Question

in the triangular prism shown below, which lines are intersecting?
$overleftrightarrow{rs}$ and $overleftrightarrow{rt}$ $overleftrightarrow{st}$ and $overleftrightarrow{uv}$ $overleftrightarrow{st}$ and $overleftrightarrow{uw}$ $overleftrightarrow{sv}$ and $overleftrightarrow{uw}$

Explanation:

Step1: Recall definition of intersecting lines

Intersecting lines share a common point.

Step2: Analyze each option

• For $\overrightarrow{RS}$ and $\overrightarrow{RT}$, they share point $R$, so they intersect.
• For $\overrightarrow{ST}$ and $\overrightarrow{UV}$, they are skew - no common point.
• For $\overrightarrow{ST}$ and $\overrightarrow{UW}$, they are skew - no common point.
• For $\overrightarrow{SV}$ and $\overrightarrow{UW}$, they are skew - no common point.

Answer:

$\overrightarrow{RS}$ and $\overrightarrow{RT}$