Question

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

Explanation:

Step1: Recall parallel - line definition

Parallel lines in 3 - D figures are lines that lie in the same plane and do not intersect.

Step2: Analyze each pair

• For $\overrightarrow{JM}$ and $\overrightarrow{MN}$: They intersect at point $M$, so they are not parallel.
• For $\overrightarrow{JK}$ and $\overrightarrow{JM}$: They intersect at point $J$, so they are not parallel.
• For $\overrightarrow{IJ}$ and $\overrightarrow{IK}$: They intersect at point $I$, so they are not parallel.
• For $\overrightarrow{JM}$ and $\overrightarrow{KN}$: In a triangular prism, the opposite - side edges of the rectangular faces are parallel. $\overrightarrow{JM}$ and $\overrightarrow{KN}$ are opposite - side edges of a rectangular face of the triangular prism, so they are parallel.

Answer:

$\overrightarrow{JM}$ and $\overrightarrow{KN}$