Question

in the square pyramid shown below, which lines are parallel? select all that apply.

Explanation:

Step1: Recall parallel - line definition

Parallel lines are lines in the same plane that never intersect. In a square - based pyramid, the base is a square.

Step2: Analyze base - side relationships

In the square base \(ABCD\) of the pyramid, \(\overrightarrow{AB}\) and \(\overrightarrow{CD}\) are opposite sides of the square base. Opposite sides of a square are parallel. The other pairs (\(\overrightarrow{AD}\) and \(\overrightarrow{BE}\), \(\overrightarrow{AD}\) and \(\overrightarrow{DE}\), \(\overrightarrow{AB}\) and \(\overrightarrow{AE}\)) are not parallel because they are either skew lines (lines that are not in the same plane) or intersecting lines.

Answer:

\(\overrightarrow{AB}\) and \(\overrightarrow{CD}\)