Question

in the rectangular prism shown below, which lines are parallel? image of rectangular prism with vertices r, q, p, m, l, k, n, o options: \\(\overleftrightarrow{mn}\\) and \\(\overleftrightarrow{op}\\), \\(\overleftrightarrow{mq}\\) and \\(\overleftrightarrow{op}\\), \\(\overleftrightarrow{kn}\\) and \\(\overleftrightarrow{lp}\\), \\(\overleftrightarrow{kl}\\) and \\(\overleftrightarrow{lm}\\)

Explanation:

Step1: Recall parallel lines in prism

In a rectangular prism, opposite edges are parallel.

Step2: Check each option

• MN & OP: Both are horizontal edges in the same direction, opposite → parallel.
• MQ & OP: MQ is vertical, OP is horizontal → not parallel.
• KN & LP: KN is vertical, LP is not parallel to it → not parallel.
• KL & LM: They intersect at L → not parallel.

Answer:

MN and OP