Question

in the cube shown below, which lines are intersecting? select all that apply. os and rs pt and st ru and tu os and no

Explanation:

Step1: Recall definition of intersecting lines

Intersecting lines meet at a single point.

Step2: Analyze each pair

• For $\overleftrightarrow{OS}$ and $\overleftrightarrow{RS}$, they meet at point $S$.
• For $\overleftrightarrow{PT}$ and $\overleftrightarrow{ST}$, they meet at point $T$.
• For $\overleftrightarrow{RU}$ and $\overleftrightarrow{TU}$, they meet at point $U$.
• For $\overleftrightarrow{OS}$ and $\overleftrightarrow{NO}$, they are skew - do not meet.

Answer:

$\overleftrightarrow{OS}$ and $\overleftrightarrow{RS}$, $\overleftrightarrow{PT}$ and $\overleftrightarrow{ST}$, $\overleftrightarrow{RU}$ and $\overleftrightarrow{TU}$