A plane intersects a solid. The resulting cross section is a trapezoid.


Which situation describes the intersection?


A.

The plane intersected a rectangular prism parallel to its base.


B.

The plane intersected a rectangular pyramid perpendicular to the pyramid’s base and through its vertex.


C.

The plane intersected a rectangular pyramid perpendicular to the pyramid’s base and not through its vertex.


D.

The plane intersected a rectangular pyramid parallel to its base.

Verified Answer :

The answer is C.

Think of a pyramid. The base is a rectangle, and the four sides are triangles that meet at the top. If a plane were to intersect this rectangular pyramid perpendicular to the base and through the vertex, then the plane would intersect the pyramid vertically. The resulting cross section would be a trapezoid.