Difference between revisions of "Rectangle"

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A [[polygon]] of four sides where every angle is a right angle (90°)<ref>There are many definitions of ''rectangle'', but it seems sensible to use one which ais based on [[angle]] properites reather than length or papallesim properties. Definition adapted from http://www.mathsisfun.com/definitions/rectangle.html </ref>.
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A '''rectangle''' is a [[polygon]] of four sides where every angle is a right angle (90°).<ref>There are many definitions of ''rectangle'', but it seems sensible to use one which is based on [[angle]] properties rather than length or parallelism properties. Definition adapted from http://www.mathsisfun.com/definitions/rectangle.html</ref>
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[[Image:Rectangle.gif]]
  
  
As a result of this defintion:
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As a result of this definition:
 
* Each pair of opposite sides is of equal length.
 
* Each pair of opposite sides is of equal length.
 
* Opposite sides are parallel
 
* Opposite sides are parallel
* Diagonal are equal
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* Diagonals are equal
 
* Adjacent sides are perpendicular
 
* Adjacent sides are perpendicular
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* Area = product of any two adjacent sides
  
However, the adjacent sides do not need to be of equal length.
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Please note that the adjacent sides may or may not be of equal length. The special case where all four sides of a rectangle are equal is called a [[square]], which is also a [[rhombus]] and a [[kite]].
 
 
A specific case of a rectangle is is the [[square]], which is also a [[rhombus]].
 
  
===Notes===
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==Notes==
 
<references/>
 
<references/>
  
[[Image:Rectangle.gif]]
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[[Category:Plane Geometry]]
[[category:geometry]]
 

Latest revision as of 18:15, July 13, 2016

A rectangle is a polygon of four sides where every angle is a right angle (90°).[1]

Rectangle.gif


As a result of this definition:

  • Each pair of opposite sides is of equal length.
  • Opposite sides are parallel
  • Diagonals are equal
  • Adjacent sides are perpendicular
  • Area = product of any two adjacent sides

Please note that the adjacent sides may or may not be of equal length. The special case where all four sides of a rectangle are equal is called a square, which is also a rhombus and a kite.

Notes

  1. ↑ There are many definitions of rectangle, but it seems sensible to use one which is based on angle properties rather than length or parallelism properties. Definition adapted from http://www.mathsisfun.com/definitions/rectangle.html