Question

identify a segment parallel to $overline{ad}$ using the figure shown. assume lines and planes that appear to be parallel or perpendicular are parallel or perpendicular, respectively.

Explanation:

Step1: Recall parallel - line concept in 3D.

In a 3 - D figure, parallel segments lie in parallel lines. For a rectangular prism (the given figure), opposite edges are parallel.

Step2: Identify opposite edge to $\overline{AD}$.

Looking at the figure, the edge opposite to $\overline{AD}$ is $\overline{BC}$ (in the same top - face plane) and $\overline{EH}$ (in the bottom - face plane). Since we are looking for a segment parallel to $\overline{AD}$, and considering the structure of the rectangular prism, $\overline{BC}$ and $\overline{EH}$ are parallel to $\overline{AD}$.

Answer:

$\overline{BC}$ and $\overline{EH}$