Question

The only three regular polygons that tessellate are _____ equilateral triangles, squares, and regular hexagons. squares, regular hexagons, and regular octagons. squares, regular pentagons, and regular hexagons. equilateral triangles, squares, and regular pentagons.

Answer 1

equilateral triangles, squares, and regular hexagons

Answer 2

The equilateral triangles, squares, and regular hexagons tessellate.

Explanation:

Tessellation means when a plane surface is covered with a single shape, without gaps or overlapping the shape.

If the shape is equal from all sides, it will fit together when it is repeated. This is the reason only regular polygons tessellate. When we translate or slide any regular polygon, the sides of both the original and translated shape will be equal.

This is the reason, equilateral triangles, squares, and regular hexagons tessellate.