Properties of 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 the legs of an isosceles trapezoid?

Back

The legs of an isosceles trapezoid are congruent, meaning they have the same length.

Front

What are the base angles of an isosceles trapezoid?

Back

The base angles of an isosceles trapezoid are congruent, meaning they are equal in measure.

Front

How do you find the sum of the interior angles of a trapezoid?

Back

The sum of the interior angles of any quadrilateral, including a trapezoid, is 360 degrees.

Front

If one angle of a trapezoid is 65 degrees, what is the measure of the opposite angle if the trapezoid is isosceles?

Back

The opposite angle is also 65 degrees, as the base angles are congruent.

Front

What is the formula for the area of a trapezoid?

Back

The area of a trapezoid can be calculated using the formula: Area = (1/2) * (Base1 + Base2) * Height.

Front

If AC = 28 and BE = 7 in a trapezoid, how do you find ED?

Back

To find ED, you can use the property of trapezoids that states the segments connecting the midpoints of the legs are equal to the average of the bases.

Front

What is the relationship between the angles in a trapezoid?

Back

In a trapezoid, the sum of the angles on the same side is supplementary, meaning they add up to 180 degrees.

Front

What is a midsegment in a trapezoid?

Back

A midsegment is a line segment that connects the midpoints of the legs of a trapezoid and is parallel to the bases.

Front

How do you determine if a trapezoid is isosceles?

Back

A trapezoid is isosceles if its non-parallel sides (legs) are congruent.