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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 Rectanglen.PNG ABCD.

Quick facts: Rectangle, Type, Edges and vertices, Schläfli...
Typequadrilateral, trapezium, parallelogram, orthotope
Edges and vertices4
Schläfli symbol{ } × { }
Coxeter–Dynkin diagramsCDel_node_1.pngCDel_2.pngCDel_node_1.png
Symmetry groupDihedral (D2), [2], (*22), order 4
Propertiesconvex, isogonal, cyclic Opposite angles and sides are congruent
Dual polygonrhombus

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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