Question

in the square pyramid 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 $\overrightarrow{JK}$ and $\overrightarrow{LM}$: They are not in the same plane, not parallel, and do not intersect, so they are skew.
• For $\overrightarrow{JL}$ and $\overrightarrow{MN}$: They are not in the same plane, not parallel, and do not intersect, so they are skew.
• For $\overrightarrow{KL}$ and $\overrightarrow{KN}$: They intersect at point $K$, so they are not skew.
• For $\overrightarrow{JN}$ and $\overrightarrow{MN}$: They intersect at point $N$, so they are not skew.

Answer:

$\overrightarrow{JK}$ and $\overrightarrow{LM}$, $\overrightarrow{JL}$ and $\overrightarrow{MN}$