Question

the lines intersect to form a square pyramid. which pair of lines are parallel? a $overleftrightarrow{ad}$ and $overleftrightarrow{bc}$ b $overleftrightarrow{ad}$ and $overleftrightarrow{cd}$

Explanation:

Step1: Recall square pyramid base properties

A square pyramid has a square base. In a square, opposite sides are parallel. The base here (the green square) has sides like \(AD\), \(BC\), \(AB\), \(CD\).

Step2: Analyze each option

• Option A: \(\overleftrightarrow{AD}\) and \(\overleftrightarrow{BC}\) are opposite sides of the square base, so they are parallel.
• Option B: \(\overleftrightarrow{AD}\) and \(\overleftrightarrow{CD}\) are adjacent sides of the square base, so they are perpendicular (intersect at a right angle), not parallel.

Answer:

A. \(\overleftrightarrow{AD}\) and \(\overleftrightarrow{BC}\)