TRAPEZOIDS

Front

What is a trapezoid?

Back

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

Front

Is a trapezoid a parallelogram?

Back

False. A trapezoid is not a parallelogram because a parallelogram has two pairs of parallel sides.

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 is the sum of the interior angles of a trapezoid?

Back

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

Front

If ∠C + ∠B = 180 degrees, what does this imply about trapezoid ABCD?

Back

This implies that angles C and B are supplementary, which is a property of trapezoids.

Front

How do you find the length of the bases in an isosceles trapezoid?

Back

The lengths of the bases can be found using the properties of similar triangles or by applying the trapezoid area formula.

Front

What is the formula for the area of a trapezoid?

Back

The area A of a trapezoid is given by the formula A = (1/2) * (b1 + b2) * h, where b1 and b2 are the lengths of the bases and h is the height.

Front

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

Back

The diagonals of an isosceles trapezoid are equal in length.

Front

How do you determine if a trapezoid is isosceles?

Back

A trapezoid is isosceles if the lengths of the non-parallel sides are equal.

Front

What is the significance of the midsegment in a trapezoid?

Back

The midsegment of a trapezoid is parallel to the bases and its length is the average of the lengths of the two bases.