Question

in the rectangular prism shown below, which lines are intersecting? select all that apply.

Explanation:

Step1: Recall intersecting - lines definition

Intersecting lines meet at a point.

Step2: Analyze $\overrightarrow{ST}$ and $\overrightarrow{TU}$

They meet at point T.

Step3: Analyze $\overrightarrow{PQ}$ and $\overrightarrow{QR}$

They meet at point Q.

Step4: Analyze $\overrightarrow{PT}$ and $\overrightarrow{ST}$

They meet at point T.

Step5: Analyze $\overrightarrow{OR}$ and $\overrightarrow{OS}$

They meet at point O.

Answer:

$\overrightarrow{ST}$ and $\overrightarrow{TU}$, $\overrightarrow{PQ}$ and $\overrightarrow{QR}$, $\overrightarrow{PT}$ and $\overrightarrow{ST}$, $\overrightarrow{OR}$ and $\overrightarrow{OS}$