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Kites and Trapezoids - Printable Mathematics Worksheets - Wayground

Kites and Trapezoids

22 questions

10th - 10th Grade

Mathematics

Kites and Trapezoids is a free printable Grade 10 mathematics worksheet that builds fluency with classifying quadrilaterals by their defining properties. Students distinguish kites, trapezoids, isosceles trapezoids, parallelograms, rhombi, and rectangles by examining parallel sides, congruent sides, congruent diagonals, and angle relationships. The 22-question set includes 19 multiple-choice items and 3 multiple-select items. Students also find missing angle measures, solve for x, and calculate a trapezoid midsegment, including recognizing that an isosceles trapezoid has congruent base angles and diagonals. The varied response formats require students to identify all applicable properties rather than rely on a single visual clue. This worksheet is designed for Grade 10 geometry practice, review, or formative assessment. It is available as a free printable worksheet with a complete answer key for efficient checking.

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Worksheets

Kites and Trapezoids

Total questions: 22

Name
Class
Date
1.
Find the missing angle of the trapezoid.
a)
65
b)
115
c)
180
d)
None of these
2.
Find the value of x.
a)
4
b)
6
c)
5
d)
129
3.

What shape has one pair of parallel sides and non parallel sides are congruent?

a)

Trapazoid

b)

Rhombus

c)

Rectangle

d)

Isosceles trapezoid

4.

Select all of the following that have 2 sets of parallel sides

a)

Parallelogram

b)

Kite

c)

Rhombus

d)

Trapezoid

5.

Give the BEST Name for the quadrilateral

a)

Kite

b)

Isosceles Trapezoid

c)

Triangle

d)

Rhombus

6.

Which quadrilaterals have congruent diagonals?

a)

Rectangle

b)

Isosceles Trapezoid

c)

Parallelogram

d)

Rhombus

7.

What is the BEST name for the quadrilateral

a)

Trapezoid

b)

Isosceles Trapezoid

c)

Quadrilateral

d)

Parallelogram

8.

Select all of the properties that are true for Isosceles Trapezoids

a)

Congruent Diagonals

b)

Diagonals Bisect Each Other

c)

Base Angles are Congruent

d)

Diagonals are perpendicular

9.

m∠1=?m\angle1=?  

a)

39.5

b)

79

c)

101

d)

158

10.

m∠2=?m\angle2=?  

a)

39.5

b)

79

c)

101

d)

158

11.

m∠2=?m\angle2=?

a)

55

b)

125

c)

110

d)

27.5

12.

m∠3=?m\angle3=?

a)

55

b)

125

c)

110

d)

27.5

13.

XY=?XY=?

a)

12

b)

4

c)

24

d)

10

14.

XY=?XY=?

a)

10.5

b)

4.5

c)

12

d)

10

15.

x=?x=?

a)

10.5

b)

4.5

c)

12

d)

10

16.

x=?x=?

a)

3

b)

4.5

c)

6

d)

10

17.

m∠1=?m\angle1=?

a)

105.5

b)

101

c)

48

d)

90

18.

m∠3=?m\angle3=?

a)

63

b)

27

c)

90

19.

GLOT is a kite.  
x=?x=?  

a)

4

b)

2

c)

5.5

d)

3

20.
Find the measure of the midsegment XY:
a)
21
b)
9
c)
12
d)
10.5
21.

Find the value of x.

a)

35

b)

3

c)

33

d)

4

22.

a)

122

b)

11

c)

41

d)

23.8

Answer Key

Kites and Trapezoids

Total questions: 22

1.
b) 115
2.
c) 5
3.
d)

Isosceles trapezoid

4.
a)

Parallelogram

, c)

Rhombus

5.
a)

Kite

6.
a)

Rectangle

, b)

Isosceles Trapezoid

7.
b)

Isosceles Trapezoid

8.
a)

Congruent Diagonals

, c)

Base Angles are Congruent

9.
c)

101

10.
b)

79

11.
b)

125

12.
a)

55

13.
a)

12

14.
a)

10.5

15.
d)

10

16.
a)

3

17.
a)

105.5

18.
a)

63

19.
a)

4

20.
d) 10.5
21.
b)

3

22.
b)

11

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FAQs

What does the Kites and Trapezoids worksheet cover?

This Grade 10 worksheet practices classifying quadrilaterals and applying their properties, with 19 multiple-choice questions and 3 multiple-select questions. Students identify kites and isosceles trapezoids, determine which figures have two pairs of parallel sides or congruent diagonals, use angle relationships, solve for x, and find a trapezoid midsegment.

How can I use this worksheet to teach kite and trapezoid properties?

Introduce the defining properties of each quadrilateral before students begin the classification items, then have them justify why an option fits rather than naming a shape from its appearance alone. Use the multiple-select questions to prompt discussion about why parallelograms and rhombi have two pairs of parallel sides, while isosceles trapezoids have congruent diagonals and congruent base angles. Follow with the angle, x-value, and midsegment problems so students apply those properties in calculations.

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

Watch for students selecting a kite or trapezoid based only on its drawing instead of checking the stated side, parallel-line, or diagonal properties. In the multiple-select items, students may choose every familiar property or confuse congruent diagonals with diagonals that bisect each other. For the angle and midsegment problems, check that students use the indicated trapezoid relationship and substitute the given values correctly before solving for x or the missing measure.

How do I assign and grade the Kites and Trapezoids worksheet?

The worksheet is available as a printable PDF and as a digital quiz on Wayground, and it includes a complete answer key for the 22 questions. Assign the digital version for online responses, or print the PDF for written practice; printable submissions can be graded by scanning student work with the Wayground for Teachers app. The printable format can also support schools that are reducing screen time.

How can I differentiate this worksheet for my students?

Use the worksheet’s Advanced Settings to adjust font spacing or choose a larger font size so the multiple-choice and multiple-select property items are easier to read. You can also enable a dyslexia-friendly font or translate the worksheet into another language, while keeping the geometry terms and diagrams accessible to your learners.

Where can I find more worksheets like this on Wayground?

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

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