Question

complete the following sentence.
the figure below has rotational symmetry.
° is the smallest possible rotation that results in the figure being mapped onto itself.

Explanation:

Step1: Recall the concept of rotational symmetry

Rotational symmetry of a figure is the property that the figure looks the same after a rotation of a certain number of degrees around its center.

Step2: Analyze the parallelogram

A parallelogram has rotational symmetry of order 2. The formula for the angle of rotation in rotational symmetry is \(\frac{360^{\circ}}{n}\), where \(n\) is the order of rotational symmetry. For a parallelogram, \(n = 2\).

$$ \frac{360^{\circ}}{2}=180^{\circ} $$

Answer:

\(180\)