To match the given definitions to the correct geometric terms, let's explain each one and see how it fits with the words cylinder, pyramid, and prism.
1. Cylinder:
- Definition F: "a solid figure with two parallel, congruent circular bases."
- This definition describes a cylinder perfectly because a cylinder is characterized by having two parallel and congruent circular bases connected by a curved surface.
- So, the correct match for a cylinder is F.
2. Pyramid:
- Definition C: "a three-dimensional figure with a polygon base and triangle faces that meet at the top."
- This definition fits a pyramid because a pyramid has a base that is a polygon (e.g., triangle, square) and all other faces are triangles that converge to a single point at the top.
- So, the correct match for pyramid is C.
3. Prism:
- Definition E: "a three-dimensional solid with two parallel identical polygon bases and all other faces that are rectangles."
- This definition describes a prism, which has two parallel, identical bases (which can be any polygon) and the sides are typically rectangles.
- So, the correct match for prism is E.
Putting this all together, here is the completed table with the correct matches:
\begin{tabular}{|l|l|}
\hline
& A. any of the individual flat surfaces of a solid object \\
\hline
& B. a solid object with a circular base and one vertex \\
\hline
& \begin{tabular}{l}
C. a three-dimensional figure with a polygon base and triangle \\
faces that meet at the top
\end{tabular} \\
\hline
cylinder & \begin{tabular}{l}
D. a three-dimensional object whose surface is always \\
equidistant from its center
\end{tabular} \\
\hline
pyramid & \begin{tabular}{l}
E. a three-dimensional solid with two parallel identical polygon \\
bases and all other faces that are rectangles
\end{tabular} \\
\hline
prism & F. a solid figure with two parallel, congruent circular bases \\
\hline
\end{tabular}
