Fraternity Manuals

Square (geometry)

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Image:SQUARE SHAPE.svg

In plane geometry, a square is a polygon with four equal sides and equal angles. Those angles are then necessarily right angles. Squares are regular quadrilaterals, rectangles, rhombi, kites, parallelograms, and isosceles trapezoids/isosceles trapezia.

The diagonals of a square are equal and conversely, if the diagonals of a rhombus are proven to be equal, then that rhombus must be a square.

The coordinates for the vertices of a square centered at the origin and with side length 2 are (±1, ±1), while the interior of the same consists of all points (x0, x1) with -1 < xi < 1.

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ar:مربع bg:Квадрат da:Kvadrat de:Quadrat (Geometrie) et:Ruut es:Cuadrado eo:Kvadrato (geometrio) fr:Carré gl:Cadrado ko:정사각형 io:Quadrato it:Quadrato (geometria) he:ריבוע (גאומטריה) lt:Kvadratas li:Veerkant nl:Vierkant (meetkunde) ja:正方形 no:Kvadrat nn:Kvadrat pl:Kwadrat (geometria) pt:Quadrado ru:Квадрат sco:Squerr simple:Square sk:Štvorec sl:Kvadrat (geometrija) sr:Квадрат fi:Neliö sv:Kvadrat th:รูปสี่เหลี่ยมจัตุรัส vi:Hình vuông zh:正方形

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