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 at a point.

Step2: Analyze \(\overleftrightarrow{GJ}\) and \(\overleftrightarrow{IJ}\)

They meet at point \(J\), so they are intersecting.

Step3: Analyze \(\overleftrightarrow{GJ}\) and \(\overleftrightarrow{GH}\)

They meet at point \(G\), so they are intersecting.

Step4: Analyze \(\overleftrightarrow{HI}\) and \(\overleftrightarrow{HJ}\)

They meet at point \(H\), so they are intersecting.

Step5: Analyze \(\overleftrightarrow{HJ}\) and \(\overleftrightarrow{IJ}\)

They do not meet at any point, so they are not intersecting.

Answer:

\(\overleftrightarrow{GJ}\) and \(\overleftrightarrow{IJ}\), \(\overleftrightarrow{GJ}\) and \(\overleftrightarrow{GH}\), \(\overleftrightarrow{HI}\) and \(\overleftrightarrow{HJ}\)