Properties of Kites Worksheet
Explore the unique geometric properties of kites, including their diagonals, angles, and area, with this Grade 9 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 is NOT a property of a kite?
Two pairs of consecutive sides are congruent.
The diagonals are perpendicular.
Exactly one pair of opposite angles are congruent.
All four sides are congruent.
2. In a kite, one diagonal is the perpendicular bisector of the other diagonal. Which statement is true?
Both diagonals bisect each other.
Only the non-vertex diagonal is bisected.
Only the vertex diagonal is bisected.
Neither diagonal is bisected.
3. A kite is a quadrilateral with two distinct pairs of equal-length sides that are .
4. The diagonals of a kite are to each other.
5. In a kite, exactly one pair of angles are congruent.
6. Draw a kite and label its vertices. Then, draw and label its diagonals.
7. If the lengths of the diagonals of a kite are 10 cm and 16 cm, what is the area of the kite? Show your work.
8. All four angles of a kite are congruent.
True
False
9. The longer diagonal of a kite bisects the angles at the vertices it connects.
True
False
10. A kite has vertices at A(0, 4), B(3, 0), C(0, -2), and D(-3, 0). Plot these points on the coordinate plane below and verify that it is a kite by calculating the lengths of its sides. Then, calculate the lengths of its diagonals.