Question

which figures have rotation symmetry? select each correct answer.

Explanation:

Step1: Recall rotation - symmetry definition

A figure has rotation symmetry if it can be rotated by an angle less than 360° about a point and still look the same.

Step2: Analyze the first - left figure

The first - left figure (two non - congruent semi - circles) does not have rotation symmetry. No non - zero rotation less than 360° will make it look the same.

Step3: Analyze the second - left figure

The second - left figure (a non - symmetric sector) does not have rotation symmetry. No non - zero rotation less than 360° will make it look the same.

Step4: Analyze the first - right figure

The first - right figure (a figure made of two heart - like shapes) has rotation symmetry. A 180° rotation about its center will make it look the same.

Step5: Analyze the second - right figure

The second - right figure (a cross - like shape) has rotation symmetry. A 90° rotation about its center will make it look the same.

Answer:

The figure on the top - right and the figure on the bottom - right have rotation symmetry.