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: Identify the order of rotational symmetry

The image can be rotated 2 times to look the same (a half - turn will make it identical).

Step2: Calculate the angle of rotation

The full - turn is 360 degrees. For an object with an order of rotational symmetry \(n\), the angle of rotation \(\theta=\frac{360}{n}\). Here \(n = 2\). So \(\theta=\frac{360}{2}\).

Answer:

180