Question

in the rectangular prism shown below, which lines are parallel? jm and fg gk and hl fj and kl kl and fg

Explanation:

Step1: Recall parallel - line property in rectangular prism

In a rectangular prism, parallel lines are lines that lie in the same plane and never intersect.

Step2: Analyze each option

• For $\overline{JM}$ and $\overline{FG}$: $\overline{JM}$ is on the top - front face and $\overline{FG}$ is on the bottom - front face. They are not in the same plane and are not parallel.
• For $\overline{GK}$ and $\overline{HL}$: $\overline{GK}$ is on the right - front face and $\overline{HL}$ is on the left - back face. They are not in the same plane and are not parallel.
• For $\overline{FJ}$ and $\overline{KL}$: $\overline{FJ}$ is on the bottom - front face and $\overline{KL}$ is on the top - back face. They are not in the same plane and are not parallel.
• For $\overline{KL}$ and $\overline{FG}$: $\overline{KL}$ and $\overline{FG}$ are both horizontal lines. $\overline{KL}$ is on the top face and $\overline{FG}$ is on the bottom face. They are in parallel planes and are parallel to each other.

Answer:

$\overline{KL}$ and $\overline{FG}$