FTCE Professional Education Practice Exam

In geometric terms, what is a prism?

1. A three-dimensional figure with a single vertex

2. A space figure with two congruent, parallel bases that are polygons

3. A shape that has a square base and triangular faces

4. A solid shape with all points equidistant from a center

The correct answer is: A space figure with two congruent, parallel bases that are polygons

A prism is defined as a three-dimensional geometric figure that has two congruent, parallel bases which are polygonal in shape. This definition is foundational in geometry as it highlights the key characteristics that distinguish prisms from other three-dimensional figures. The parallel bases mean that the top and bottom of the prism are identical in shape and size, while the sides, which connect the bases, are parallelograms. The congruency of the bases ensures that the prism is uniform along its height, allowing for easier calculations of volume and surface area. Understanding the structure of a prism is essential for recognizing its various applications in both theoretical and practical contexts, such as architecture, engineering, and art. The other options describe different types of shapes or figures that do not align with the standard definition of a prism.