Worksheets · Geometry

Similar polygons worksheet

Similar shapes have the same angles and sides in the same ratio. Find the scale factor from a pair you know, then apply it to the pair you do not.

Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Similar Polygons

Date Period

Find each missing side.

  1. The polygons are similar. Find the matching side101260x
  2. The polygons are similar. Find the matching side141184x
  3. The polygons are similar. Find the matching side131278x
  4. The polygons are similar. Find the matching side121272x
  5. The polygons are similar. Find the matching side121160x
  6. The polygons are similar. Find the matching side121060x
  7. The polygons are similar. Find the matching side131165x
  8. The polygons are similar. Find the matching side101250x
  9. The polygons are similar. Find the matching side131178x
  10. The polygons are similar. Find the matching side131265x
  11. The polygons are similar. Find the matching side101360x
  12. The polygons are similar. Find the matching side131465x
  13. The polygons are similar. Find the matching side131065x
  14. The polygons are similar. Find the matching side111055x
  15. The polygons are similar. Find the matching side131478x
  16. The polygons are similar. Find the matching side141084x
  17. The polygons are similar. Find the matching side141170x
  18. The polygons are similar. Find the matching side121472x
  19. The polygons are similar. Find the matching side101460x
  20. The polygons are similar. Find the matching side111355x

Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Similar PolygonsAnswer keyVersion 1

Date Period

Find each missing side.

  1. The polygons are similar. Find the matching side101260x72
  2. The polygons are similar. Find the matching side141184x66
  3. The polygons are similar. Find the matching side131278x72
  4. The polygons are similar. Find the matching side121272x72
  5. The polygons are similar. Find the matching side121160x55
  6. The polygons are similar. Find the matching side121060x50
  7. The polygons are similar. Find the matching side131165x55
  8. The polygons are similar. Find the matching side101250x60
  9. The polygons are similar. Find the matching side131178x66
  10. The polygons are similar. Find the matching side131265x60
  11. The polygons are similar. Find the matching side101360x78
  12. The polygons are similar. Find the matching side131465x70
  13. The polygons are similar. Find the matching side131065x50
  14. The polygons are similar. Find the matching side111055x50
  15. The polygons are similar. Find the matching side131478x84
  16. The polygons are similar. Find the matching side141084x60
  17. The polygons are similar. Find the matching side141170x55
  18. The polygons are similar. Find the matching side121472x84
  19. The polygons are similar. Find the matching side101460x84
  20. The polygons are similar. Find the matching side111355x65

Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

How to do these

Sides 6 and 9 match. Another side is 8

  1. The scale factor is 9 over 6.
  2. That is one and a half.
  3. Eight times that is 12.

The answer is 12.

Where students go wrong

Pairing sides by where they sit on the page rather than by the angles they are between. Similar shapes get drawn turned round, and the matching has to follow the letters, not the picture.

Also called scale factor, corresponding sides or similar figures.

Questions about these worksheets

Yes. Every similar polygons sheet is free to print and free to download as a PDF. There is no account to make, no email to hand over and no limit on how many you take.

Yes. The answer key prints on a second page, and you can choose whether it shows each question beside its answer or just the answers in a list.

Yes. Print straight from the page, or download the PDF and print that. The sheet is laid out for paper rather than squeezed off a screen, so there is room to work under each question, and the answer key comes out on its own page.

Geometry is usually taken around 9th or 10th grade, though schools vary and plenty of students meet it earlier or later. Pick the difficulty rather than the grade: the easy level suits a first lesson on it, the hard level suits review before a test.

Yes, as many as you like. The questions are built fresh each time rather than picked from a fixed set of files, so pressing Generate gives a new sheet. That is what you want for a second class, a retake, or two students sitting next to each other.

That is the closest comparison, and Kuta Software is good software. It is also paid software you install on a computer. These worksheets run in a browser tab for free, with no account and nothing to install. Like Kuta, the similar polygons questions are generated when you ask for them rather than pulled from a fixed set of files, so two classes never get the same sheet, and the answer key comes with it.

Yes. There are three levels, and you can tick more than one for a sheet that mixes them, in which case the questions come out easiest first. The harder levels are not just larger numbers: they ask for something the easy ones do not.

Pairing sides by where they sit on the page rather than by the angles they are between. Similar shapes get drawn turned round, and the matching has to follow the letters, not the picture.