Question

describe the rotational symmetry or symmetries of the figure.
choose the correct answer below.
a. $120^circ$, $240^circ$
b. $90^circ$, $180^circ$, $270^circ$
c. $180^circ$
d. the figure does not have rotational symmetry.

Explanation:

To determine rotational symmetry, we check if rotating the figure by a certain angle maps it onto itself. The figure has two identical circular elements stacked vertically. Rotating it by \(180^\circ\) will make the top circle switch with the bottom circle, and the figure will look the same. Rotating by \(90^\circ\) or \(270^\circ\) would not align the figure, and \(120^\circ/240^\circ\) also don't work. So the rotational symmetry is \(180^\circ\).

Answer:

C. \(180^\circ\)