Which types of polygons are the faces of a tetrahedron?A.SquaresB.Regular hexagonsC.Equilateral trianglesD.Regular pentagons

Break Down the Problem

1. Identify the types of polygons listed in the options.
2. Understand the structure of a tetrahedron, which is a three-dimensional shape.

Relevant Concepts

1. A tetrahedron has 4 triangular faces.
2. The definition of the types of polygons given: squares, regular hexagons, equilateral triangles, and regular pentagons.

Analysis and Detail

1. Squares: A square has four equal sides and four right angles; this cannot be a face of a tetrahedron.
2. Regular Hexagons: A regular hexagon has six equal sides and angles; it is not a face of a tetrahedron.
3. Equilateral Triangles: An equilateral triangle has three equal sides and angles. Since a tetrahedron consists of four triangular faces, this type fits perfectly.
4. Regular Pentagons: A regular pentagon has five equal sides and angles; this does not form the face of a tetrahedron.

Verify and Summarize

Only equilateral triangles can form the faces of a tetrahedron, as it is composed solely of triangular shapes.

Final Answer

The faces of a tetrahedron are C. Equilateral triangles.