Question

in the rectangular prism shown below, which lines are parallel? select all that apply.

Explanation:

Step1: Recall parallel - line definition

Parallel lines in 3 - D do not intersect and are in the same plane or in parallel planes.

Step2: Analyze each pair

• $\overleftrightarrow{JK}$ and $\overleftrightarrow{KL}$: They intersect at point $K$, so they are not parallel.
• $\overleftrightarrow{KO}$ and $\overleftrightarrow{LP}$: They are in parallel planes and do not intersect, so they are parallel.
• $\overleftrightarrow{IM}$ and $\overleftrightarrow{MP}$: They intersect at point $M$, so they are not parallel.
• $\overleftrightarrow{KL}$ and $\overleftrightarrow{MP}$: They are in parallel planes and do not intersect, so they are parallel.

Answer:

$\overleftrightarrow{KO}$ and $\overleftrightarrow{LP}$, $\overleftrightarrow{KL}$ and $\overleftrightarrow{MP}$