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{rs})

Explanation:

Step1: Define intersecting lines

Intersecting lines share a common point.

Step2: Check each option

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

Answer:

$\overline{QR}$ and $\overline{QS}$, $\overline{QS}$ and $\overline{RS}$, $\overline{QR}$ and $\overline{NQ}$