Kites & 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 angles in a kite?

Back

The angles between the unequal sides are equal, and the angles between the equal sides are also equal. The diagonals intersect at right angles.

Front

What is a trapezoid?

Back

A trapezoid is a quadrilateral with at least one pair of parallel sides.

Front

What are the properties of angles in a trapezoid?

Back

The consecutive angles between the bases are supplementary, meaning they add up to 180 degrees.

Front

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

Back

Use the properties of kites: if you know one angle, you can find the others using the fact that the angles opposite the equal sides are equal.

Front

What is the formula for the area of a trapezoid?

Back

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

Front

If one angle of a kite is 90 degrees, what can you say about the other angles?

Back

The other angles can be found using the properties of kites; specifically, the angles opposite the equal sides will be 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 determine the length of a side in a trapezoid?

Back

Use the properties of trapezoids and the Pythagorean theorem if necessary, depending on the information given.

Front

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

Back

The sum of the interior angles of any quadrilateral, including a trapezoid, is 360 degrees.