Question

in the triangular prism shown below, which lines are skew?\
\
\\(\overleftrightarrow{mn}\\) and \\(\overleftrightarrow{mo}\\)\
\\(\overleftrightarrow{mn}\\) and \\(\overleftrightarrow{lo}\\)\
\\(\overleftrightarrow{kl}\\) and \\(\overleftrightarrow{no}\\)\
\\(\overleftrightarrow{lo}\\) and \\(\overleftrightarrow{no}\\)

Explanation:

Step1: Define skew lines

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

Step2: Analyze each option

• $\overline{MN}$ & $\overline{MO}$: Share point M (intersect), not skew.
• $\overline{MN}$ & $\overline{LO}$: No common point; not parallel (different planes), skew.
• $\overline{KL}$ & $\overline{NO}$: Parallel (prism edges), not skew.
• $\overline{LO}$ & $\overline{NO}$: Share point O (intersect), not skew.

Answer:

B. $\overline{MN}$ and $\overline{LO}$