Properties of Kites Worksheet

Properties of Kites

Read each question carefully and answer to the best of your ability. Show all your work for full credit.

1. Which of the following statements about the diagonals of a kite is always true?

2. If the lengths of the diagonals of a kite are 10 cm and 15 cm, what is the area of the kite?

1. A kite is a quadrilateral with two distinct pairs of equal-length adjacent sides.

2. The longer diagonal of a kite bisects the pair of opposite angles.

1. In a kite, one of the diagonals is the perpendicular   of the other diagonal.

2. The area of a kite can be calculated using the formula A =  , where d1 and d2 are the lengths of the diagonals.

1. Draw a kite and label its vertices A, B, C, and D. Draw its diagonals and label their intersection point E. Indicate any right angles and congruent segments or angles.

2. Explain why a rhombus is a special type of kite, but a kite is not necessarily a rhombus.

Consider a kite with vertices at the following coordinates: A(0, 4), B(3, 0), C(0, -2), and D(-3, 0).

1. Calculate the lengths of the two distinct pairs of equal-length adjacent sides.

2. Verify that the diagonals are perpendicular by calculating their slopes.

3. Find the area of the kite using the lengths of its diagonals.