Wayground
Similar Figures - Printable Mathematics Worksheets - Wayground

Similar Figures

20 questions

7th - 7th Grade

Mathematics

Similar Figures is a Grade 7 mathematics worksheet that builds understanding of how figures can share the same shape while differing in size. Students identify similar and congruent figures, interpret “corresponding” parts, match corresponding sides, and distinguish the proportional relationship between corresponding sides from the congruence of corresponding angles. The 20-question set includes 19 multiple-choice items and one matching item. Students apply proportions to determine missing side lengths, select valid proportions for pairs of similar figures, and use labeled diagrams to identify corresponding segments. This free printable worksheet is useful for guided practice, independent review, or a formative check, and it includes a complete answer key for efficient feedback and grading.

Worksheet settings

Font size

S
M
L
XL
Worksheets

Similar Figures

Total questions: 20

Name
Class
Date
1.
Two objects that are the same shape but not the same size are _______.
a)
Congruent
b)
Vertical
c)
Similar
d)
Complementary 
2.
Solve for X.
a)
2 ft
b)
3 ft
c)
4 ft
d)
6 ft
3.
The triangles are similar, solve for the question mark.
a)
8
b)
12.5
c)
18
d)
24
4.
The  term "corresponding" means ...
a)
congruent
b)
similar
c)
matching 
d)
multiply 
5.
What is true about the shape and size of similar figures?
a)
Same shape and same size
b)
Same shape and not the same size
c)
Different shape and same size
d)
Different shape and not the same size
6.
The term "congruent" means ...
a)
matching
b)
similar
c)
corresponding
d)
equal
7.
What is true about the sides of similar figures?
a)
Corresponding sides are proportional.
b)
Corresponding sides are congruent.
c)
Opposite sides are proportional.
d)
Opposite sides are congruent.
8.
What is true about the angles of similar figures?
a)
Corresponding angles are proportional.
b)
Complementary angles are proportional.
c)
Corresponding angles are congruent.
d)
Complementary angles are congruent.
9.
What side corresponds with AB? 
a)
BC
b)
FE
c)
DE
d)
FD
10.
The two parallelograms above are similar.
What is the length in inches of line segment PQ?
a)
40 in.
b)
34 in.
c)
38 in.
d)
14 in.
11.
The pair of figures is similar. Find the missing side.
a)
x = 10
b)
x = 4
c)
x = 2
d)
x = 5
12.

ΔPQR is similar to ΔSTU\Delta PQR\ is\ similar\ to\ \Delta STU  What side corresponds to side UT?

a)

PQ

b)

RQ

c)

QR

d)

QP

13.

ΔABC is similar to ΔDEF\Delta ABC\ is\ similar\ to\ \Delta DEF  Which proportion is true?

a)

ABBC=FEED\frac{AB}{BC}=\frac{FE}{ED}  

b)

CAAB=FDDE\frac{CA}{AB}=\frac{FD}{DE}  

c)

BCCA=EFDE\frac{BC}{CA}=\frac{EF}{DE}  

d)

ABBC=DEFD\frac{AB}{BC}=\frac{DE}{FD}  

14.

Which proportion correctly shows the corresponding sides of the two similar figures?

a)

BEED=BCAC\frac{BE}{ED}=\frac{BC}{AC}

b)

ACAB=DEDA\frac{AC}{AB}=\frac{DE}{DA}

c)

BDBE=ABAC\frac{BD}{BE}=\frac{AB}{AC}

d)

DEEB=ACEC\frac{DE}{EB}=\frac{AC}{EC}

15.

Which statement is true?

a)

∠A =∠E\angle A\ =\angle E

b)

∠F=∠B\angle F=\angle B

c)

∠E=∠B\angle E=\angle B

d)

∠C=∠D\angle C=\angle D

16.

Which angle corresponds with  ∠T\angle T  ?

a)

∠U\angle U  

b)

∠Q\angle Q  

c)

∠P\angle P  

d)

∠R\angle R  

17.

What side corresponds to AB ?

a)

 XZ

b)

 XY

c)

 YZ

d)

 AB

18.
Find missing side
a)
5
b)
7
c)
9
d)
11
19.
a)
TQ AND BE
b)
TS AND CD
c)
RS AND BC
d)
QR AND CD
20.

Correctly match the statements about similar figures.

Corresponding means...

matching

Corresponding angles are...

congruent

Corresponding sides are...

proportional

Two figures with the same...

shape

Not the same...

size

Answer Key

Similar Figures

Total questions: 20

1.
c) Similar
2.
a) 2 ft
3.
c) 18
4.
c) matching 
5.
b) Same shape and not the same size
6.
d) equal
7.
a) Corresponding sides are proportional.
8.
c) Corresponding angles are congruent.
9.
c) DE
10.
a) 40 in.
11.
a) x = 10
12.
b)

RQ

13.
b)

CAAB=FDDE\frac{CA}{AB}=\frac{FD}{DE}  

14.
a)

BEED=BCAC\frac{BE}{ED}=\frac{BC}{AC}

15.
c)

∠E=∠B\angle E=\angle B

16.
b)

∠Q\angle Q  

17.
b)

 XY

18.
b) 7
19.
d) QR AND CD
20.

Corresponding means...

 - 

matching

, 

Corresponding angles are...

 - 

congruent

, 

Corresponding sides are...

 - 

proportional

, 

Two figures with the same...

 - 

shape

, 

Not the same...

 - 

size

Browse by subjects

Browse by grades

Browse by format

FAQs

What does the Similar Figures worksheet cover?

This Grade 7 math worksheet uses 19 multiple-choice questions and one matching item to practice identifying similar figures, congruent figures, and corresponding sides and angles. Students then use those relationships to choose valid proportions and solve for missing side lengths in labeled diagrams.

How can I use this worksheet to teach similar figures?

Begin by reviewing the difference between similar figures, which have the same shape but may differ in size, and congruent figures. As students work through the matching and multiple-choice items, have them label corresponding vertices first, compare corresponding sides and angles, and then write a proportion before solving each missing-length problem.

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

Students may confuse corresponding parts with opposite parts, reverse the matching order of labeled sides, or treat corresponding sides as equal instead of proportional. Check that they recognize corresponding angles as congruent, use the same figure order on both sides of a proportion, and distinguish the terms similar, congruent, and corresponding.

How do I assign and grade the Similar Figures worksheet?

The worksheet is available as a printable PDF and as a digital quiz on Wayground, and it includes a complete answer key. You can grade printed submissions by scanning student work with the Wayground for Teachers app, while the digital version supports online assignment and response review.

How can I differentiate this similar figures worksheet for my students?

In the worksheet’s Advanced Settings, adjust font spacing or choose a larger font size to make the labeled diagrams, proportions, and answer choices easier to read. You can also enable a dyslexia-friendly font or translate the worksheet into another language when those options support access to the similar-figures tasks.

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.

© 2026 Wayground Inc.

Accessibility and Inclusion