Difference between revisions of "Trapezoid"

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A '''trapezoid''' (British: trapezium) is a four-sided [[polygon]] with two [[parallel]] sides.
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A '''trapezoid''' is a four-sided [[polygon]] with two [[parallel]] sides.
  
 
[[Image:trapezoid.gif]]
 
[[Image:trapezoid.gif]]
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The following properties arise from the definition:
 
The following properties arise from the definition:
 
* Two of the pairs of adjacent angles sum to 180<sup>o</sup>
 
* Two of the pairs of adjacent angles sum to 180<sup>o</sup>
* The area of the trapezium is the average of the parallel sides multiplied by the distance between them.
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* The area is the mean of the parallel sides multiplied by the distance between them.
* The perimeter is equal to the sum of the oblique sides times the sum of the tangent sides.
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* The perimeter is equal to the sum of the oblique sides plus the sum of the tangent sides.
 
* The sum of the oblique angles will be equal to the sum of the tangent angles.
 
* The sum of the oblique angles will be equal to the sum of the tangent angles.
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In England, such a shape is called a trapezium.<ref>"Trapezium".  ''Britannica Online Dictionary''.</ref>
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==References==
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{{Reflist}}
  
 
[[Category:Plane Geometry]]
 
[[Category:Plane Geometry]]

Latest revision as of 06:57, August 22, 2017

A trapezoid is a four-sided polygon with two parallel sides.

Trapezoid.gif

The following properties arise from the definition:

  • Two of the pairs of adjacent angles sum to 180o
  • The area is the mean of the parallel sides multiplied by the distance between them.
  • The perimeter is equal to the sum of the oblique sides plus the sum of the tangent sides.
  • The sum of the oblique angles will be equal to the sum of the tangent angles.

In England, such a shape is called a trapezium.[1]

References

  1. "Trapezium". Britannica Online Dictionary.