Definition of a Trapezoid
A trapezoid is a quadrilateral with one pair of parallel sides
A trapezoid is a quadrilateral with one pair of parallel sides. These parallel sides are called the bases of the trapezoid. The other two sides, which are non-parallel, are called the legs.
In a trapezoid, the bases may have different lengths, but the legs are typically equal in length. The angles formed by the bases and legs can vary, but the sum of each pair of opposite angles is always 180 degrees.
Trapezoids have several properties worth noting:
1. If the bases of a trapezoid are equal in length, the trapezoid is called an isosceles trapezoid.
2. The median of a trapezoid is a line segment that connects the midpoints of the legs. It is parallel to the bases and its length is equal to the average of the lengths of the bases.
3. The height (or altitude) of a trapezoid is the perpendicular distance between the bases. It is also equal to the length of any side perpendicular to the bases.
The area of a trapezoid can be found using the following formula:
Area = (1/2) * (sum of the lengths of the bases) * height
The perimeter of a trapezoid can be calculated by adding the lengths of all four sides.
It is important to note that the term “trapezium” in some countries, such as the United Kingdom, refers to what is called a trapezoid in the United States. A trapezium in the US refers to a quadrilateral with no parallel sides.
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