Question

in the rectangular prism shown below, which lines are skew? hl and jk ij and gh jk and fg ij and il

Explanation:

Step1: Recall skew - lines definition

Skew lines are non - parallel and non - intersecting lines in 3 - D space.

Step2: Analyze each option

• $\overrightarrow{HL}$ and $\overrightarrow{JK}$: $\overrightarrow{HL}$ and $\overrightarrow{JK}$ are parallel, so they are not skew.
• $\overrightarrow{IJ}$ and $\overrightarrow{GH}$: $\overrightarrow{IJ}$ and $\overrightarrow{GH}$ are non - parallel and do not intersect. They are in different planes.
• $\overrightarrow{JK}$ and $\overrightarrow{FG}$: $\overrightarrow{JK}$ and $\overrightarrow{FG}$ are parallel, so they are not skew.
• $\overrightarrow{IJ}$ and $\overrightarrow{IL}$: $\overrightarrow{IJ}$ and $\overrightarrow{IL}$ intersect at point $I$, so they are not skew.

Answer:

$\overrightarrow{IJ}$ and $\overrightarrow{GH}$