Trapezoid

A trapezoid is a quadrilateral with at least one pair of parallel sides. The parallel sides are called the bases of the trapezoid, while the non-parallel sides are called the legs. The height of a trapezoid is the perpendicular distance between the two bases.

Properties of a Trapezoid

1. A trapezoid has four sides and four angles.
2. It has two parallel sides (the bases) and two non-parallel sides (the legs).
3. The sum of the interior angles of a trapezoid is always 360 degrees.
4. The two non-parallel sides are called the legs of the trapezoid.
5. The midsegment of a trapezoid is the segment that connects the midpoints of the two non-parallel sides.

Formulas for Trapezoid

Area of a trapezoid = ((sum of the bases) * height) / 2

Perimeter of a trapezoid = sum of all four sides

Example Problem

Find the area of a trapezoid with bases of length 6 and 10 and a height of 4.

Area = ((6 + 10) * 4) / 2 = 16

So, the area of the trapezoid is 16 square units.

Practice Problems

1. Find the area of a trapezoid with bases of length 8 and 12 and a height of 5.
2. Find the perimeter of a trapezoid with side lengths of 7, 9, 5, and 4.
3. If the midsegment of a trapezoid is 15 and one of the bases is 12, find the length of the other base.

Summary

In summary, a trapezoid is a quadrilateral with at least one pair of parallel sides. It has specific properties and formulas for finding its area and perimeter. Practice problems can help solidify your understanding of trapezoids.

[Trapezoid] Related Worksheets and Study Guides:

• Diameter of CircleMathematics • Sixth Grade