Question

in the triangular pyramid shown below, which lines are intersecting? select all that apply.

Explanation:

Step1: Recall the definition of intersecting lines

Intersecting lines are lines that meet or cross at a point.

Step2: Analyze each pair

• For \(\overleftrightarrow{TV}\) and \(\overleftrightarrow{TW}\): They share the common point \(T\), so they intersect.
• For \(\overleftrightarrow{UV}\) and \(\overleftrightarrow{VW}\): They share the common point \(V\), so they intersect.
• For \(\overleftrightarrow{TU}\) and \(\overleftrightarrow{VW}\): They do not share a common point, so they do not intersect.
• For \(\overleftrightarrow{TU}\) and \(\overleftrightarrow{TW}\): They share the common point \(T\), so they intersect.

Answer:

\(\overleftrightarrow{TV}\) and \(\overleftrightarrow{TW}\), \(\overleftrightarrow{UV}\) and \(\overleftrightarrow{VW}\), \(\overleftrightarrow{TU}\) and \(\overleftrightarrow{TW}\)