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 pentagonal 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 parallel planes are ABC and MNO. In a pentagonal prism, the two bases are parallel to each other. Plane ABC and plane MNO are the two bases of the pentagonal prism. They do not intersect, which satisfies the definition of parallel planes.

The other options are incorrect:

Option B: Plane CBL and plane MNO share a common edge LM. They are not parallel since they intersect along this edge.

Option C: Plane CBL and plane EAK are lateral faces of the prism. These lateral faces are not parallel. If BC∥