A square is the regularPlanetmathPlanetmathPlanetmath 4-gon, that is, a quadrilateralMathworldPlanetmath whose 4 angles and 4 sides are respectively equal. Each angle of a square must be a right angleMathworldPlanetmathPlanetmath. This implies a square is a parallelogramMathworldPlanetmath that is both a rhombusMathworldPlanetmath and a rectangleMathworldPlanetmath at the same time.

Notice, however, that if a quadrilateral has its 4 sides equal, we cannot generally say it is a square, since it might be a rhombus as well.

If r is the length of a side, the diagonals of a square (which are equal since it’s a rectangle too) have length r2.

Title square
Canonical name Square
Date of creation 2013-03-22 12:02:32
Last modified on 2013-03-22 12:02:32
Owner drini (3)
Last modified by drini (3)
Numerical id 7
Author drini (3)
Entry type Definition
Classification msc 51-00
Related topic Quadrilateral
Related topic Parallelogram
Related topic Rectangle
Related topic Rhombus
Related topic ParallelogramLaw
Related topic RegularPolygon