Chapter 3.3, Problem 10WE

To determine

To name: the segments that must be parallel with the given information.

Explanation of Solution

Given information:

The given figure is as follows

  $\overline{FC}\perp \overline{AE}\text{ and }\overline{FC}\perp \overline{BD}$

If a line is perpendicular to one of two parallel lines, then it is perpendicular to other line

also.

Here, $\overline{FC}$ is perpendicular both lines $\overline{AE}\text{ and }\overline{BD}$ , so the two lines $\overline{AE}\text{ and }\overline{BD}$ are

parallel to each other.

Hence, the parallel line segments are $\overline{AE}\text{ and }\overline{BD}$ .