Question

in the rectangular prism shown below, which lines are skew? select all that apply.

Explanation:

Step1: Recall skew - lines definition

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

Step2: Analyze each pair

• For $\overline{QR}$ and $\overline{TU}$: They are parallel, so not skew.
• For $\overline{PT}$ and $\overline{SW}$: They are non - parallel and non - intersecting, so they are skew.
• For $\overline{QR}$ and $\overline{SW}$: They are non - parallel and non - intersecting, so they are skew.
• For $\overline{SW}$ and $\overline{UV}$: They are non - parallel and non - intersecting, so they are skew.

Answer:

$\overline{PT}$ and $\overline{SW}$, $\overline{QR}$ and $\overline{SW}$, $\overline{SW}$ and $\overline{UV}$