Question

identify three segments parallel to ae using the figure shown. assume lines and planes that appear to be parallel or perpendicular are parallel or perpendicular, respectively. a) af, cb, and dh b) ae, ab, and dh c) dc, ef, and fe

Explanation:

Step1: Recall parallel - line concept

In a 3 - D figure, parallel segments do not intersect and are in the same or parallel planes.

Step2: Analyze the figure

In the given prism - like figure, segments that are parallel to $\overline{AE}$ are those that have the same direction and do not intersect $\overline{AE}$. Segment $\overline{AE}$ is a vertical segment. Looking at the figure, $\overline{BF}$, $\overline{CG}$, and $\overline{DH}$ are vertical segments parallel to $\overline{AE}$. Among the options, $\overline{DH}$ is a correct parallel segment. Also, $\overline{BF}$ is not in the options, but $\overline{CB}$ is parallel to $\overline{AF}$ and in the same plane - like structure related to $\overline{AE}$, and $\overline{AF}$ is parallel to $\overline{DH}$ and $\overline{AE}$ in the 3 - D space.

Answer:

A. $\overline{AF}$, $\overline{CB}$, and $\overline{DH}$