The tetrahedron can be constructed from the repetitive folding of _____.A.trianglesB.cubesC.parallelogramsD.squares

To determine which shape can be repetitively folded to construct a tetrahedron, we need to analyze the geometric properties of each option:

1. Triangles: A tetrahedron is a three-dimensional shape made up of four triangular faces. This aligns well with the idea of folding triangles to create a tetrahedron.

2. Cubes: Folding a cube would result in a complex structure that does not correspond to a tetrahedron. Cubes are six-faced structures and cannot be folded into a tetrahedron.

3. Parallelograms: While parallelograms can be used in various geometric constructions, they do not naturally lead to the creation of a tetrahedron when folded.

4. Squares: Similar to cubes, squares are two-dimensional shapes that do not directly relate to the formation of a tetrahedron through folding.

Conclusion

Based on the analysis, the correct answer is: A. triangles

Triangles are the fundamental shape from which a tetrahedron can be constructed through repetitive folding.