Question

1. which shape naturally tessellates?

a. square
b. nonagon
c. circle
d. pentagon

Explanation:

A square can tessellate because its interior angles are \(90^{\circ}\), and \(360\div90 = 4\). A nonagon's interior angle is \(\frac{(9 - 2)\times180^{\circ}}{9}=140^{\circ}\), and \(360\div140\) is not an integer. A circle has no angles and cannot tessellate. A regular pentagon's interior angle is \(\frac{(5 - 2)\times180^{\circ}}{5} = 108^{\circ}\), and \(360\div108\) is not an integer.

Answer:

A. Square