Properties of Kites Worksheet
Explore the geometric properties of kites, including their diagonals, angles, and area calculation, with this Grade 12 math worksheet.
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Properties of Kites
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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?
They bisect each other.
They are congruent.
They are perpendicular.
They form four congruent triangles.
2. If the lengths of the diagonals of a kite are 10 cm and 15 cm, what is the area of the kite?
25 cm²
50 cm²
75 cm²
150 cm²
1. A kite is a quadrilateral with two distinct pairs of equal-length adjacent sides.
True
False
2. The longer diagonal of a kite bisects the pair of opposite angles.
True
False
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.