5.4–5.5 Trapezoids and Kites

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 kite?

Back

A kite is a quadrilateral with two distinct pairs of adjacent sides that are equal in length. The diagonals of a kite intersect at right angles.

Front

How do you find the area of a trapezoid?

Back

The area of a trapezoid can be found using the formula: Area = (1/2) * (b1 + b2) * h, where b1 and b2 are the lengths of the two parallel sides and h is the height.

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

What is the relationship between the angles in an isosceles trapezoid?

Back

In an isosceles trapezoid, the base angles are equal, and the sum of the angles on each side of the trapezoid is 180 degrees.

Front

If one angle of a trapezoid is 70 degrees, what is the measure of the opposite angle?

Back

The opposite angle will also be 70 degrees if the trapezoid is isosceles; otherwise, it cannot be determined without additional information.

Front

What is the formula for the perimeter of a trapezoid?

Back

The perimeter of a trapezoid is calculated by adding the lengths of all four sides: P = a + b + c + d.

Front

How do you determine if a quadrilateral is a kite?

Back

A quadrilateral is a kite if it has two pairs of adjacent sides that are equal in length.

Front

What is the significance of the diagonals in a kite?

Back

In a kite, one diagonal bisects the other, and the diagonals intersect at right angles.

Front

What is the measure of the angles in a right trapezoid?

Back

In a right trapezoid, two angles are right angles (90 degrees), and the other two angles are supplementary (add up to 180 degrees).