5.3 Practice Properties of Kites and Trapezoids

Front

What is a kite in geometry?

Back

A kite is a quadrilateral with two distinct pairs of adjacent sides that are equal in length.

Front

What are the properties of a trapezoid?

Back

A trapezoid is a quadrilateral with at least one pair of parallel sides. The angles adjacent to each base 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 property that the angles on the same side of a leg are supplementary.

Front

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

Back

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

Front

If one angle of a trapezoid is 65 degrees, what is the measure of the adjacent angle?

Back

The adjacent angle is 115 degrees, since they are supplementary.

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) * (b1 + b2) * h, where b1 and b2 are the lengths of the bases and h is the height.

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 and one pair of opposite angles that are equal.

Front

What is the relationship between the diagonals of a kite?

Back

The diagonals of a kite are perpendicular to each other, and one diagonal bisects the other.

Front

If the lengths of the bases of a trapezoid are 10 cm and 6 cm, and the height is 4 cm, what is the area?

Back

The area is 32 cm², calculated as Area = (1/2) * (10 + 6) * 4.

Front

What is the measure of the angles in an isosceles trapezoid?

Back

In an isosceles trapezoid, the base angles are equal.