Question

in the square pyramid shown below, which lines are skew? select all that apply.

Explanation:

Step1: Recall skew - lines definition

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

Step2: Analyze each pair

• For $\overleftrightarrow{NR}$ and $\overleftrightarrow{OP}$: They are in different planes and do not intersect and are not parallel.
• For $\overleftrightarrow{NR}$ and $\overleftrightarrow{PQ}$: They are in different planes, non - intersecting and non - parallel.
• For $\overleftrightarrow{QR}$ and $\overleftrightarrow{NO}$: They are in different planes, non - intersecting and non - parallel.
• For $\overleftrightarrow{OR}$ and $\overleftrightarrow{PQ}$: They are in different planes, non - intersecting and non - parallel.

Answer:

$\overleftrightarrow{NR}$ and $\overleftrightarrow{OP}$, $\overleftrightarrow{NR}$ and $\overleftrightarrow{PQ}$, $\overleftrightarrow{QR}$ and $\overleftrightarrow{NO}$, $\overleftrightarrow{OR}$ and $\overleftrightarrow{PQ}$