FTCE Professional Education Practice Exam

What defines a cylinder in geometry?

1. A space figure that has two parallel, congruent circular bases

2. A solid figure with a square base and triangular sides

3. A three-dimensional figure with a single vertex

4. A figure where all points are equidistant from the center

The correct answer is: A space figure that has two parallel, congruent circular bases

A cylinder in geometry is defined as a space figure that possesses two parallel and congruent circular bases. This definition highlights the essential characteristics of a cylinder: the circular bases provide the shape's distinct sections, while being parallel ensures that they maintain a consistent distance apart throughout the height of the cylinder. The curved surface connecting these bases further distinguishes the cylinder from other geometric figures. The other options describe different geometric shapes that do not align with the properties of a cylinder. A shape with a square base and triangular sides refers to a pyramid, which has a different structure entirely. A three-dimensional figure with a single vertex describes a cone, which converges at a point rather than maintaining two parallel bases. Lastly, a figure where all points are equidistant from the center describes a sphere, which does not have any bases or flat surfaces. This clarity regarding the features of a cylinder solidifies the understanding of its definition in geometry.