Question

in the triangular prism shown below, which lines are intersecting? select all that apply.

Explanation:

Step1: Recall definition of intersecting lines

Intersecting lines share a common point.

Step2: Analyze each pair

• $\overrightarrow{IK}$ and $\overrightarrow{LM}$: Do not share a common - point, so they are not intersecting.
• $\overrightarrow{KN}$ and $\overrightarrow{MN}$: Share the common point $N$, so they are intersecting.
• $\overrightarrow{IL}$ and $\overrightarrow{LM}$: Share the common point $L$, so they are intersecting.
• $\overrightarrow{IK}$ and $\overrightarrow{MN}$: Do not share a common point, so they are not intersecting.

Answer:

$\overrightarrow{KN}$ and $\overrightarrow{MN}$, $\overrightarrow{IL}$ and $\overrightarrow{LM}$