Properties of Kites Worksheet
Explore and apply the geometric properties of kites, including diagonals, angles, and area calculations, through various problem-solving exercises.
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Properties of Kites Worksheet
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Read each question carefully and answer to the best of your ability. Show all work where applicable.
1. Define a kite in your own words, highlighting its key properties.
2. Which of the following statements is TRUE about the diagonals of a kite?
They bisect each other.
They are congruent.
They are perpendicular.
They form four congruent triangles.
3. In a kite, how many pairs of consecutive congruent sides are there?
One
Two
Three
Four
4. The longer diagonal of a kite bisects the angles.
5. The area of a kite can be calculated using the formula A = , where d1 and d2 are the lengths of the diagonals.
6. Consider a kite ABCD where AB = BC = 10 cm and CD = DA = 17 cm. If the length of diagonal AC is 16 cm, find the length of diagonal BD.
7. A kite has diagonals of length 12 cm and 18 cm. Calculate its area.
8. All four angles of a kite are always congruent.
True
False
9. A square is a special type of kite.
True
False
10. Compare and contrast the properties of a kite and a rhombus. Discuss at least two similarities and two differences.