Question

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

Explanation:

Step1: Recall intersecting lines definition

Intersecting lines meet at a point.

Step2: Analyze each pair

• For $\overrightarrow{JK}$ and $\overrightarrow{LN}$: They do not meet, so they are not intersecting.
• For $\overrightarrow{JM}$ and $\overrightarrow{LM}$: They meet at point $M$, so they are intersecting.
• For $\overrightarrow{IK}$ and $\overrightarrow{JM}$: They do not meet, so they are not intersecting.
• For $\overrightarrow{IK}$ and $\overrightarrow{LN}$: They do not meet, so they are not intersecting.

Answer:

$\overrightarrow{JM}$ and $\overrightarrow{LM}$