Chapter 4.7, Problem 44SPR

To determine

The proof that triangle WXZ is congruent to triangle ZYW.

Answer to Problem 44SPR

  $\Delta WXZ\cong \Delta ZYW$

Explanation of Solution

Given:

Angle YWZ is congruent to angle XZW and angle YZW is congruent to XWZ.

The given figure is:

  

Calculation:

According to ASA Congruence Postulate, if two angles and the included side of one triangle is congruent to the two angles and the included side of second triangle, then the two triangles are congruent.

So,

  $\begin{array}{l}\overline{WZ}\cong \overline{ZW}\text{ (Reflexive Property of Congruence)}\\ So,\\ \Delta WXZ\cong \Delta ZYW\end{array}$