Question

in the cube shown below, which planes are parallel? ghk and ehi fgj and ijk ehi and efg efg and ijk

Explanation:

Step1: Recall the property of parallel planes in a cube

In a cube, opposite faces (planes) are parallel.

Step2: Analyze each option

• For \(GHK\) and \(EHI\): These planes are not opposite.
• For \(FGJ\) and \(IJK\): These planes are not opposite.
• For \(EHI\) and \(EFG\): These planes are adjacent (share an edge \(EF\) or \(EH\) depending on the plane - based on cube structure), not parallel.
• For \(EFG\) and \(IJK\): In a cube, if we consider the structure of the cube, plane \(EFG\) and plane \(IJK\) are opposite.

Answer:

\(EFG\) and \(IJK\)