Chapter 1.5, Problem 13PSA

To determine

To Prove: $Y\text{is the midpoint of }\overline{XZ}$ .

Explanation of Solution

Given:

  

  $\overline{XY}\cong \overline{YZ}$

Concept Used:

Midpoint of a line segment divides into two equal parts.

Proof:

Here, we have

  $\begin{array}{l}\overline{XY}\cong \overline{YZ}\\ \Rightarrow l\left(\overline{XY}\right)=l\left(\overline{YZ}\right)\\ \Rightarrow Y\text{is the midpoint of }\overline{XZ}\end{array}$