Question

in the triangular prism shown below, which lines are skew? select all that apply.
lo and mn
mp and nq
op and nq
pq and lm

Explanation:

Step1: Define skew lines

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

Step2: Analyze each pair

• $\overline{LO}$ & $\overline{MN}$: Non-parallel, no intersection → skew.
• $\overline{MP}$ & $\overline{NQ}$: Parallel (prism edges) → not skew.
• $\overline{OP}$ & $\overline{NQ}$: Non-parallel, no intersection → skew.
• $\overline{PQ}$ & $\overline{LM}$: Non-parallel, no intersection → skew.

Answer:

$\overline{LO}$ and $\overline{MN}$, $\overline{OP}$ and $\overline{NQ}$, $\overline{PQ}$ and $\overline{LM}$