# Square

## Regular quadrilateral / From Wikipedia, the free encyclopedia

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This article is about the polygon. For other uses, see Square (disambiguation).

In Euclidean geometry, a **square** is a regular quadrilateral, which means that it has four sides of equal length and four equal angles (90-degree angles, π/2 radian angles, or right angles). It can also be defined as a rectangle with two equal-length adjacent sides. It is the only regular polygon whose internal angle, central angle, and external angle are all equal (90°), and whose diagonals are all equal in length. A square with vertices *ABCD* would be denoted $\square$ *ABCD*.^{[1]}

**Quick Facts**Type, Edges and vertices ...

Square | |
---|---|

Type | Regular polygon |

Edges and vertices | 4 |

Schläfli symbol | {4} |

Coxeter–Dynkin diagrams | |

Symmetry group | Dihedral (D_{4}), order 2×4 |

Internal angle (degrees) | 90° |

Properties | Convex, cyclic, equilateral, isogonal, isotoxal |

Dual polygon | Self |

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