Question

in the rectangular prism shown below, which lines are parallel? select all that apply. jk and ko jm and ko pq and lm kl and ko

Explanation:

Step1: Recall parallel - line property in a rectangular prism

In a rectangular prism, parallel lines are lines that never intersect and are in the same or parallel planes.

Step2: Analyze each option

• For $\overline{JK}$ and $\overline{KO}$: They are adjacent edges that meet at point $K$, so they are not parallel.
• For $\overline{JM}$ and $\overline{KO}$: $\overline{JM}$ and $\overline{KO}$ are in parallel planes. $\overline{JM}$ is in the top - front plane and $\overline{KO}$ is in the bottom - back plane, and they do not intersect, so they are parallel.
• For $\overline{PQ}$ and $\overline{LM}$: $\overline{PQ}$ and $\overline{LM}$ are in parallel planes. $\overline{PQ}$ is in the bottom - right plane and $\overline{LM}$ is in the top - left plane, and they do not intersect, so they are parallel.
• For $\overline{KL}$ and $\overline{KO}$: They are adjacent edges that meet at point $K$, so they are not parallel.

Answer:

$\overline{JM}$ and $\overline{KO}$, $\overline{PQ}$ and $\overline{LM}$