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 calculated 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

If one angle of a trapezoid is 70°, what is the measure of the consecutive angle?

Back

The consecutive angle is 110° because the sum of the angles on the same side of a trapezoid is 180°.

Front

What is the relationship between the diagonals of a kite?

Back

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

Front

How do you determine if a quadrilateral is a trapezoid?

Back

A quadrilateral is a trapezoid if it has at least one pair of parallel sides.

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

What is the significance of the bases in a trapezoid?

Back

The bases of a trapezoid are the two parallel sides, and they are used to calculate the area and height.

Front

If a kite has sides of length 5 cm and 7 cm, what is the perimeter?

Back

The perimeter of the kite is 5 cm + 5 cm + 7 cm + 7 cm = 24 cm.