# Which Angle Of Rotation Is An Angle Of Rotational Symmetry For All Figures? 45° 90° 180° 360°

Find provocative inquiries about desires and aspirations What angle of rotational symmetry exists for all figures? 45° 90° 180° 360°. Think about your deepest wants to gain understanding of your own motivations. When a figure can be turned by an angle between 0° and 360° and still seem right, this is known as rotational symmetry. Learn the answers to questions on realizing your dreams, finding fulfillment, and growing personally. Participate in discussions that explore the complexities of aspirations and the means of achieving them. Join Words of Hope as we help you start your path of self-discovery and reveal the mysteries of your dreams!

When a figure maintains its appearance after being rotated by an angle between 0° and 360°, it is said to have rotational symmetry. The smallest angle that can accomplish this is the angle of rotational symmetry. For all figures, the only rotational symmetry angle is 360°, which puts the object back in its original place. The geometry of the figure determines any other rotational symmetry angle.

For instance, the rotational symmetry of a square about its center of rotation is of order 4. Consequently, the rotational angle is 90°. A square is a quadrilateral with internal angles that are all 90 degrees in length. According to the accompanying illustration, a square has a rotational symmetry order of 4, fitting into itself four times throughout a full 360° rotation.

### Angle Of Rotation Is An Angle Of Rotational Symmetry

In general, there are n rotational angles that provide rotational symmetry for each regular polygon with n sides. The formulas for these angles are 360°/n, 2360°/n, 3360°/n,…, and (n-1)360°/n.