Question

in the rectangular prism shown below, which lines are parallel? (overrightarrow{jk}) and (overrightarrow{ei}) (overrightarrow{hl}) and (overrightarrow{gh}) (overrightarrow{ij}) and (overrightarrow{kl}) (overrightarrow{fg}) and (overrightarrow{gh})

Explanation:

Step1: Recall parallel - line property in prism

In a rectangular prism, parallel lines are lines that do not intersect and are in the same or parallel planes.

Step2: Analyze each option

• For $\overrightarrow{JK}$ and $\overrightarrow{EI}$, they are not in the same or parallel planes.
• For $\overrightarrow{HL}$ and $\overrightarrow{GH}$, they intersect at point $H$.
• For $\overrightarrow{IJ}$ and $\overrightarrow{KL}$, they are in the same plane (the bottom - face of the prism) and do not intersect.
• For $\overrightarrow{FG}$ and $\overrightarrow{GH}$, they intersect at point $G$.

Answer:

$\overrightarrow{IJ}$ and $\overrightarrow{KL}$