Question

in the triangular prism shown below, which lines are skew? k n and n p k l and n o k m and l m k m and n o

Explanation:

Step1: Recall skew - lines definition

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

Step2: Analyze each option

• For $\overleftrightarrow{KN}$ and $\overleftrightarrow{NP}$, they intersect at point $N$, so they are not skew.
• For $\overleftrightarrow{KL}$ and $\overleftrightarrow{NO}$, they are parallel, so they are not skew.
• For $\overleftrightarrow{KM}$ and $\overleftrightarrow{LM}$, they intersect at point $M$, so they are not skew.
• For $\overleftrightarrow{KM}$ and $\overleftrightarrow{NO}$, they are non - parallel and do not intersect as they lie in different non - parallel planes.

Answer:

$\overleftrightarrow{KM}$ and $\overleftrightarrow{NO}$