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A '''trapezoid''' (British: trapezium) is a four-sided [[polygon]] with two [[parallel]] sides.
A '''trapezoid''' is a four-sided [[polygon]] with two [[parallel]] sides.
[[Image:trapezoid.gif]]
[[Image:trapezoid.gif]]
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.
* 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.
* 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.
[[Category:Plane Geometry]]
[[Category:Plane Geometry]]