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Similar Figures - Printable Mathematics Worksheets grade 8 - Wayground

Similar Figures

15 questions

8th - 8th Grade

Mathematics

This Grade 8 mathematics worksheet gives students focused practice with similar figures through 15 multiple-choice questions. Students use proportions and corresponding side lengths to find missing measures, solve for variables, complete proportions, and decide whether pairs of figures or triangles are similar. Several items require students to justify similarity by checking whether corresponding sides are proportional, while a real-world mirror problem applies similar triangles to estimate the height of a pine tree. The worksheet is designed for middle school math instruction, independent practice, review, or formative assessment after students have learned the relationship between scale factors and similar figures. Its varied questions help students connect numerical proportion-solving with visual comparisons and applied reasoning. This free printable worksheet includes a complete answer key, making it useful for classroom assignments, homework, intervention, or quick skill checks.

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Worksheets

Similar Figures

Total questions: 15

Name
Class
Date
1.
The pair of figures is similar. Find the missing side.
a)
x = 9
b)
x = 28
c)
x = 7
d)
x = 63
2.
Solve for X.
a)
2 ft
b)
3 ft
c)
4 ft
d)
6 ft
3.
Find missing side
a)
5
b)
7
c)
9
d)
11
4.
The pair of figures is similar. Find the missing side.
a)
x = 20
b)
x = 12
c)
x = 5
d)
x = 4
5.
The triangles are similar, solve for the question mark.
a)
8
b)
12.5
c)
18
d)
24
6.
a)
4 ft
b)
15 ft
c)
18 ft
d)
2 ft
7.
a)
2
b)
4
c)
50
d)
40
8.
To find the height of a very tall pine tree, you place a mirror on the ground and stand where you can see the top of the pine tree.  How tall is the tree?
a)
144 feet
b)
72 feet
c)
36 feet
d)
8 feet
9.
Are the following similar? Why or why not?
a)
Yes
b)
No, the corresponding angles are not equal.
c)
No, the ratios of the corresponding sides are not equal.
10.
Find the missing measure. 
a)
12
b)
14
c)
196
d)
168
11.
Solve for x.
a)
100
b)
143
c)
4
d)
95
12.
Tell whether the two figures are similar. Explain your reasoning. (Hint: are they proportional?)
a)
Yes, similar because they are the same shape and side lengths are proportional.
b)
No, not similar because they are the same shape, but side lengths are not proportional.
c)
Yes, same shape
d)
No, different sizes
13.
Are these triangles similar?
a)
Yes
b)
No
14.
Find y.
a)
144
b)
18
c)
72
d)
12
15.
Complete each proportion.
CB / DM  =  AC / ?
a)
BM
b)
MA
c)
BC
d)
AD
Answer Key

Similar Figures

Total questions: 15

1.
d) x = 63
2.
a) 2 ft
3.
b) 7
4.
c) x = 5
5.
c) 18
6.
b) 15 ft
7.
d) 40
8.
b) 72 feet
9.
c) No, the ratios of the corresponding sides are not equal.
10.
c) 196
11.
b) 143
12.
b) No, not similar because they are the same shape, but side lengths are not proportional.
13.
a) Yes
14.
d) 12
15.
d) AD

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FAQs

What does the Similar Figures worksheet cover?

This Grade 8 worksheet uses 15 multiple-choice questions to practice identifying similar figures, comparing corresponding sides, completing proportions, and finding missing side lengths or variables. Students also apply similar-triangle reasoning to a mirror problem and explain when figures are not similar because their corresponding side ratios are unequal.

How can I use this worksheet to teach similar figures?

Introduce the worksheet by modeling how to match corresponding sides and write a proportion before solving for an unknown. As students work through the multiple-choice items, ask them to explain whether they used a scale factor, a proportion, or a similarity check; pause on the mirror problem to connect similar triangles to a real measurement situation.

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

Watch for students pairing the wrong corresponding sides, reversing one ratio in a proportion, or choosing an answer without checking that the scale factor is consistent. Students may also assume that figures are similar because they have the same general shape, even when the worksheet’s side ratios are not proportional, or confuse a solved variable with the requested side measure.

How do I assign and grade the Similar Figures worksheet?

The Similar Figures worksheet is available as a printable PDF and as a digital quiz on Wayground, and it includes a complete answer key for the 15 multiple-choice questions. Printable submissions can be graded by scanning student work with the Wayground for Teachers app, while the digital version supports online assignment and grading.

How can I differentiate this Similar Figures worksheet for my students?

Use the worksheet’s Advanced Settings to adjust font spacing or choose a larger font size so the proportion problems, answer choices, and figure-related text are easier to read. You can also apply a dyslexia-friendly font or translate the worksheet into another language when those options better support students working through the similar-figure questions.

Where can I find more worksheets like this on Wayground?

Wayground offers a broad collection of free printable worksheets and practice problems across all 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.

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