# Rectangle

## Quadrilateral with four right angles / From Wikipedia, the free encyclopedia

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In Euclidean plane geometry, a **rectangle** is a quadrilateral with four right angles. It can also be defined as: an equiangular quadrilateral, since equiangular means that all of its angles are equal (360°/4 = 90°); or a parallelogram containing a right angle. A rectangle with four sides of equal length is a *square*. The term "oblong" is occasionally used to refer to a non-square rectangle.[1][2][3] A rectangle with vertices *ABCD* would be denoted as *ABCD*.

**Quick facts: Rectangle, Type, Edges and vertices, Schläfli...**▼

Rectangle | |
---|---|

Type | quadrilateral, trapezium, parallelogram, orthotope |

Edges and vertices | 4 |

Schläfli symbol | { } × { } |

Coxeter–Dynkin diagrams | |

Symmetry group | Dihedral (D_{2}), [2], (*22), order 4 |

Properties | convex, isogonal, cyclic Opposite angles and sides are congruent |

Dual polygon | rhombus |

The word rectangle comes from the Latin *rectangulus*, which is a combination of *rectus* (as an adjective, right, proper) and *angulus* (angle).

A **crossed rectangle** is a crossed (self-intersecting) quadrilateral which consists of two opposite sides of a rectangle along with the two diagonals[4] (therefore only two sides are parallel). It is a special case of an antiparallelogram, and its angles are not right angles and not all equal, though opposite angles are equal. Other geometries, such as spherical, elliptic, and hyperbolic, have so-called rectangles with opposite sides equal in length and equal angles that are not right angles.

Rectangles are involved in many tiling problems, such as tiling the plane by rectangles or tiling a rectangle by polygons.

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