Question

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

Explanation:

Step1: Recall skew - lines definition

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

Step2: Analyze each pair

• For $\overleftrightarrow{EF}$ and $\overleftrightarrow{FI}$: They are in different planes and do not intersect or are parallel.
• For $\overleftrightarrow{GI}$ and $\overleftrightarrow{HI}$: They are in different planes and do not intersect or are parallel.
• For $\overleftrightarrow{EF}$ and $\overleftrightarrow{GH}$: They are in different planes and do not intersect or are parallel.
• For $\overleftrightarrow{HI}$ and $\overleftrightarrow{DF}$: They are in different planes and do not intersect or are parallel.

Answer:

$\overleftrightarrow{EF}$ and $\overleftrightarrow{FI}$, $\overleftrightarrow{GI}$ and $\overleftrightarrow{HI}$, $\overleftrightarrow{EF}$ and $\overleftrightarrow{GH}$, $\overleftrightarrow{HI}$ and $\overleftrightarrow{DF}$