Rotational Symmetry
What is Rotational Symmetry?
Rotational symmetry refers to the property of a shape or figure that remains unchanged in appearance after being rotated around a fixed central point. When the figure is rotated by a certain angle (usually less than 360 degrees), it aligns perfectly with its original form.
What is Difference Between Rotational Symmetry and Line Symmetry?
Rotational symmetry involves a figure rotating around a central point and retaining its appearance at specific intervals of rotation. Line symmetry (or reflectional symmetry) occurs when a figure reflects over a line and its halves match perfectly.
Can a Shape have both Rotational and Line Symmetry?
Yes, some shapes possess both rotational and line symmetry. For instance, a regular hexagon has both Rotational Symmetry and Line Symmetry.
What is Center of Rotation?
Center of Rotation is a fixed point around which an object rotates during a transformation.
What is Angle of Rotational Symmetry?
Angle of Rotational Symmetry refers to the smallest angle by which a shape or figure can be rotated and still coincide with its original position.
What is Order of Rotational Symmetry?
Order of Rotational Symmetry denotes how many times a shape aligns with its original position during a full 360-degree rotation.
Which Letters Exhibit Rotational Symmetry?
Various letters that exhibit Rotational Symmetry are Z, H, S, N and O.
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