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 the shape

The given shape (peanut - like) is symmetric about a 180 - degree rotation. A 180 - degree rotation will map the shape onto itself because the shape is symmetric with respect to a half - turn. If we rotate it by 180 degrees, the left - hand side will coincide with the right - hand side and vice - versa. Rotating it by a smaller angle (e.g., 90 degrees) will not make it look the same as the original shape.

Step2: Determine the smallest rotation

Since the shape is symmetric under a 180 - degree rotation and no smaller non - zero angle of rotation will make it look the same, the smallest number of degrees of rotation is 180.

Answer:

180