Trapezoids: Properties, Formulas, And Examples.

Trapezoid

a quadrilateral with exactly one pair of parallel sides

A trapezoid is a quadrilateral with at least one pair of parallel sides. It is also called a trapezium in some countries.

The parallel sides of a trapezoid are called the bases, and the nonparallel sides are called the legs. The height of a trapezoid is the perpendicular distance between the bases.

The area of a trapezoid can be calculated using the formula:

Area = (base1 + base2) x height / 2

where base1 and base2 are the lengths of the two parallel sides, and height is the perpendicular distance between the bases.

The perimeter of a trapezoid is the sum of the lengths of all its sides. If the two nonparallel sides of a trapezoid are equal in length, it is called an isosceles trapezoid. In an isosceles trapezoid, the base angles (the angles formed by the bases and each of the legs) are equal in measure.

In summary, a trapezoid is a quadrilateral with two parallel sides, called bases, and two nonparallel sides, called legs. The height is the perpendicular distance between the bases, and the area can be calculated using the formula (base1 + base2) x height / 2. The perimeter is the sum of all the sides, and an isosceles trapezoid has equal leg lengths and equal base angles.

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