Question

in the triangular prism shown below, which lines are skew?
hj and fi
eg and eh
hj and eh
gj and fg

Explanation:

Step1: Recall skew - lines definition

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

Step2: Analyze $\overleftrightarrow{HJ}$ and $\overleftrightarrow{FI}$

They are in different planes and do not intersect and are not parallel.

Step3: Analyze $\overleftrightarrow{EG}$ and $\overleftrightarrow{EH}$

They intersect at point $E$, so they are not skew.

Step4: Analyze $\overleftrightarrow{HJ}$ and $\overleftrightarrow{EH}$

They intersect at point $H$, so they are not skew.

Step5: Analyze $\overleftrightarrow{GJ}$ and $\overleftrightarrow{FG}$

They intersect at point $G$, so they are not skew.

Answer:

$\overleftrightarrow{HJ}$ and $\overleftrightarrow{FI}$