Question

you must answer all questions above in order to submit. answer attempt 1 out of 3 is the smallest possible rotation that results in the figure being mapped onto itself.

Explanation:

Step1: Identify the number of rotational symmetries

The figure has 12 identical - looking parts. The order of rotational symmetry of a figure is the number of times it can be rotated onto itself in a full - 360° rotation.

Step2: Calculate the smallest rotation angle

The formula to find the smallest angle of rotation for a figure with \(n\) rotational symmetries is \(\theta=\frac{360^{\circ}}{n}\). Here, \(n = 12\).
So, \(\theta=\frac{360^{\circ}}{12}=30^{\circ}\)

Answer:

\(30^{\circ}\)