Question

which shape naturally tessellates? a. nonagon b. square c. pentagon d. circle

Explanation:

A tessellation is a pattern made by repeating a shape without any gaps or overlaps.

• A nonagon: The interior angle of a regular nonagon is \(140^{\circ}\), and \(360\div140=\frac{18}{7}\), not an integer. So nonagons do not tessellate.
• A square: The interior angle of a square is \(90^{\circ}\), and \(360\div90 = 4\). So squares can tessellate.
• A pentagon: The interior angle of a regular pentagon is \(108^{\circ}\), and \(360\div108=\frac{10}{3}\), not an integer. So regular pentagons do not tessellate (there are some irregular pentagons that can tessellate, but the question says "naturally" which implies regular in a basic - geometry - multiple - choice context).
• A circle: Circles have no straight edges and when placed together, there are gaps between them. So circles do not tessellate.

Answer:

B. Square