Worksheets · Geometry

Geometry distance formula worksheet

Pythagoras with the legs read off the coordinates. Answers stay as exact square roots rather than rounded decimals, which is what a test expects.

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Pick more than one for a sheet that mixes them.

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

Sigma Prep · sigmaprep.io/worksheets

Name

The Distance Formula

Date Period

Find each distance.

  1. Find the distance between (3,6) and (9,9)
  2. Find the distance between (5,7) and (1,9)
  3. Find the distance between (8,10) and (7,5)
  4. Find the distance between (13,14) and (11,10)
  5. Find the distance between (3,3) and (11,5)
  6. Find the distance between (4,5) and (1,11)
  7. Find the distance between (10,1) and (3,6)
  8. Find the distance between (11,12) and (5,10)
  9. Find the distance between (10,6) and (9,11)
  10. Find the distance between (1,5) and (2,4)
  11. Find the distance between (14,2) and (5,11)
  12. Find the distance between (4,12) and (11,9)
  13. Find the distance between (10,6) and (6,4)
  14. Find the distance between (11,5) and (9,13)
  15. Find the distance between (12,14) and (14,14)
  16. Find the distance between (10,3) and (11,3)
  17. Find the distance between (6,3) and (14,1)
  18. Find the distance between (13,4) and (10,8)
  19. Find the distance between (4,12) and (11,5)
  20. Find the distance between (13,7) and (3,9)

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

Sigma Prep · sigmaprep.io/worksheets

Name

The Distance FormulaAnswer keyVersion 1

Date Period

Find each distance.

  1. Find the distance between (3,6) and (9,9)35
  2. Find the distance between (5,7) and (1,9)417
  3. Find the distance between (8,10) and (7,5)510
  4. Find the distance between (13,14) and (11,10)242
  5. Find the distance between (3,3) and (11,5)217
  6. Find the distance between (4,5) and (1,11)35
  7. Find the distance between (10,1) and (3,6)72
  8. Find the distance between (11,12) and (5,10)265
  9. Find the distance between (10,6) and (9,11)526
  10. Find the distance between (1,5) and (2,4)310
  11. Find the distance between (14,2) and (5,11)510
  12. Find the distance between (4,12) and (11,9)374
  13. Find the distance between (10,6) and (6,4)289
  14. Find the distance between (11,5) and (9,13)282
  15. Find the distance between (12,14) and (14,14)2365
  16. Find the distance between (10,3) and (11,3)353
  17. Find the distance between (6,3) and (14,1)2101
  18. Find the distance between (13,4) and (10,8)317
  19. Find the distance between (4,12) and (11,5)132
  20. Find the distance between (13,7) and (3,9)289

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

How to do these

Find the distance between (2,3) and (5,9)

  1. The differences are 3 across and 6 up.
  2. Square and add: 9 + 36 = 45.
  3. Root 45 simplifies.

The answer is 35.

Where students go wrong

Forgetting to square the differences, or rounding too early. The answer is exact until you choose to round it, and simplifying the root is part of finishing.

Also called distance between two points or Pythagoras on a grid.

Questions about these worksheets

Yes. Every distance formula 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 distance formula 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.

Forgetting to square the differences, or rounding too early. The answer is exact until you choose to round it, and simplifying the root is part of finishing.