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 shape

The image is a square (since it has a 3x3 grid of squares, and the outer shape is square - like). For a square, the rotational symmetry order is 4 (it looks the same when rotated by 90°, 180°, 270°, 360°).

Step2: Calculate the smallest rotation angle

The formula for the smallest angle of rotational symmetry for a regular polygon with \(n\) sides is \(\frac{360^{\circ}}{n}\). For a square, \(n = 4\), so \(\frac{360^{\circ}}{4}=90^{\circ}\).

Answer:

\(90\)