Question

in the triangular prism shown below, which lines are intersecting?
options: (overleftrightarrow{or}) and (overleftrightarrow{qs}), (overleftrightarrow{qs}) and (overleftrightarrow{rs}), (overleftrightarrow{or}) and (overleftrightarrow{nq}), (overleftrightarrow{qr}) and (overleftrightarrow{ps})

Explanation:

Step1: Define intersecting lines

Intersecting lines share exactly one common point.

Step2: Analyze each option

• $\overrightarrow{QR}$ and $\overrightarrow{QS}$: Share point Q → intersect.
• $\overrightarrow{QS}$ and $\overrightarrow{RS}$: Share point S → intersect.
• $\overrightarrow{QR}$ and $\overrightarrow{NQ}$: Share point Q → intersect.
• $\overrightarrow{QR}$ and $\overrightarrow{PS}$: No common point → do not intersect.

Answer:

A. $\overrightarrow{QR}$ and $\overrightarrow{QS}$, B. $\overrightarrow{QS}$ and $\overrightarrow{RS}$, C. $\overrightarrow{QR}$ and $\overrightarrow{NQ}$