# What shape has a rotational symmetry of order 4?

## What shape has a rotational symmetry of order 4?

Square

Square. A square has four lines of symmetry. It has rotational symmetry of order four.

**Does the number 4 have rotational symmetry?**

Each 90 degrees rotation of a square will return the original square, so a square has an order of rotational symmetry of 4. Notice that 4 times 90 degrees = 360 degrees.

### What shape has a rotational symmetry of order 5?

Total Order of Symmetry

Shape | Axes of symmetry | Order of rotational symmetry |
---|---|---|

Rectangle | 2 | 2 |

Square | 4 | 4 |

Regular pentagon | 5 | 5 |

Regular hexagon | 6 | 6 |

**Does a 5 have rotational symmetry?**

Yes, a 5-point star has rotational symmetry. A 5-point star is a two-dimensional polygon in the shape of a star with five points, or tips.

## How many rotational symmetry does a kite have?

Order 1Kite / Rotational symmetry

**Does a rhombus have rotational symmetry?**

Order 2Rhombus / Rotational symmetry

### What shapes have a rotational symmetry of 3?

The equilateral triangle will match three times in rotating (turning) around its center. So it has rotational symmetry of Order 3.

**What is rotational symmetry Order 3?**

A shape has Rotational Symmetry when it still looks the same after some rotation. As we rotate this image we find three different positions that each look the same. So it has Rotational Symmetry of Order 3.

## What shape has 4 sides and 1 line of symmetry?

Kite. A kite is a quadrilateral with one axis of line symmetry.

**What is the Order of rotational symmetry?**

The order of rotational symmetry (or degree of rotational symmetry) is the number of times an object looks the same when it is rotated a full turn of 360°. The shape must look as though it has not rotated at all.

### What is the smallest order of symmetry a shape can have?

The smallest order of rotational symmetry a shape can have is 1. This is because all shapes must look the same when rotated a full turn to their original position. A shape with no rotational symmetry has rotational symmetry order 1.

**What is the rotational symmetry of a regular 5-point star?**

A regular 5-point star. We say that the star has rotational symmetry of order ({5}). If a shape only fits into itself once, it has no rotational symmetry. We also state that it has rotational symmetry of order 1.

## What is the rotational symmetry of the Red Dot?

Keep an eye on the red dot as the star rotates clockwise. We say that the star has rotational symmetry of order . If a shape only fits into itself once, it has no rotational symmetry. We also state that it has rotational symmetry of order 1.