Question

is the figure shown a prism or a pyramid? complete the explanation.
the figure shown is a (select) , the figure has (select) and (select)

Explanation:

Step1: Recall Definitions

A prism has two congruent, parallel polygonal bases connected by rectangular (or parallelogram) lateral faces. A pyramid has a single polygonal base and triangular lateral faces meeting at a vertex.

Step2: Analyze the Figure

The figure has two triangular (or polygonal) bases (since it's a triangular prism - the triangular faces are congruent and parallel) and rectangular lateral faces connecting them. It doesn't have a single base with triangular faces meeting at a vertex. So it's a prism. The prism has two congruent (parallel) triangular bases and rectangular lateral faces.

Answer:

The figure shown is a prism. The figure has two congruent (parallel) triangular bases and rectangular lateral faces (or: two congruent parallel bases and rectangular side faces).