Wayground
Rectangle, rhombus and square - Printable Math Worksheets grade 9 - Wayground

Rectangle, rhombus and square

Dana Miranda

Created by Dana Miranda

22 questions

9th - 12th Grade

Math

Updated Oct 2026

Rectangle, rhombus and square is a free printable mathematics worksheet for Grades 9–12 that builds fluency with classifying and comparing these three quadrilaterals. Across 22 questions—19 multiple choice and 3 multiple select—students identify shapes, recognize relationships among parallelograms, rectangles, rhombi, and squares, and apply properties of diagonals, sides, and angles. Students also solve figure-based problems involving missing side lengths and angle measures, including rectangle and rhombus relationships and the 45-degree angles formed in a square. The questions require students to distinguish properties that quadrilaterals share from those that are unique, then use those properties to select or calculate answers. This worksheet is useful for Grade 9–12 geometry practice, review, or assessment, and includes a complete answer key for efficient checking.

Worksheet settings

Font size

S
M
L
XL
WaygroundWorksheets

Rectangle, rhombus and square

Total questions: 22

Name
Class
Date
1.
Name the following shape:
Name the following shape: 
a)
Rhombus
b)
Rectangle
c)
Square
2.
Name the following shape:
Name the following shape: 
a)
Rhombus
b)
Rectangle
c)
Square
3.
Name the following shape:
Name the following shape: 
a)
Rhombus
b)
Rectangle
c)
Square
4.
The diagonals of a rectangle are
a)
parallel
b)
congruent
c)
perpendicular
d)
not congruent
5.
The diagonals of a rhombus 
a)
never intersect
b)
bisect the opposite angles
c)
are congruent
d)
bisect the sides
6.
Which quadrilateral does not have diagonals that are perpendicular?
a)
Rectangle
b)
Rhombus
c)
Square
7.
A rectangle is a parallelogram:
a)
Always
b)
Sometimes
c)
Never
8.
A square has all the properties of a
a)
parallelogram
b)
rectangle
c)
rhombus
d)
parallelogram, rectangle, and rhombus
9.
If the figure is a rectangle, the value of x is...
If the figure is a rectangle, the value of x is...
a)
2
b)
12
c)
13
d)
28
10.
Find y.
Find y.
a)
2
b)
4
c)
6
d)
8
11.
MNKL is a square. Find the measure of angle MKN.

MNKL is a square. Find the measure of angle MKN.

a)

180 degrees

b)

90 degrees

c)

60 degrees

d)

45 degrees

12.
Find the measure of angle 2
Find the measure of angle 2
a)
68
b)
22
c)
136
d)
44
13.
Find the measure of angle 4
Find the measure of angle 4
a)
90
b)
22
c)
136
d)
44
14.
ABCD is a rhombus, if AC = 52, find the value of AE.

ABCD is a rhombus, if AC = 52, find the value of AE.

a)

AE = 26

b)

AE = 104

c)

AE = 13

d)

AE = 52

15.
ABCD is a rhombus, if m∠ADB = 54°, find the value of m∠ADC.

ABCD is a rhombus, if m∠ADB = 54°, find the value of m∠ADC.

a)

m∠ADC = 36°

b)

m∠ADC = 27°

c)

m∠ADC = 54°

d)

m∠ADC = 108°

16.
FAIR is a square, if FA = 5x + 7 and FR = 7x + 1, find the value of FR.

FAIR is a square, if FA = 5x + 7 and FR = 7x + 1, find the value of FR.

a)

FR = 22

b)

FR = 3

c)

FR = 15

d)

FR = 29

17.
Put a check mark by all the properties that apply to a rectangle

Put a check mark by all the properties that apply to a rectangle

a)

Diagonals are congruent

b)

Each angle measure 90 degrees.

c)

Diagonals bisect opposite angles

d)

Opposite sides are congruent

e)

Diagonals bisect each other

18.
Put a check mark by all the propertires that appply to rhombus

Put a check mark by all the propertires that appply to rhombus

a)

Diagonals are congruent

b)

Each angle measure 90 degrees.

c)

Diagonals are perpendicular to each other.

d)

Opposite sides are congruent

e)

Diagonals bisect each other

19.
Put a check mark by all the propertires that appply to square

Put a check mark by all the propertires that appply to square

a)

Diagonals are congruent

b)

Each angle measure 90 degrees.

c)

Diagonals are perpendicular to each other.

d)

Opposite sides are congruent

e)

Diagonals bisect each other

20.
What does it mean if diagonals are perpendicular (⊥)?

What does it mean if diagonals are perpendicular (⊥)?

a)

They bisect the vertex

b)

Where they intersect is a 90˚ angle

c)

They are equal

21.
What is the measure of angle D?

What is the measure of angle D?

a)

132

b)

66

c)

114

d)

48

22.
Sometimes, Always, Never:  A rectangle is ____ a rhombus.
a)
Sometimes
b)
Always
c)
Never
WaygroundAnswer Key

Rectangle, rhombus and square

Total questions: 22

1.
c) Square
2.
b) Rectangle
3.
a) Rhombus
4.
b) congruent
5.
b) bisect the opposite angles
6.
a) Rectangle
7.
a) Always
8.
d) parallelogram, rectangle, and rhombus
9.
b) 12
10.
b) 4
11.
d)

45 degrees

12.
a) 68
13.
a) 90
14.
a)

AE = 26

15.
d)

m∠ADC = 108°

16.
a)

FR = 22

17.
a)

Diagonals are congruent

, b)

Each angle measure 90 degrees.

, e)

Diagonals bisect each other

, d)

Opposite sides are congruent

18.
e)

Diagonals bisect each other

, d)

Opposite sides are congruent

, c)

Diagonals are perpendicular to each other.

19.
e)

Diagonals bisect each other

, d)

Opposite sides are congruent

, c)

Diagonals are perpendicular to each other.

, a)

Diagonals are congruent

, b)

Each angle measure 90 degrees.

20.
b)

Where they intersect is a 90˚ angle

21.
d)

48

22.
a) Sometimes

Browse by subjects

Browse by grades

Browse by format

FAQs

What does the Rectangle, rhombus and square worksheet cover?

This Grade 9–12 mathematics worksheet uses 19 multiple-choice and 3 multiple-select questions to assess how students classify squares, rectangles, and rhombi and apply their defining properties. Students compare diagonal relationships, recognize that a square has the properties of a parallelogram, rectangle, and rhombus, and solve for missing side lengths and angle measures in geometric figures.

How can I use this worksheet to teach the properties of rectangles, rhombi, and squares?

Begin by having students create a property chart for the three quadrilaterals, focusing on diagonal congruence, perpendicularity, angle bisection, and shape hierarchy. Then use the classification and property questions for guided discussion before assigning the figure-based x, y, and angle problems independently. Ask students to justify why a property applies to a rectangle, rhombus, square, or more than one of them.

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

Students may confuse congruent diagonals in a rectangle with perpendicular diagonals, or assume that every rhombus has congruent diagonals. They may also overlook that a square belongs to all three categories—parallelogram, rectangle, and rhombus—and use the wrong angle-bisection or diagonal relationship when solving the missing-value problems. Review the diagram and identify the applicable property before accepting a numerical answer.

How do I assign and grade this rectangle, rhombus, and square worksheet?

On Wayground, assign the worksheet as a printable PDF or as a digital quiz; it includes a complete answer key for all 22 questions. Printable submissions can be graded by scanning student work with the Wayground for Teachers app. The PDF option also supports classrooms or schools that want to reduce screen time.

How can I differentiate this worksheet for my students?

Use the worksheet’s Advanced Settings to adjust font spacing and font size so the multiple-choice prompts and geometry figures are easier to read. You can also enable a dyslexia-friendly font or translate the worksheet into another language while keeping the classification, diagonal-property, and angle-measure questions intact.

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 support mastery of essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.

© 2026 Wayground Inc.

Accessibility and Inclusion