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

10-03-2015
Mathematics

Answered

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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.

Sagot :

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kmatras1 kmatras1 · Answer 1 · 2017-02-14T21:30:49-05:00

kmatras1 kmatras1

14-02-2017

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.

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