Question

in the rectangular prism shown below, which lines are skew? qr and no, nr and pt, os and pt, qr and st

Explanation:

Step1: Recall skew - line definition

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

Step2: Analyze each option

• $\overleftrightarrow{QR}$ and $\overleftrightarrow{NO}$: These lines are parallel.
• $\overleftrightarrow{NR}$ and $\overleftrightarrow{PT}$: These lines are parallel.
• $\overleftrightarrow{OS}$ and $\overleftrightarrow{PT}$: $\overleftrightarrow{OS}$ and $\overleftrightarrow{PT}$ are non - parallel and do not intersect, so they are skew.
• $\overleftrightarrow{QR}$ and $\overleftrightarrow{ST}$: These lines are parallel.

Answer:

$\overleftrightarrow{OS}$ and $\overleftrightarrow{PT}$