Question

in the rectangular prism shown below, which lines are skew? tm and mn ij and jk hk and hl lm and ko

Explanation:

Step1: Recall skew - lines definition

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

Step2: Analyze each option

• For $\overline{IM}$ and $\overline{MN}$, they intersect at point $M$, so they are not skew.
• For $\overline{IJ}$ and $\overline{JK}$, they are in the same face and intersect at point $J$, so they are not skew.
• For $\overline{HK}$ and $\overline{HL}$, they are in the same face and intersect at point $H$, so they are not skew.
• For $\overline{LM}$ and $\overline{KO}$, they are not in the same plane, do not intersect, and are not parallel. So they are skew.

Answer:

$\overline{LM}$ and $\overline{KO}$