Question

in the triangular prism shown below, which lines are intersecting?

Explanation:

Step1: Recall the definition of intersecting lines

Intersecting lines are lines that meet at a point.

Step2: Analyze each pair

• For \(\overleftrightarrow{ST}\) and \(\overleftrightarrow{UV}\): These lines are skew (not in the same plane and do not intersect).
• For \(\overleftrightarrow{RS}\) and \(\overleftrightarrow{RU}\): These lines meet at point \(R\).
• For \(\overleftrightarrow{ST}\) and \(\overleftrightarrow{VW}\): These lines are skew (not in the same plane and do not intersect).
• For \(\overleftrightarrow{ST}\) and \(\overleftrightarrow{UW}\): These lines are skew (not in the same plane and do not intersect).

Answer:

\(\overleftrightarrow{RS}\) and \(\overleftrightarrow{RU}\)