Chapter 1, Problem 11CT

To determine

To name: the two congruent segments for the given diagram.

Explanation of Solution

Given information:

The given figure is as follows:

The line segment $\overline{AC}$ bisects $\overline{BD}$

Calculation:

Consider the given figure.

The line segment $\overline{AC}$ bisects $\overline{BD}$ means, $\overline{AC}$ intersects $\overline{BD}$ exactly at midpoint.

So, $\overline{BX}\approx \overline{DX}$

Hence, the two congruent line segments are $\overline{BX}$ and $\overline{DX}.$