Trapezoids

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. It has two parallel sides called bases. 2. The non-parallel sides are called legs. 3. The angles adjacent to each base are supplementary.

Front

What is the midsegment of a trapezoid?

Back

The midsegment of a trapezoid is a 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 midsegment?

Back

The length of the midsegment (XY) is the average of the lengths of the two bases: XY = (Base1 + Base2) / 2.

Front

What is an isosceles trapezoid?

Back

An isosceles trapezoid is a trapezoid in which the non-parallel sides (legs) are equal in length.

Front

What are the base angles of an isosceles trapezoid?

Back

The base angles of an isosceles trapezoid are congruent (equal in measure).

Front

What is the sum of the interior angles of a trapezoid?

Back

The sum of the interior angles of a trapezoid is 360 degrees.

Front

Are the diagonals of a trapezoid equal?

Back

In a general trapezoid, the diagonals are not necessarily equal. However, in an isosceles trapezoid, the diagonals are equal.

Front

What is the relationship between the angles of a trapezoid?

Back

The angles on the same side of a trapezoid are supplementary, meaning they add up to 180 degrees.

Front

Can a trapezoid be a parallelogram?

Back

No, a trapezoid cannot be a parallelogram because a parallelogram has two pairs of parallel sides.