Question

in the cube shown below, which lines are skew?
\overleftrightarrow{kl} and \overleftrightarrow{lp} \quad \overleftrightarrow{pq} and \overleftrightarrow{kl} \quad \overleftrightarrow{or} and \overleftrightarrow{ko} \quad \overleftrightarrow{kn} and \overleftrightarrow{mn}

Explanation:

Step1: Recall skew lines definition

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

Step2: Analyze each option

• $\overline{KL}$ & $\overline{LP}$: Intersect at $L$ → not skew.
• $\overline{PQ}$ & $\overline{KL}$: No intersection, not parallel → skew.
• $\overline{QR}$ & $\overline{KO}$: Parallel (cube edges) → not skew.
• $\overline{KN}$ & $\overline{MN}$: Intersect at $N$ → not skew.

Answer:

B. $\overline{PQ}$ and $\overline{KL}$