# What is meant by rotational symmetry?

Table of Contents

## What is meant by rotational symmetry?

Rotational symmetry, also known as radial symmetry in biology, is the property a shape has when it looks the same after some rotation by a partial turn. An object’s degree of rotational symmetry is the number of distinct orientations in which it looks exactly the same for each rotation.

## What is the meaning of order of rotation?

The number of times a figure fits into itself in one complete rotation is called the order of rotational symmetry. If A° is the smallest angle by which a figure is rotated so that rotated from fits onto the original form, then the order of rotational symmetry is given by 360°A°, [A° < 180°]

## What is the meaning of rotational symmetry of order 2?

We say that this shape has got rotational symmetry of order 2. ( That just means that there are two positions in which it looks exactly the same. Here is a letter with rotational order of two.

## What is the angle of rotational symmetry for a shape with an order of 5?

72°

## What shape has the highest order of rotational symmetry?

A rectangle has order of rotational symmetry of 2. 180° and 360° rotations will map it onto itself. A regular hexagon has order of rotational symmetry of 6.

## What is the order of rotational symmetry of rectangle?

Order 2

## What is the other name of isosceles triangle?

The difference between these two definitions is that the modern version makes equilateral triangles (with three equal sides) a special case of isosceles triangles. A triangle that is not isosceles (having three unequal sides) is called scalene. “Isosceles” is made from the Greek roots “isos” (equal) and “skelos” (leg).

## Can we have a rotational symmetry?

Yes, if a figure has two or more lines of symmetry, then it will definitely have its rotational symmetry of order more than 1.

## Can we have a rotational symmetry of order more than one whose angle of rotation is 45?

It can be observed that if the angle of rotation of a figure is a factor of 360°, then it will have a rotational symmetry of order more than 1. (a) It can be checked that 45° is a factor of 360°. Therefore, the figure having its angle of rotation as 45° will have its rotational symmetry of order more than 1.