Chapter 12.7, Problem 21E

To determine

Whether the friend is correct.

Answer to Problem 21E

Yes, the friend is correct.

Explanation of Solution

The given figure is a rectangle, therefore the diagonal of it form the hypotenuse of the two roght triangles formed. And,

  $\begin{array}{l}\angle XWY=\angle ZYW\\ \angle XYW=\angle ZWY\end{array}$

Thus, hypotenuse leg theorem can be used to conclude the congruency.

  $\Delta WZY\cong \Delta YXW$

Therefore, the friend is correct.