Geometry

Question Analysis

This question involves the concept of parallel planes within the context of a 3D figure. The main focus is on applying the definition of parallel planes to identify the pair of parallel planes in the given quadrangular prism.

 

Key Concept Explanation:

Parallel planes are defined as planes that do not intersect each other, regardless of how far they are extended. In contrast, intersecting planes meet at a line.

 

Option Analysis

The plane parallel to ABE is DCH. Plane ABE and plane DCH are the front and back of the triangular prism. They do not intersect, which satisfies the definition of parallel planes.

 

The other options are incorrect:

Option A: Plane ABC and plane ABE share a common edge AB. They are not parallel since they intersect along this edge.

 

Option B: Plane BCF and plane ...