Question

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

Explanation:

Step1: Recall parallel - lines definition

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

Step2: Analyze each option

• For $\overleftrightarrow{JN}$ and $\overleftrightarrow{NO}$: They are in the same face (top - face in this case) and do not intersect, so they are parallel.
• For $\overleftrightarrow{LM}$ and $\overleftrightarrow{KO}$: They are in parallel planes and have the same direction, so they are parallel.
• For $\overleftrightarrow{IM}$ and $\overleftrightarrow{LM}$: They are in the same face (front - face in this case) and do not intersect, so they are parallel.
• For $\overleftrightarrow{HL}$ and $\overleftrightarrow{JN}$: They are in parallel planes and have the same direction, so they are parallel.

Answer:

$\overleftrightarrow{JN}$ and $\overleftrightarrow{NO}$, $\overleftrightarrow{LM}$ and $\overleftrightarrow{KO}$, $\overleftrightarrow{IM}$ and $\overleftrightarrow{LM}$, $\overleftrightarrow{HL}$ and $\overleftrightarrow{JN}$