Difference between revisions of "Rectangle"
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| − | + | A '''rectangle''' is a [[quadrilateral]] in which all [[angle]]s are [[right angle]]s. | |
| + | |||
| + | <asy> | ||
| + | size(200); | ||
| + | pair A, B, C, D; | ||
| + | A = (-377,233); | ||
| + | B = (377,233); | ||
| + | C = (377,-233); | ||
| + | D = (-377,-233); | ||
| + | dot("$A$",A,1.5*dir(A),linewidth(4)); | ||
| + | dot("$B$",B,1.5*dir(B),linewidth(4)); | ||
| + | dot("$C$",C,1.5*dir(C),linewidth(4)); | ||
| + | dot("$D$",D,1.5*dir(D),linewidth(4)); | ||
| + | draw(A--B--C--D--cycle); | ||
| + | </asy> | ||
| − | + | Every rectangle is a [[parallelogram]] and so has all the properties of a parallelogram. In addition, rectangles have [[congruent (geometry)|congruent]] [[diagonal]]s. | |
[[Square (geometry) | Square]]s are the only rectangles which are also [[rhombus]]es. | [[Square (geometry) | Square]]s are the only rectangles which are also [[rhombus]]es. | ||
| + | |||
| + | All rectangles are [[cyclic quadrilaterals]]. | ||
| + | |||
| + | ==See Also== | ||
| + | |||
| + | [[Area]] | ||
| + | |||
| + | [[British Flag Theorem]] | ||
| + | |||
| + | [[Ptolemy's Theorem]] | ||
| + | |||
[[Category:Definition]] | [[Category:Definition]] | ||
| + | |||
| + | {{stub}} | ||
Latest revision as of 13:36, 6 March 2022
A rectangle is a quadrilateral in which all angles are right angles.
![[asy] size(200); pair A, B, C, D; A = (-377,233); B = (377,233); C = (377,-233); D = (-377,-233); dot("$A$",A,1.5*dir(A),linewidth(4)); dot("$B$",B,1.5*dir(B),linewidth(4)); dot("$C$",C,1.5*dir(C),linewidth(4)); dot("$D$",D,1.5*dir(D),linewidth(4)); draw(A--B--C--D--cycle); [/asy]](http://latex.artofproblemsolving.com/3/f/2/3f29ceb12d50d4780c9f4cd4300d7bfd7aa07314.png)
Every rectangle is a parallelogram and so has all the properties of a parallelogram. In addition, rectangles have congruent diagonals.
Squares are the only rectangles which are also rhombuses.
All rectangles are cyclic quadrilaterals.
See Also
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