Angle of Rotational Symmetry
The angle of rotational symmetry refers to the smallest angle through which a shape can be rotated while retaining its original appearance. It represents the minimum angle required to bring the shape back to its initial orientation through repeated rotations.
For example, if a shape aligns perfectly after a 120° rotation, then 120° is its angle of rotational symmetry. This angle signifies how the shape repeats its appearance under rotation.
Rotational Symmetry
Rotational Symmetry of various geometric shapes tells how many times a shape aligns to its original position when it is rotated 360 degrees. Various figures having rotational symmetry are Square, Circle, Rectangle, Equilateral Triangle, and others.
Symmetry refers to the balanced likeness and proportion between two halves of an object, where one side mirrors the other. Conversely, asymmetry denotes a lack of this balance. Symmetry manifests in nature, architecture, and art, and can be observed through flipping, sliding, or rotating objects. Different types of symmetry include :
- Reflection
- Translational
- Rotational
Table of Content
- Rotational Symmetry Definition
- Examples of Rotational Symmetry
- Rotational Symmetry of a Parallelogram
- Rotational Symmetry of a Rectangle
- Rotational Symmetry of a Square
- Order of Rotational Symmetry of Square
- Rotational Symmetry of a Rhombus
- Rotational Symmetry of a Pentagon
- Rotational Symmetry of a Hexagon
- Rotational Symmetry of an Equilateral Triangle
- Triangle Rotational Symmetry
- Center of Rotation
- Angle of Rotational Symmetry
- Order of Rotational Symmetry
- Rotational Symmetry Letters
- Solved Examples on Rotational Symmetry
- Practice Problems on Rotational Symmetry