Question

in the triangular prism shown below, which lines are intersecting? rt and uw rs and tw uv and vw uv and tw

Explanation:

Step1: Recall intersecting - lines definition

Intersecting lines meet at a point.

Step2: Analyze each option

• $\overleftrightarrow{RT}$ and $\overleftrightarrow{UW}$: They are skew - not intersecting.
• $\overleftrightarrow{RS}$ and $\overleftrightarrow{TW}$: They are skew - not intersecting.
• $\overleftrightarrow{UV}$ and $\overleftrightarrow{VW}$: They meet at point $V$, so they are intersecting.
• $\overleftrightarrow{UV}$ and $\overleftrightarrow{TW}$: They are skew - not intersecting.

Answer:

$\overleftrightarrow{UV}$ and $\overleftrightarrow{VW}$