In this section, you learned how to construct a golden rectangle. See Figure 2.83. Consi...

In this section, you learned how to construct a golden rectangle. See Figure 2.83. Consider the following figure. In square WXYZ, with side lengths 1 unit, M is the midpoint of

a. Given that WX = 1 unit, find WM and MX.

b. Use the fact that ΔMXY is a right triangle to find MY. Leave your answer in radical form; that is, do not write it as a decimal. How are the lengths of related?

c. Find WP and verify that rectangle WPQZ is a golden rectangle.

d. Find XP and verify that rectangle XPQY is a golden rectangle.