Question

1. choose the correct answer.

given \overleftrightarrow{mn}, \overleftrightarrow{os}, \overleftrightarrow{rs}, \overleftrightarrow{pt}, which lines are parallel?
\overleftrightarrow{mn} and \overleftrightarrow{os}
\overleftrightarrow{rs} and \overleftrightarrow{mn}
\overleftrightarrow{pt} and \overleftrightarrow{mn}
\overleftrightarrow{os} and \overleftrightarrow{pt}

Explanation:

Step1: Recall the property of parallel lines in a cube

In a cube, parallel lines are those that do not intersect and have the same direction.

Step2: Analyze each option

• For \(\overleftrightarrow{MN}\) and \(\overleftrightarrow{OS}\): In a cube, these lines are parallel as they are in the same - direction and do not intersect.
• For \(\overleftrightarrow{RS}\) and \(\overleftrightarrow{MN}\): These lines are not parallel.
• For \(\overleftrightarrow{PT}\) and \(\overleftrightarrow{MN}\): These lines are not parallel.
• For \(\overleftrightarrow{OS}\) and \(\overleftrightarrow{PT}\): These lines are not parallel.

Answer:

\(\overleftrightarrow{MN}\) and \(\overleftrightarrow{OS}\)