Given the intersection of a pyramid and a plane with a trapezoidal cross section. Which option is true about the plane of intersection?

The pyramid is cut with a plane parallel to the base.

The pyramid is cut with a plane passing through the top vertex and perpendicular to the base.

The pyramid is cut with a plane perpendicular to the base, but not through the top vertex.

The pyramid is cut with a plane passing through the top vertex and not perpendicular to the base.

Question

Mathematics

Gray

29 April, 11:44

Given the intersection of a pyramid and a plane with a trapezoidal cross section. Which option is true about the plane of intersection?

The pyramid is cut with a plane parallel to the base.

The pyramid is cut with a plane passing through the top vertex and perpendicular to the base.

The pyramid is cut with a plane perpendicular to the base, but not through the top vertex.

The pyramid is cut with a plane passing through the top vertex and not perpendicular to the base.

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Answers (1)

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Kadin Hamilton · Answer 1

If the pyramid is cut with a plane (green) parallel to the base, the intersection of the pyramid and the plane is a square cross section (red). If the pyramid is cut with a plane (green) passing through the top vertex and perpendicular to the base, the intersection of the pyramid and the plane is a triangular cross section (red). If the pyramid is cut with a plane (green) perpendicular to the base, but not through the top vertex, the intersection of the pyramid and the plane is a trapezoidal cross section (red).