this image has rotational symmetry. what is the smallest number of degrees you need to rotate the image for…

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

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

Answer

Explanation:

Step1: Recall rotational - symmetry concept

The full rotation is 360 degrees. For an object with rotational symmetry, we find the smallest angle of rotation by dividing 360 by the number of times the object looks the same in a full - rotation. A football has 2 - fold rotational symmetry.

Step2: Calculate the angle

We divide 360 by 2. The formula is $\theta=\frac{360}{n}$, where $n = 2$ (the order of rotational symmetry). So, $\theta=\frac{360}{2}=180$.

Answer:

180