Chapter 3.1, Problem 58SPR

To determine

To prove $\overline{WA}\cong \overline{ZA}$ .

Explanation of Solution

Given information:

  $\overline{WY}\cong \overline{ZX}$

A is the midpoint of line WY.

A is the midpoint of line ZX.

  

As A is the mid-point hence we can say that,

  $\begin{array}{l}\overline{ZA}\cong \overline{AX}\\ \overline{WA}\cong \overline{AY}\end{array}$

Here we know that $\overline{WY}\cong \overline{ZX}$

Therefore we get,

  $\overline{ZA}\cong \overline{AX}\cong \overline{WA}\cong \overline{AY}$

Hence we may say that $\overline{WA}\cong \overline{ZA}$

Hence proved.