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 number of petals

The flower image has 5 petals.

Step2: Calculate the rotational symmetry angle

For a figure with \( n \) equal - sized rotational symmetry parts, the smallest angle of rotation (denoted as \( \theta \)) that makes the figure look the same is given by the formula \( \theta=\frac{360^{\circ}}{n} \). Here, \( n = 5 \), so \( \theta=\frac{360^{\circ}}{5}=72^{\circ} \).

Answer:

\( 72 \)