Which of the following combinations of regular polygons will tessellate?
A)2 squares, 2 triangles
B)2 pentagons, 1 square
C)2 octagons, 1 triangle
D)3 hexagons

Question

Quizplus · Accepted Answer

To tessellate a plane with regular polygons, the sum of the angles around each point must equal 360 degrees. Only regular hexagons have angles that add up to 360 degrees, so any combination of regular hexagons will tessellate the plane. Choice D has 3 hexagons, so it will tessellate. A, B, and C do not have enough hexagons and their other polygons will not tessellate with each other.

Which of the Following Combinations of Regular Polygons Will Tessellate