Examples of Rotational Symmetry
Rotational Symmetry of various figures are added in the article below,
Rotational Symmetry of a Parallelogram
A parallelogram may demonstrate rotational symmetry if it can be rotated about its center by a certain angle and still maintain its original appearance. This property is often evident in parallelograms with congruent angles and side lengths, such as rectangles or rhombuses.
Rotational Symmetry of a Rectangle
A rectangle possesses rotational symmetry of order 2. This means it aligns with its original position after being rotated by 180 degrees around its center due to its equal side lengths and congruent angles.
Rotational Symmetry of a Square
A square displays rotational symmetry of order 4. It aligns perfectly with its original position after being rotated by 90 degrees successively four times around its center due to its equal side lengths and congruent angles.
Order of Rotational Symmetry of Square
The order of rotational symmetry in a square is 4, implying it has four positions (90, 180, 270, and 360 degrees) where it coincides with its initial orientation.
Rotational Symmetry of a Rhombus
A rhombus typically has rotational symmetry of order 2 but may possess higher-order symmetry depending on its angles. It can align with its original position after a 180-degree rotation around its center.
Rotational Symmetry of a Pentagon
A regular pentagon exhibits rotational symmetry of order 5. It can be rotated by 72 degrees successively five times about its center and still coincide with its initial orientation.
Rotational Symmetry of a Hexagon
A regular hexagon demonstrates rotational symmetry of order 6. It can be rotated by 60 degrees successively six times about its center and maintain its original appearance.
Rotational Symmetry of an Equilateral Triangle
An equilateral triangle shows rotational symmetry of order 3. It aligns with its original position after being rotated by 120 degrees successively three times around its center due to its congruent sides and angles.
Triangle Rotational Symmetry
Rotational symmetry in triangles varies by type. Equilateral triangles possess rotational symmetry due to their equal sides and angles, while isosceles and scalene triangles typically lack this property. Equilateral triangles specifically demonstrate rotational symmetry of order 3, aligning with their original position after a 120-degree 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