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Q:

# How many sides does a trapezoid have?

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A trapezoid has four sides. It is a simple, convex quadrilateral with at least one pair of parallel sides. In British English, it is typically called a trapezium.

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Formerly, the word trapezoid in British English meant a quadrilateral with no parallel sides, or what is often called an irregular quadrilateral.

Agreement as to the classification of trapezoids is not universal. Some regard only quadrilaterals with one single pair of parallel sides as trapezoids. Others regard the parallelogram, with two pairs of parallel sides, as a special type of trapezoid. This definition includes rectangles, rhombuses and squares as trapezoids as well because they are all special types of parallelogram.

## Related Questions

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A quadrilateral with exactly one pair of opposite parallel sides is called a trapezoid. As with all quadrilaterals, the sum of the interior angles of a trapezoid is always equal to 360 degrees.

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An isosceles trapezoid contains a single line of symmetry. A trapezoid is referred to as an isosceles trapezoid when its two non-parallel edges are equal in length.

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Using the area, the height is found by dividing twice the area by the sum of the two bases of the trapezoid. Without the area, the height is found by using the Pythagorean Theorem; right triangles can be formed from the ends of the trapezoid. The slanted edges form the hypotenuses, and the length of the triangle's bottom sides is half of the difference between the two bases.