A _____ is a solid consisting of a polygon, a point not in the same plane as the polygon, and all points between them.A.prismB.cubeC.triangleD.pyramid

Break Down the Problem

1. Identify the key components of the question: a solid shape, a polygon, a point not in the same plane as the polygon, and all points between them.
2. Analyze potential options given: prism, cube, triangle, and pyramid.

Relevant Concepts

1. A prism is a solid with two identical polygonal bases and rectangular faces connecting them.
2. A cube is a type of prism where all faces are squares.
3. A triangle is a two-dimensional shape and does not represent a solid.
4. A pyramid consists of a polygonal base and triangular faces that meet at a common point (the apex), which is not in the same plane as the base.

Analysis and Detail

1. Since the problem describes a solid with a base that is a polygon and a point (the apex) that is not coplanar with the base, this directly aligns with the definition of a pyramid.
2. The pyramid includes all points between the base and the apex, confirming that it fits the description.

Verify and Summarize

The only option that fits the definition provided (a solid consisting of a polygonal base and a point above the base) is the pyramid.

Final Answer

D. pyramid