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Quadrilaterals - Printable Mathematics Worksheets - Wayground

Quadrilaterals

20 questions

9th - 12th Grade

Mathematics

Quadrilaterals is a free printable mathematics worksheet for students in Grades 9–12. It contains 20 multiple-choice questions that review and apply properties of parallelograms, rectangles, rhombi, and squares. Students identify relationships involving opposite and consecutive sides and angles, determine which quadrilaterals have perpendicular sides or diagonals, and recognize properties such as bisecting diagonals and congruent rectangle diagonals. Several items also ask students to use parallelogram relationships to find an unknown side length or solve for x in a figure. This worksheet supports geometry review, independent practice, or a quick formative assessment of quadrilateral properties. Its multiple-choice format helps teachers check whether students can distinguish closely related definitions, such as congruent versus supplementary angles and side versus diagonal relationships. A complete answer key is included so teachers can review reasoning, address misconceptions, and provide targeted follow-up practice. The worksheet is available as a free printable PDF for classroom or homework use.

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Quadrilaterals

Total questions: 20

Name
Class
Date
1.

Opposite sides of parallelograms are _______ and _______.

a)

parallel

congruent

b)

congruent

consecutive

c)

parallel

perpendicular

d)

parallel

supplementary

2.

______ angles of parallelograms are congruent.

a)

Consecutive

b)

Opposite

c)

parallel

d)

diagonal

3.

Consecutive angles of parallelograms are ______.

a)

bisected

b)

congruent

c)

supplementary

d)

complementary

4.

The diagonals of a parallelogram _______ each other.

a)

bisect

b)

equal

c)

are perpendicular to

d)

complement

5.

All the angles in a rectangle are _____ angles.

a)

acute

b)

right

c)

obtuse

d)

bisected

6.

The _____ in a rectangle are congruent.

a)

consecutive sides

b)

diagonals

7.

All the _____ in a rhombus are congruent.

a)

diagonals

b)

angles

c)

sides

8.

A ____ is a rhombus with right angles.

a)

kite

b)

parallelogram

c)

rectangle

d)

square

9.

In parallelogram ABCD, ∠A ≅ ?\angle A\ \cong\ ?  

a)

∠B\angle B  

b)

∠C\angle C  

c)

∠D\angle D  

10.

In parallelogram ABCD, AB≅?AB\cong?  

a)

BC

b)

CD

c)

DA

11.

Which quadrilaterals have perpendicular consecutive sides?

a)

All Parallelograms

b)

Rectangles and Squares

c)

Rhombi and Squares

12.

Which quadrilaterals have perpendicular diagonals?

a)

All parallelograms

b)

Rectangles and Squares

c)

Rhombi and Squares

13.
If ABCD is a parallelogram, what is the length of BD?
If ABCD is a parallelogram, what is the length of BD? 
a)
10
b)
11
c)
7
d)
5
14.
The figure is a parallelogram. Solve for x.
The figure is a parallelogram.  
Solve for x.  
a)
1
b)
11
c)
7
d)
6
15.
The figure is a parallelogram. Solve for x.
The figure is a parallelogram.  
Solve for x.  
a)
7
b)
2
c)
0
d)
4
16.
What is the value of x?
What is the value of x?
a)
132
b)
66
c)
114
d)
48
17.
LMNO is a parallelogram solve for X
LMNO is a parallelogram
solve for X
a)
19
b)
20
c)
33
d)
53
18.
What are the values of x, y, and z?
What are the values of x, y, and z?
a)
x=145, y=145,z=145
b)
x=145, y=35, z=35
c)
x=35,y=145, z=35
d)
x=35, y=35, z=145
19.

All figures given are parallelograms EXCEPT for?

a)
All figures given are parallelograms EXCEPT for?
b)
All figures given are parallelograms EXCEPT for?
c)
All figures given are parallelograms EXCEPT for?
d)
All figures given are parallelograms EXCEPT for?
20.
Determine the property being used to solve the problem.

Determine the property being used to solve the problem.

a)

Opposite SIDES are congruent

b)

Opposite ANGLES are congruent

c)

Consecutive angles are supplementary

d)

Diagonals bisect each other

WaygroundAnswer Key

Quadrilaterals

Total questions: 20

1.
a)

parallel

congruent

2.
b)

Opposite

3.
c)

supplementary

4.
a)

bisect

5.
b)

right

6.
b)

diagonals

7.
c)

sides

8.
d)

square

9.
b)

∠C\angle C  

10.
b)

CD

11.
b)

Rectangles and Squares

12.
c)

Rhombi and Squares

13.
a) 10
14.
b) 11
15.
a) 7
16.
b) 66
17.
a) 19
18.
c) x=35,y=145, z=35
19.
b)
20.
a)

Opposite SIDES are congruent

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FAQs

What does the Quadrilaterals worksheet cover?

This Grade 9–12 mathematics worksheet uses 20 multiple-choice questions to assess properties of parallelograms, rectangles, rhombi, and squares. Students identify congruent and supplementary relationships, determine whether sides or diagonals are perpendicular or bisect one another, classify quadrilaterals by their properties, and apply those relationships to find lengths and solve for x.

How can I use this worksheet to teach quadrilateral properties?

Begin by having students organize the listed properties in a comparison chart for parallelograms, rectangles, rhombi, and squares. Then use the multiple-choice items to ask students to justify why one property applies to a specific quadrilateral while another does not. Finish with the figure-based length and solve-for-x questions so students apply the properties rather than only recall definitions.

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

Students may confuse opposite angles, which are congruent, with consecutive angles, which are supplementary, or select a property of a rectangle or rhombus that is not true for every parallelogram. They may also mix up congruent sides and congruent diagonals, overlook that rhombi and squares have perpendicular diagonals, or use the wrong pair of corresponding sides when solving the figure-based length and x problems.

How do I assign and grade this quadrilaterals worksheet?

The Quadrilaterals worksheet is available on Wayground as a printable PDF and as a digital quiz. It includes a complete answer key, and printable submissions can be graded by scanning student work with the Wayground for Teachers app. The printable format also gives schools an option for reducing screen time during geometry practice.

How can I differentiate this quadrilaterals worksheet for my students?

For the multiple-choice property questions and figure-based algebra items, use the worksheet’s Advanced Settings to adjust font spacing or increase the font size for easier visual tracking. You can also enable a dyslexia-friendly font or translate the worksheet into another language when those changes support access to the quadrilateral vocabulary and diagrams.

Where can I find more worksheets like this on Wayground?

Wayground offers a comprehensive collection of free printable worksheets and practice problems across 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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