Question

in the triangular prism shown below, which planes intersect? select all that apply.

Explanation:

Step1: Recall the property of intersecting planes

Two planes intersect if they are not parallel.

Step2: Analyze each pair

• For \(GHJ\) and \(JKL\):

These two planes share the line \(JH\) (assuming the prism's structure). So they intersect.

• For \(GIJ\) and \(JKL\):

They share the line \(JL\). So they intersect.

• For \(GHJ\) and \(GIJ\):

They share the line \(GJ\). So they intersect.

• For \(HIK\) and \(GHI\):

They share the line \(HI\). So they intersect.

Answer:

All the given pairs of planes (\(GHJ\) and \(JKL\), \(GIJ\) and \(JKL\), \(GHJ\) and \(GIJ\), \(HIK\) and \(GHI\)) intersect.