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 symmetric rotations

A full rotation is $360^\circ$. The domino is symmetric top-bottom and left-right. Rotating it $180^\circ$ maps each dot to a matching dot position.

Step2: Check smaller angles

Rotations less than $180^\circ$ (e.g., $90^\circ$, $120^\circ$) will not align the dots to make the image identical.

Answer:

$180$