Question

which angle of rotation is an angle of rotational symmetry for all figures? 45° 90° 180° 360°

Explanation:

Step1: Understand rotational symmetry

Rotational symmetry is when a figure looks the same after a rotation.

Step2: Analyze each angle

• For 45°: Not all figures (e.g., a non - octagonal figure) have 45° rotational symmetry.
• For 90°: Not all figures (e.g., a non - square, non - rectangle with right angles only in specific cases) have 90° rotational symmetry.
• For 180°: Not all figures (e.g., an equilateral triangle) have 180° rotational symmetry.
• For 360°: Every figure, when rotated 360°, will map onto itself. So 360° is an angle of rotational symmetry for all figures.

Answer:

360°