
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]
Regular quadrilateral
Square | |
---|---|
![]() A regular quadrilateral | |
Type | Regular polygon |
Edges and vertices | 4 |
Schläfli symbol | {4} |
Coxeter–Dynkin diagrams | ![]() ![]() ![]() ![]() ![]() ![]() |
Symmetry group | Dihedral (D4), order 2×4 |
Internal angle (degrees) | 90° |
Properties | Convex, cyclic, equilateral, isogonal, isotoxal |
Dual polygon | Self |