FTCE Professional Education Practice Exam

What shape is defined as a four-sided space triangle with triangular faces?

1. A tetrahedron

2. A cone

3. A pyramid

4. A cylinder

The correct answer is: A tetrahedron

The correct answer is a tetrahedron, which is a type of polyhedron that has four triangular faces, six edges, and four vertices. It is one of the simplest three-dimensional shapes in geometry. Each face of the tetrahedron is a triangle, and all four faces together form a closed three-dimensional figure. The other options do not fit the description provided. A cone has a circular base and a single vertex, with a curved surface that connects the base to the vertex. A pyramid, while it does have triangular faces, typically has a polygonal base (not specifically a triangular one) and can vary in the number of sides of the base. A cylinder consists of two parallel circular bases connected by a curved surface, which does not align with the characteristics of a shape defined by triangular faces. Thus, the tetrahedron is the only shape among the choices that meets the criteria of a four-sided space triangle with triangular faces.