Question

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

Explanation:

Step1: Understand intersecting lines

Intersecting lines are lines that cross each other at a point.

Step2: Analyze each pair

• For \(\overleftrightarrow{GJ}\) and \(\overleftrightarrow{FI}\): They cross at a point.
• For \(\overleftrightarrow{IJ}\) and \(\overleftrightarrow{GH}\): They cross at a point.
• For \(\overleftrightarrow{IK}\) and \(\overleftrightarrow{GH}\): They cross at a point.
• For \(\overleftrightarrow{HK}\) and \(\overleftrightarrow{IK}\): They cross at point \(K\).

Answer:

\(\overleftrightarrow{GJ}\) and \(\overleftrightarrow{FI}\), \(\overleftrightarrow{IJ}\) and \(\overleftrightarrow{GH}\), \(\overleftrightarrow{IK}\) and \(\overleftrightarrow{GH}\), \(\overleftrightarrow{HK}\) and \(\overleftrightarrow{IK}\)