Properties of Kites Worksheet
Explore the unique geometric properties of kites, including their diagonals, angles, and area, with this Grade 9 worksheet.
Includes
Standards
Properties of Kites
Name:
Date:
Score:
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.
Related Worksheets
Arcs and Sectors Geometry Worksheet
A Grade 9 math worksheet focusing on calculating arc length, sector area, and related properties of circles.
Area of an Annulus Worksheet
Calculate the area of an annulus using given radii for Grade 9 geometry students.
Lateral Area Practice Worksheet
A Grade 9 math worksheet focusing on calculating the lateral surface area of various 3D geometric shapes including prisms, cylinders, pyramids, and cones.
Altitude of a Triangle Worksheet
Explore the concept of altitude in triangles, including definitions, properties, and construction methods, suitable for Grade 9 geometry students.
Altitude of a Triangle Worksheet
Explore the concept of altitude in triangles, including definitions, properties, and construction methods, suitable for Grade 9 geometry students.
Segment Length Practice
Practice worksheet for calculating segment lengths on number lines and coordinate planes, including midpoints and distances.
Exterior Angle of a Triangle Worksheet
Explore the properties of exterior angles of triangles with this Grade 9 math worksheet, featuring various problem types.
Grade 9 Math: Coordinate Proofs
This worksheet focuses on coordinate proofs, including proving geometric properties on a coordinate plane, calculating distances, midpoints, and slopes.