##### Asked by: Victoria Klaage

asked in category: General Last Updated: 27th January, 2020# How much rotational symmetry does a square have?

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

Rectangle | 2 | 2 |

Square | 4 | 4 |

Regular pentagon | 5 | 5 |

Regular hexagon | 6 | 6 |

Considering this, how many rotational symmetry does a square have?

Order 4

Additionally, does a square have rotational symmetry of order 2? Example of **rotational symmetry of order 2** The first time we got the original image, we got it with a **rotation** of 180 degrees and the second time, we got it with a **rotation** of 360 degrees. Since we were able to return the original shape **2** times, the rectangle **has rotational symmetry of order 2**.

Regarding this, does a square have 90 degree rotational symmetry?

Yes, a **square can** be rotated egin{align*}**90**^circend{align*} counterclockwise (or clockwise) about its center and the image **will** be indistinguishable from the original **square**.

What is the symmetry of square?

The Schläfli symbol for the **square** is {4}. The **square** is a highly **symmetric** object. There are four lines of reflectional **symmetry** and it has rotational **symmetry** of order 4 (through 90°, 180° and 270°). Its **symmetry** group is the dihedral group D_{4}.