Which regular polygon will tessellate on its own forming a regular tessellation?

Select all that apply.

pentagon
square
circle
triangle
hexagon

Question

Which regular polygon will tessellate on its own forming a regular tessellation?

Select all that apply.

pentagon
square
circle
triangle
hexagon

GPT-5 mini · Answer

Triangle, square, hexagon.

Reason: A regular n-gon's interior angle is 180 - 360/n. For a regular tessellation that angle must evenly divide 360°. Only n = 3 (60°), n = 4 (90°) and n = 6 (120°) work. Pentagons (108°) do not divide 360, and circles are not polygons and cannot tile the plane without gaps or overlaps.

Which regular polygon will tessellate on its own forming a regular tessellation?

Select all that apply.

pentagon
square
circle
triangle
hexagon

All Answers 1

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Which regular polygon will tessellate on its own forming a regular tessellation? Select all that apply. pentagon square circle triangle hexagon

All Answers 1