Trapezoids and Parallelograms

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 parallelogram?

Back

A parallelogram has opposite sides that are equal in length, opposite angles that are equal, and adjacent angles that are supplementary.

Front

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

Back

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

Front

What is an isosceles trapezoid?

Back

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

Front

What are base angles in a trapezoid?

Back

Base angles are the angles that are adjacent to each base of the trapezoid.

Front

In an isosceles trapezoid, how do the base angles relate to each other?

Back

The base angles of an isosceles trapezoid are congruent.

Front

What is the relationship between the angles of a parallelogram?

Back

In a parallelogram, opposite angles are equal, and adjacent angles are supplementary.

Front

How do you find the measure of an angle in a trapezoid?

Back

To find the measure of an angle in a trapezoid, use the properties of angles and the fact that the sum of the angles in a quadrilateral is 360°.

Front

If one angle of a parallelogram is 70°, what are the measures of the other angles?

Back

The opposite angle is also 70°, and the adjacent angles are 110° each.

Front

What is the formula for the area of a trapezoid?

Back

The area of a trapezoid is given by the formula: Area = (1/2) * (Base1 + Base2) * Height.