Difference between revisions of "Square (geometry)"
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− | A '''square''' is [[quadrilateral]] in which all [[edge|sides]] have equal length and all [[angle | angles]] are [[right angle]]s. | + | A '''square''' is a [[quadrilateral]] in which all [[edge|sides]] have equal length and all [[angle | angles]] are [[right angle]]s. |
− | Equivalently, | + | <asy> |
+ | import markers; | ||
+ | pair A, B, C, D; | ||
+ | |||
+ | A = (-1, 1); | ||
+ | B = (1, 1); | ||
+ | C = (1, -1); | ||
+ | D = (-1, -1); | ||
+ | |||
+ | draw(A--B--C--D--cycle); | ||
+ | draw(rightanglemark(A, B, C)); | ||
+ | draw(rightanglemark(B, C, D)); | ||
+ | draw(rightanglemark(C, D, A)); | ||
+ | draw(rightanglemark(D, A, B)); | ||
+ | draw(A--B--C--D--cycle, StickIntervalMarker(4)); | ||
+ | </asy> | ||
+ | |||
+ | Equivalently, all squares are the [[regular polygon|regular]] quadrilaterals. | ||
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[[Category:Definition]] | [[Category:Definition]] | ||
+ | |||
+ | {{stub}} |
Latest revision as of 17:31, 3 September 2024
A square is a quadrilateral in which all sides have equal length and all angles are right angles.
Equivalently, all squares are the regular quadrilaterals.
Introductory
Area
The area of a square can be found by squaring the square's side length: the area of a square with side length is .
Perimeter
The perimeter of a square can be found by multiplying the square's side length by four - .
Diagonal
The length of either diagonal of a square can be obtained by the Pythagorean theorem.
See Also
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