Square
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.
| 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 |
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