Question

in the triangular prism shown below, which lines are skew? ij and lm jk and mn ij and kn lm and mn

Explanation:

Step1: Recall skew - lines definition

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

Step2: Analyze each option

• For $\overleftrightarrow{IJ}$ and $\overleftrightarrow{LM}$: They are in different planes and do not intersect and are not parallel.
• For $\overleftrightarrow{JK}$ and $\overleftrightarrow{MN}$: They are in the same lateral face, so they are coplanar and not skew.
• For $\overleftrightarrow{IJ}$ and $\overleftrightarrow{KN}$: They are in different planes, but they are parallel (as they are corresponding lines in parallel planes), so not skew.
• For $\overleftrightarrow{LM}$ and $\overleftrightarrow{MN}$: They intersect at point $M$, so not skew.

Answer:

$\overleftrightarrow{IJ}$ and $\overleftrightarrow{LM}$