Practice Problems on Rotational Symmetry
Problem 1: Identify shapes exhibiting rotational symmetry and specify the degrees of rotation maintaining their original appearance.
- Pentagon
- Rectangle
- Regular Octagon
- Parallelogram
Problem 2: Sketch a shape possessing exactly two lines of rotational symmetry?
Problem 3: Determine the angle of rotation for a regular heptagon (7-sided polygon) to retain its original appearance?
Problem 4: Identify English alphabet letters displaying rotational symmetry. List the identified letters?
Problem 5: Given an irregular shape, ascertain if it demonstrates any rotational symmetry. Describe the degrees of rotation where it maintains its original appearance if applicable?
Problem 6: Illustrate a shape exhibiting more than eight lines of rotational symmetry?
Problem 7: For a shape demonstrating rotational symmetry, with an angle of rotation set at 45 degrees calculate the number of positions it occupies in a complete rotation (360 degrees)?
Problem 8: Determine the validity of the statement: “All regular polygons possess rotational symmetry”?
Problem 9: Construct a shape showcasing both rotational and reflectional symmetry?
Problem 10: Find the minimum number of lines of symmetry necessary for a shape to also possess rotational symmetry?
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