Question

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

Explanation:

Step1: Recall skew - line definition

Skew lines are non - parallel and non - intersecting lines in 3 - D space.

Step2: Analyze each pair

• For $\overleftrightarrow{FJ}$ and $\overleftrightarrow{HI}$: They are in different planes, not parallel, and do not intersect.
• For $\overleftrightarrow{HL}$ and $\overleftrightarrow{FG}$: They are in different planes, not parallel, and do not intersect.
• For $\overleftrightarrow{FJ}$ and $\overleftrightarrow{HL}$: They are in different planes, not parallel, and do not intersect.
• For $\overleftrightarrow{LM}$ and $\overleftrightarrow{FI}$: They are in different planes, not parallel, and do not intersect.

Answer:

$\overleftrightarrow{FJ}$ and $\overleftrightarrow{HI}$, $\overleftrightarrow{HL}$ and $\overleftrightarrow{FG}$, $\overleftrightarrow{FJ}$ and $\overleftrightarrow{HL}$, $\overleftrightarrow{LM}$ and $\overleftrightarrow{FI}$