Task 1. Match the concepts:
| Polyhedron - is a geometric body... | limited by triangles. |
| Parallelepiped - is a body, ... | limited by squares. |
| Tetrahedron - is a body, ... | limited on all sides by flat polygons. |
| Cube - is a body, ... | limited by rectangles. |
Explanation:
- A polyhedron is a solid bounded by flat faces (polygons).
- A parallelepiped is a polyhedron whose faces are all parallelograms. A special case is a rectangular parallelepiped where all faces are rectangles.
- A cube is a special type of rectangular parallelepiped where all faces are squares.
- A tetrahedron is a polyhedron composed of four triangular faces.
Therefore, the correct matches are:
- Polyhedron - limited on all sides by flat polygons.
- Parallelepiped - limited by rectangles (specifically, a rectangular parallelepiped).
- Tetrahedron - limited by triangles.
- Cube - limited by squares.
Answer:
- Polyhedron - limited on all sides by flat polygons.
- Parallelepiped - limited by rectangles.
- Tetrahedron - limited by triangles.
- Cube - limited by squares.