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# What is a quadrangle that is not a parallelogram?

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A trapezoid is a quadrangle that is not a parallelogram. A trapezoid is a quadrangle because it has four sides and four internal angles, but it is not a parallelogram because it only has one pair of parallel sides rather than two.

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Each of the two parallel sides is called a base of the trapezoid, and each of the two non-parallel sides is referred to as a leg. The perimeter of the trapezoid is determined by adding the lengths of all four sides together. The formula for the area of the trapezoid requires multiplying the height by the sum of both bases and dividing by two.

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## Related Questions

• A:

A trapezoid has four sides and four vertices. A vertex is a corner of a polygon. According to Reference.com, a trapezoid is a quadrilateral plane figure that has two parallel sides and two non-parallel sides.

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• A:

A trapezoid may have right angles, but they are not required. The definition of a trapezoid only specifies that it must be a quadrilateral, or a closed, four-sided shape, and that it must have only one pair of parallel sides.

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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.