Geometry: Trapezoid Properties

Front

What is a trapezoid?

Back

A trapezoid is a four-sided figure (quadrilateral) with at least one pair of parallel sides.

Front

What are the properties of a trapezoid?

Back

1. At least one pair of parallel sides. 2. The angles adjacent to each base are supplementary. 3. The median (midsegment) is parallel to the bases and its length is the average of the lengths of the bases.

Front

What is the formula for the area of a trapezoid?

Back

Area = (1/2) * (Base1 + Base2) * Height

Front

How do you find the height of a trapezoid?

Back

The height can be found by drawing a perpendicular line from one base to the other, forming a right triangle.

Front

What is the median of a trapezoid?

Back

The median (midsegment) of a trapezoid is the line segment that connects the midpoints of the non-parallel sides and is parallel to the bases.

Front

How do you calculate the length of the median of a trapezoid?

Back

Length of the median = (Base1 + Base2) / 2

Front

What is an isosceles trapezoid?

Back

An isosceles trapezoid is a trapezoid in which the non-parallel sides are equal in length and the base angles are equal.

Front

What are the angle properties of an isosceles trapezoid?

Back

In an isosceles trapezoid, the angles adjacent to each base are equal.

Front

How do you determine if a quadrilateral is a trapezoid?

Back

A quadrilateral is a trapezoid if it has at least one pair of parallel sides.

Front

What is the relationship between the diagonals of an isosceles trapezoid?

Back

The diagonals of an isosceles trapezoid are congruent (equal in length).