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.

Question

Mathematics

Villa

16 February, 00:23

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.

+2

Answers (1)

Know the Answer?

Maxim Bolton · Answer 1

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.