares.

The area of WXYZ varies because the distance between point B and point 1 varies. The following figures are found by changing the distance of point B and point 1 in a one-fourth interval.

Notice as the interval of [B,1] increases within the original square ABCD, the area of the square WXYZ decreases (i.e. the Area of Square WXYZ approaches zero). When the interval [B,1] decreases, the Area of Square WXYZ aprroaches the Area of Square ABCD.

Let's use the position of point 1 (in relation to point B) and the ratio of the areas WXYZ:ABCD as the (x,y) coordinates of a graph that relates this relationship.

**Further investigation:**