🧠 Similar Figures: Show Your Thinking (G-SRT.A.2)

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Use similarity transformations; find missing sides using scale factors. Solve each problem and show your work.

1. Triangles are similar. Sides 4 and 6 correspond to 10 and x. x = ___

Show your work

2. Triangles are similar. Sides 8 and 4 correspond to 24 and x. x = ___

Show your work

3. Triangles are similar. Sides 6 and 10 correspond to 12 and x. x = ___

Show your work

4. Triangles are similar. Sides 9 and 2 correspond to 36 and x. x = ___

Show your work

5. Triangles are similar. Sides 5 and 4 correspond to 12.5 and x. x = ___

Show your work

6. Triangles are similar. Sides 11 and 6 correspond to 33 and x. x = ___

Show your work

Explain: How did you solve problem 1? Could you check it another way?

Answer key: 1) 15 · 2) 12 · 3) 20 · 4) 8 · 5) 10 · 6) 18

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Worksheets › Grade 10 Math (Geometry) › Similar Figures › Similar Figures

Grade 10 (ages 15–16)Numbers & mathsFree printable PDF

About this grade 10 worksheet

Free Grade 10 Geometry math worksheet (Common Core G-SRT.A.2): similar figures — problems with space to show work and explain reasoning, with answer key. Skill: Use similarity transformations; find missing sides using scale factors. Level: Grade 10 — also suits Year 11 (UK).

For teachers: skills & standards

CCSS G-SRT.A.2: Use similarity transformations; find missing sides using scale factors
Works as a morning-work page, a centre/station activity, homework or an early-finisher task.

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What age is it for?

It is designed for Grade 10 (ages 15–16), but use it with any child who is ready.

What skills does it build?

Use similarity transformations; find missing sides using scale factors.

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