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Properties of Kites - Printable Mathematics Worksheets grade 9 - Wayground

Properties of Kites

20 questions

9th - 9th Grade

Mathematics

Properties of Kites is a Grade 9 mathematics worksheet that helps students identify and apply key properties of kites. Across 20 multiple-choice questions, students examine the definition of a kite, recognize relationships between consecutive congruent sides, determine which statements about diagonals and angles are true or false, and identify whether a given figure is a kite. The worksheet also asks students to use kite properties in labeled diagrams to solve for unknown angle and side measures. Items include finding missing values, determining the value that makes a quadrilateral a kite, using perpendicular diagonals, applying diagonal-bisection relationships, and calculating a segment such as EC when AC is known. This free printable worksheet includes a complete answer key, making it useful for guided practice, independent review, or a Grade 9 geometry assessment.

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Properties of Kites

Total questions: 20

Name
Class
Date
1.

Which of the following statements is false?

a)

a kite has no parallel sides

b)

a kite has one pair of congruent angles

c)

the diagonals of a kite are perpendicular

d)

the diagonals of a kite are congruent

2.
Which of the following statements is true?
a)
a kite has congruent opposite sides
b)
a kite has two pairs of congruent angles
c)
the diagonals of a kite are perpendicular
d)
the diagonals of a kite form 4 congruent triangles
3.
The diagonals in a kite  __________.
a)
are perpendicular
b)
are congruent
c)
bisect each other
4.
Which of the following statements is false?
Which of the following statements is false?
a)
BD and AC are perpendicular
b)
BD and AC are congruent
c)
∠A and ∠C  are congruent
d)
BD bisects AC
5.
Which of the following statements about a kite is false?
Which of the following statements about a kite is false?
a)
one diagonal bisects the other diagonal
b)
two angles are congruent
c)
the diagonals form 4 congruent triangles
d)
the diagonals are perpendicular
6.
Which of the following statements is true?
Which of the following statements is true?
a)
the diagonals bisect each other
b)
the diagonals are congruent
c)
∠B and ∠D  are congruent
d)
DB bisects AC
7.
Find the value of y.
Find the value of y.
a)
65
b)
110
c)
75
d)
None of these.
8.
Solve for Angle 1 and Angle 2.
Solve for Angle 1 and Angle 2.
a)
1= 92, 2 = 46 degrees
b)
1 = 118, 2 = 118 degrees
c)
1 = 92, 2 = 92 
d)
1 = 136, 2 = 100 
9.
Find the value of x that makes that shape a kite.
Find the value of x that makes that shape a kite.
a)
x = 4.5
b)
x= 4
c)
x = 2
d)
x = 5
10.
What is x?
What is x?
a)
35
b)
45
c)
55
d)
90
11.
What is the measure of angle 1?
What is the measure of angle 1?
a)
48
b)
101
c)
105.5
d)
360
12.
According the the definition of a kite, "A kite is a quadrilateral with..."
a)
2 pairs of OPPOSITE congruent sides.
b)
2 pairs of CONSECUTIVE congruent sides.
c)
4 congruent sides.
d)
congruent diagonals.
13.
Is this a kite?
Is this a kite?
a)
Yes!
b)
No.
14.
Kite ABCD is shown. If AC = 44, what is EC?
Kite ABCD is shown.
If AC = 44, what is EC?
a)
44
b)
11
c)
88
d)
22
15.
In kite ABCD, AC = 12, and CD = 16, what is ED?
In kite ABCD, AC = 12, and CD = 16, what is ED?
a)
10.58
b)
14.83
c)
20
d)
17.09
16.
In kite LMNO, MO = 13, LP = 7, what is LM?

In kite LMNO, MO = 13, LP = 7,

what is LM?

a)

14.77

b)

2.60

c)

9.55

d)

10.95

17.
Kite LMNO is shown. Solve for x.
Kite LMNO is shown.
Solve for x.
a)
40
b)
20
c)
90
d)
10
18.
Kite LMNO is shown. Solve for x.
Kite LMNO is shown.
Solve for x.
a)
90
b)
180
c)
60
d)
75
19.
Kite LMNO is shown. Solve for x.
Kite LMNO is shown.
Solve for x.
a)
32
b)
148
c)
90
d)
58
20.
Kite LMNO is shown. Solve for x.
Kite LMNO is shown.
Solve for x.
a)
28
b)
59
c)
118
d)
31
WaygroundAnswer Key

Properties of Kites

Total questions: 20

1.
d)

the diagonals of a kite are congruent

2.
c) the diagonals of a kite are perpendicular
3.
a) are perpendicular
4.
b) BD and AC are congruent
5.
c) the diagonals form 4 congruent triangles
6.
d) DB bisects AC
7.
b) 110
8.
b) 1 = 118, 2 = 118 degrees
9.
b) x= 4
10.
b) 45
11.
c) 105.5
12.
b) 2 pairs of CONSECUTIVE congruent sides.
13.
a) Yes!
14.
d) 22
15.
b) 14.83
16.
c)

9.55

17.
b) 20
18.
a) 90
19.
d) 58
20.
b) 59

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FAQs

What does this Properties of Kites worksheet cover?

This Grade 9 worksheet covers the definition and geometric properties of kites through 20 multiple-choice questions. Students classify statements about consecutive congruent sides, perpendicular diagonals, diagonal bisection, and congruent angles, then apply those relationships to solve for unknown angles, side lengths, and diagonal segments in labeled diagrams.

How can I use this worksheet to teach the properties of kites?

Introduce the worksheet by having students annotate the kite definition and mark the perpendicular or bisecting diagonal relationships shown in the diagrams. Then use the true-or-false-style multiple-choice items to discuss why a statement is correct before assigning the calculation problems involving unknown angles, values that make a figure a kite, and segments such as EC or ED.

What mistakes should I watch for when students complete this kite properties worksheet?

Watch for students confusing perpendicular diagonals with congruent diagonals or assuming that the diagonals of a kite bisect each other in both directions. Students may also choose opposite rather than consecutive congruent sides in the definition, overlook which diagonal bisects the other in a labeled diagram, or apply a side or angle relationship without checking the diagram.

How do I assign and grade this Properties of Kites worksheet?

You can assign this worksheet as a printable PDF or as a digital quiz on Wayground. It includes a complete answer key for checking the 20 multiple-choice responses, and printable submissions can be graded by scanning student work with the Wayground for Teachers app.

How can I differentiate this kite properties worksheet for my students?

Use the worksheet’s Advanced Settings to adjust font spacing or font size so the property statements, answer choices, and labeled kite diagrams are easier to read. You can also apply a dyslexia-friendly font or translate the worksheet into another language when students need a different reading format for the geometry questions.

Where can I find more worksheets like this on Wayground?

Wayground offers a broad collection of free printable worksheets and practice problems across subjects, with downloadable PDFs and answer keys to support essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.

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