Flashcard: Kites, Trapezoids, and Parallelograms

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 parallelogram?

Back

A parallelogram has opposite sides that are equal and parallel, opposite angles that are equal, and the diagonals bisect each other.

Front

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

Back

In a parallelogram, consecutive angles are supplementary, meaning they add up to 180 degrees.

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 two bases and h is the height.

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 parallelogram is 135 degrees, what is the measure of the adjacent angle?

Back

The adjacent angle would be 45 degrees, as consecutive angles in a parallelogram are supplementary.

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 parallelogram?

Back

A quadrilateral is a parallelogram if one pair of opposite sides is both equal and parallel.

Front

What is the definition of a trapezoid?

Back

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

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

Area = (1/2) * (10 + 6) * 4 = 32 cm².