Question

in the rectangular prism shown below, which lines are parallel? rv and sw pt and rs sw and tw pq and qu

Explanation:

Step1: Recall parallel - line definition

In a rectangular prism, parallel lines are lines that lie in the same plane and never intersect.

Step2: Analyze each option

• For $\overleftrightarrow{RV}$ and $\overleftrightarrow{SW}$: They are opposite edges of a rectangular - prism face. They lie in the same plane (a rectangular face of the prism) and do not intersect.
• For $\overleftrightarrow{PT}$ and $\overleftrightarrow{RS}$: $\overleftrightarrow{PT}$ and $\overleftrightarrow{RS}$ are not in the same plane and are not parallel.
• For $\overleftrightarrow{SW}$ and $\overleftrightarrow{TW}$: They intersect at point $W$, so they are not parallel.
• For $\overleftrightarrow{PQ}$ and $\overleftrightarrow{QU}$: They intersect at point $Q$, so they are not parallel.

Answer:

$\overleftrightarrow{RV}$ and $\overleftrightarrow{SW}$