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Properties of Kites Worksheet

Explore the unique geometric properties of kites, including their diagonals, angles, and area, with this Grade 11 math worksheet.

Grade 11 Math GeometryProperties of Kites
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Includes

Multiple ChoiceFill in the BlanksShort AnswerTrue / FalseCustom

Standards

CCSS.MATH.CONTENT.HSG.CO.C.11CCSS.MATH.CONTENT.HSG.SRT.B.5

Topics

geometrykitesquadrilateralsgrade 11
7 sections · Free to use · Printable
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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?

a

Exactly two pairs of consecutive congruent sides.

b

Diagonals are perpendicular.

c

Exactly one pair of opposite angles are congruent.

d

Both pairs of opposite angles are congruent.

2. The area of a kite is given by the formula:

a

A = d1 * d2

b

A = 1/2 * d1 * d2

c

A = s^2

d

A = b * h

3. In a kite, the longer diagonal bisects the   diagonal.

4. The angles between the non-congruent sides of a kite are  .

5. Consider a kite with diagonals of length 10 cm and 24 cm. Calculate the area of the kite.

6. Draw a kite and label its vertices A, B, C, and D. Indicate the congruent sides and the perpendicular diagonals.

ABCD(congruent)(congruent)(congruent)(congruent)

7. All four sides of a kite are congruent.

T

True

F

False

8. The diagonals of a kite always bisect each other.

T

True

F

False

9. In kite ABCD, with AB = AD and CB = CD, if angle BCD is 100 degrees and angle ABC is 60 degrees, find the measures of angle BAD and angle ADC.

ABCD100°60°