Question

in the rectangular prism shown below, which lines are intersecting? select all that apply. nr and pt, nr and no, tu and no, pq and qu

Explanation:

Step1: Recall definition of intersecting lines

Intersecting lines share a common point.

Step2: Analyze each option

• For $\overleftrightarrow{NR}$ and $\overleftrightarrow{PT}$: They are skew - not intersecting as they are not in the same plane and do not meet.
• For $\overleftrightarrow{NR}$ and $\overleftrightarrow{NO}$: They meet at point $N$, so they are intersecting.
• For $\overleftrightarrow{TU}$ and $\overleftrightarrow{NO}$: They are skew - not in the same plane and do not meet.
• For $\overleftrightarrow{PQ}$ and $\overleftrightarrow{QU}$: They meet at point $Q$, so they are intersecting.

Answer:

$\overleftrightarrow{NR}$ and $\overleftrightarrow{NO}$, $\overleftrightarrow{PQ}$ and $\overleftrightarrow{QU}$