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 kite?

Back

1. Two pairs of adjacent sides are equal. 2. The diagonals intersect at right angles. 3. One diagonal bisects the other.

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 an isosceles trapezoid?

Back

1. The legs are congruent. 2. The base angles are equal. 3. The diagonals are congruent.

Front

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

Back

The sum of the interior angles of a trapezoid is 360 degrees. Use this to find unknown angles.

Front

What is the formula for the area of a trapezoid?

Back

Area = (1/2) * (Base1 + Base2) * Height.

Front

If the legs of an isosceles trapezoid are congruent, what can be said about the angles?

Back

The base angles are equal.

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 find the lengths of the sides of a kite?

Back

Use the properties of congruent triangles formed by the diagonals.

Front

What is the significance of congruent sides in a trapezoid?

Back

Congruent sides in an isosceles trapezoid indicate that the trapezoid has symmetry.