Question

in the triangular prism shown below, which lines are parallel?
lo and mo
jk and jm
kl and no
kn and mo

Explanation:

Step1: Recall parallel - line definition

Parallel lines in 3 - D figures are lines that lie in the same plane and do not intersect.

Step2: Analyze each option

• For $\overrightarrow{LO}$ and $\overrightarrow{MO}$, they intersect at point $O$, so they are not parallel.
• For $\overrightarrow{JK}$ and $\overrightarrow{JM}$, they intersect at point $J$, so they are not parallel.
• For $\overrightarrow{KL}$ and $\overrightarrow{NO}$, in a triangular prism, the opposite lateral - edges are parallel. $\overrightarrow{KL}$ and $\overrightarrow{NO}$ are opposite lateral - edges of the triangular prism, so they are parallel.
• For $\overrightarrow{KN}$ and $\overrightarrow{MO}$, they are not in the same plane and do not satisfy the parallel - line condition.

Answer:

$\overrightarrow{KL}$ and $\overrightarrow{NO}$