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Square

Regular quadrilateral / From Wikipedia, the free encyclopedia

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In Euclidean geometry, a square is a regular quadrilateral, which means that it has four equal sides 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 ABCD.[1]

Quick facts: Square, Type, Edges and vertices, Schläfli sy...
Square
Regular_polygon_4_annotated.svg
A regular quadrilateral
TypeRegular polygon
Edges and vertices4
Schläfli symbol{4}
Coxeter–Dynkin diagramsCDel_node_1.pngCDel_4.pngCDel_node.png
CDel_node_1.pngCDel_2.pngCDel_node_1.png
Symmetry groupDihedral (D4), order 2×4
Internal angle (degrees)90°
PropertiesConvex, cyclic, equilateral, isogonal, isotoxal
Dual polygonSelf
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