Question

in the triangular prism shown below, which lines are parallel? select all that apply. lm and lo km and lm lm and mp kl and no

Explanation:

Step1: Recall parallel - line definition

In a triangular prism, parallel lines are lines that lie in the same plane and never intersect.

Step2: Analyze each option

• $\overrightarrow{LM}$ and $\overrightarrow{LO}$: These lines intersect at point $L$, so they are not parallel.
• $\overrightarrow{KM}$ and $\overrightarrow{LM}$: These lines intersect at point $M$, so they are not parallel.
• $\overrightarrow{LM}$ and $\overrightarrow{MP}$: These lines are not in the same plane and are not parallel.
• $\overrightarrow{KL}$ and $\overrightarrow{NO}$: In a triangular prism, the corresponding edges of the two parallel triangular bases are parallel. $\overrightarrow{KL}$ and $\overrightarrow{NO}$ are corresponding edges of the two parallel triangular bases, so they are parallel.

Answer:

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