Worksheets · Algebra 1

Distance and midpoint formula worksheet

Two formulas that get confused with each other constantly. Distances are left as exact square roots rather than rounded, which is what a test expects.

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Pick more than one for a sheet that mixes them.

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

Sigma Prep · sigmaprep.io/worksheets

Name

Distance and Midpoint

Date Period

Answer each question.

  1. Find the exact distance between two points

    Find the exact distance between (3,−6) and (9,−9).
  2. Find the exact distance between (11,14) and (−8,6).
  3. Find the exact distance between (−10,13) and (5,−11).
  4. Find the exact distance between (−11,−13) and (−10,−6).
  5. Find the exact distance between (−10,1) and (−3,−6).
  6. Find the exact distance between (−9,12) and (−7,14).
  7. Find the exact distance between (4,−5) and (−14,−2).
  8. Find the exact distance between (4,−12) and (−11,9).
  9. Find the exact distance between (−9,−13) and (5,1).
  10. Find the exact distance between (10,−1) and (4,3).

  1. Use the midpoint formula

    Find the midpoint of (5,7) and (1,−9).
  2. Find the midpoint of (−3,5) and (−6,13).
  3. Find the midpoint of (14,−3) and (−10,−11).
  4. Find the midpoint of (5,−11) and (4,0).
  5. Find the midpoint of (11,12) and (−5,10).
  6. Find the midpoint of (−10,−12) and (−5,−13).
  7. Find the midpoint of (11,−4) and (4,−4).
  8. One endpoint is (−10,−6) and the midpoint is (6,4). Find the other endpoint.
  9. Find the midpoint of (−3,−7) and (8,−12).
  10. Find the midpoint of (−2,−10) and (−9,13).

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

Sigma Prep · sigmaprep.io/worksheets

Name

Distance and MidpointAnswer keyVersion 1

Date Period

Answer each question.

  1. Find the exact distance between two points

    Find the exact distance between (3,−6) and (9,−9).35
  2. Find the exact distance between (11,14) and (−8,6).517
  3. Find the exact distance between (−10,13) and (5,−11).389
  4. Find the exact distance between (−11,−13) and (−10,−6).52
  5. Find the exact distance between (−10,1) and (−3,−6).72
  6. Find the exact distance between (−9,12) and (−7,14).22
  7. Find the exact distance between (4,−5) and (−14,−2).337
  8. Find the exact distance between (4,−12) and (−11,9).374
  9. Find the exact distance between (−9,−13) and (5,1).142
  10. Find the exact distance between (10,−1) and (4,3).213

  1. Use the midpoint formula

    Find the midpoint of (5,7) and (1,−9).(3,−1)
  2. Find the midpoint of (−3,5) and (−6,13).(−92,9)
  3. Find the midpoint of (14,−3) and (−10,−11).(2,−7)
  4. Find the midpoint of (5,−11) and (4,0).(92,−112)
  5. Find the midpoint of (11,12) and (−5,10).(3,11)
  6. Find the midpoint of (−10,−12) and (−5,−13).(−152,−252)
  7. Find the midpoint of (11,−4) and (4,−4).(152,−4)
  8. One endpoint is (−10,−6) and the midpoint is (6,4). Find the other endpoint.(22,14)
  9. Find the midpoint of (−3,−7) and (8,−12).(52,−192)
  10. Find the midpoint of (−2,−10) and (−9,13).(−112,32)

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. √45 simplifies to 3√5.

The answer is 35.

Where students go wrong

Using the wrong formula. Distance squares and adds, midpoint averages, and the answers do not even have the same shape: a distance is one number, a midpoint is a point. If your answer to a distance question has a comma in it, something has gone wrong.

Also called the midpoint of a line segment.

What you can put on this worksheet

The distance between two points
Find the exact distance between (4,−8) and (20,−20). → 20
The midpoint of two points
Find the midpoint of (1,−7) and (4,0). → (52,−72)

Questions about these worksheets

Yes. Every distance and midpoint 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.

Algebra 1 is usually taken around 8th or 9th 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 and midpoint 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.

You pick from 2: the distance between two points and the midpoint of two points. Tick as many as you want and set how many of each, or let it spread them evenly.

Using the wrong formula. Distance squares and adds, midpoint averages, and the answers do not even have the same shape: a distance is one number, a midpoint is a point. If your answer to a distance question has a comma in it, something has gone wrong.