You cannot tessellate six-sided regular polygons by themselves.A.TrueB.FalseSUBMITarrow_backPREVIOUS

The statement that you cannot tessellate six-sided regular polygons (hexagons) by themselves is False.

Explanation:

1. Definition of Tessellation: Tessellation refers to the covering of a plane with one or more geometric shapes, called tiles, with no overlaps and no gaps.

2. Hexagonal Tessellation: Regular hexagons can tessellate the plane by fitting together perfectly. When you place hexagons next to each other, each angle and edge aligns perfectly with its neighbors.

3. Mathematical Validation: A regular hexagon has internal angles of $120^\circ$. Since $360^\circ$ can be divided by $120^\circ$ to fit exactly three hexagons around a point, it validates their ability to tessellate.

4. Visual Example: A common honeycomb structure is based on hexagonal tessellation, demonstrating practical and efficient tiling in nature.

Therefore, the correct answer is B. False.