Question

this image has rotational symmetry. what is the smallest number of degrees you need to rotate the image for it to look the same?

Explanation:

Step1: Analyze rotational symmetry

The image (a tomato slice - like shape with two symmetric parts) has rotational symmetry. A full rotation is \(360^\circ\). For a shape with two identical parts (like this, top and bottom symmetric), the smallest rotation to map onto itself is when we rotate by half of \(360^\circ\).

Step2: Calculate the angle

The formula for the smallest rotational symmetry angle for a shape with \(n\) - fold symmetry is \(\frac{360^\circ}{n}\). Here, \(n = 2\) (since there are two identical parts). So, \(\frac{360^\circ}{2}=180^\circ\).

Answer:

\(180\)