Question

in the triangular prism shown below, which lines are intersecting? \\(\overleftrightarrow{lm}\\) and \\(\overleftrightarrow{nq}\\) \\(\overleftrightarrow{lo}\\) and \\(\overleftrightarrow{nq}\\) \\(\overleftrightarrow{lm}\\) and \\(\overleftrightarrow{ln}\\) \\(\overleftrightarrow{mn}\\) and \\(\overleftrightarrow{op}\\)

Explanation:

Step1: Define intersecting lines

Intersecting lines share a common point.

Step2: Analyze each option

• $\overline{LM}$ and $\overline{NQ}$: Parallel (prism edges), no common point.
• $\overline{LO}$ and $\overline{NQ}$: Skew, no common point.
• $\overline{LM}$ and $\overline{LN}$: Meet at point L, share a common point.
• $\overline{MN}$ and $\overline{OP}$: Parallel (prism edges), no common point.

Answer:

C. $\overline{LM}$ and $\overline{LN}$