Which types of polygons are the faces of a tetrahedron?A.Regular hexagonsB.Equilateral trianglesC.SquaresD.Regular pentagons

Identifying the Faces of a Tetrahedron

1. Understanding the Structure of a Tetrahedron: A tetrahedron is a three-dimensional geometric figure consisting of four triangular faces. Each of these faces is a triangle that meets at vertices.

2. Assessing the Options:

   • A. Regular hexagons: A hexagon has six sides and does not match the triangular structure of a tetrahedron.
   • B. Equilateral triangles: An equilateral triangle has three equal sides and angles, making it the exact type of face present in a tetrahedron.
   • C. Squares: A square has four equal sides and angles, which does not correspond to the triangular faces of a tetrahedron.
   • D. Regular pentagons: A pentagon has five sides, which also does not fit the triangular configuration of a tetrahedron.

3. Conclusion: From the assessment of the options, the only relevant type of polygon that constitutes the faces of a tetrahedron is equilateral triangles.

Final Answer

B. Equilateral triangles are the faces of a tetrahedron.