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

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

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

Answer

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 $\overrightarrow{LM}$