)) Terrell built a 3-dimensional figure that had 4 vertices and 6 edges. Which figure could Terrell have built?

Answer 1

To determine which figure Terrell could have built, we need to consider the requirements for a 3-dimensional figure to have 4 vertices and 6 edges.

In a 3-dimensional figure, a vertex is a point where three or more edges meet. For a figure to have 4 vertices, it means that there are only 4 points where three or more edges meet.

Now, let's consider the edges. An edge is a line segment connecting two vertices. For a figure to have 6 edges, it means that there are only 6 line segments connecting the vertices.

Given that there are 4 vertices and 6 edges, the only figure that satisfies these conditions is a tetrahedron.

A tetrahedron is a 3-dimensional figure with four triangular faces, four vertices, and six edges. Each vertex connects to three edges, and each edge connects to two vertices.

Therefore, Terrell could have built a tetrahedron.