Worksheets · Geometry

Midpoint formula worksheet for Geometry

In Geometry the midpoint formula is used on segments given by their endpoints or drawn on a grid, and run backwards to find a missing endpoint from the midpoint. It is still the average of the x-values and the average of the y-values, with decimals and halves kept exact.

Also taught in Algebra 1 and Pre-Algebra, each at its own level and with its own examples.

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

Sigma Prep · sigmaprep.io/worksheets

Name

The Midpoint Formula

Date Period

Find each midpoint or missing endpoint.

  1. Use the midpoint formula

    Find the midpoint of (4,−4) and (−3,1).
  2. Find the midpoint of (−8,−7) and (0,−8).
  3. Find the midpoint of (6,3) and (−8,8).
  4. Find the midpoint of (−6,6) and (−1,1).
  5. Find the midpoint of (5,1) and (2,−1).
  6. Find the midpoint of (−6,3) and (2,7).
  7. Find the midpoint of (1,4) and (4,3).

  1. Find midpoints and endpoints from a graph

    Find the midpoint of CD‾.−10−10−5−5551010CD
  2. M is the midpoint of JK‾. Find the coordinates of K.−10−10−5−5551010JM
  3. M is the midpoint of CD‾. Find the coordinates of D.−10−10−5551010CM−5
  4. Find the midpoint of AB‾.−10−10−5−5551010AB
  5. Find the midpoint of RS‾.−10−10−5−5551010RS
  6. X is the midpoint of MN‾. Find the coordinates of N.−10−10−5−5551010MX
  7. Find the midpoint of MN‾.−10−10−5−551010MN

  1. Find the midpoint with decimals

    Find the midpoint of (9.3,−5.1) and (−0.6,−2.9).
  2. Find the midpoint of (3.9,8.1) and (−8.2,−9.3).
  3. Find the midpoint of (−1.4,0.4) and (−4.8,−2.8).
  4. Find the midpoint of (−4.6,−9.2) and (−8.2,7.1).
  5. Find the midpoint of (8.4,−4.2) and (7.8,2.5).
  6. Find the midpoint of (−6.3,−8.4) and (7.4,0.8).

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

Sigma Prep · sigmaprep.io/worksheets

Name

The Midpoint FormulaAnswer keyVersion 2

Date Period

Find each midpoint or missing endpoint.

  1. Use the midpoint formula

    Find the midpoint of (4,−4) and (−3,1).(12,−32)
  2. Find the midpoint of (−8,−7) and (0,−8).(−4,−152)
  3. Find the midpoint of (6,3) and (−8,8).(−1,112)
  4. Find the midpoint of (−6,6) and (−1,1).(−72,72)
  5. Find the midpoint of (5,1) and (2,−1).(72,0)
  6. Find the midpoint of (−6,3) and (2,7).(−2,5)
  7. Find the midpoint of (1,4) and (4,3).(52,72)

  1. Find midpoints and endpoints from a graph

    Find the midpoint of CD‾.−10−10−5−5551010CD(−8,1)
  2. M is the midpoint of JK‾. Find the coordinates of K.−10−10−5−5551010JM(−5,−9)
  3. M is the midpoint of CD‾. Find the coordinates of D.−10−10−5551010CM−5(−6,4)
  4. Find the midpoint of AB‾.−10−10−5−5551010AB(1,7)
  5. Find the midpoint of RS‾.−10−10−5−5551010RS(0,8)
  6. X is the midpoint of MN‾. Find the coordinates of N.−10−10−5−5551010MX(−4,−8)
  7. Find the midpoint of MN‾.−10−10−5−551010MN(5,3)

  1. Find the midpoint with decimals

    Find the midpoint of (9.3,−5.1) and (−0.6,−2.9).(4.35,−4)
  2. Find the midpoint of (3.9,8.1) and (−8.2,−9.3).(−2.15,−0.6)
  3. Find the midpoint of (−1.4,0.4) and (−4.8,−2.8).(−3.1,−1.2)
  4. Find the midpoint of (−4.6,−9.2) and (−8.2,7.1).(−6.4,−1.05)
  5. Find the midpoint of (8.4,−4.2) and (7.8,2.5).(8.1,−0.85)
  6. Find the midpoint of (−6.3,−8.4) and (7.4,0.8).(0.55,−3.8)

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

How to do these

M(2,−1) is the midpoint of AB‾, and A(−3,4). Find B

  1. x-coordinate: (-3 + x)/2 = 2, so x = 7.
  2. y-coordinate: (4 + y)/2 = -1, so y = -6.

The answer is (7,−6).

Where students go wrong

Averaging the midpoint and the endpoint. To find a missing endpoint, double the midpoint and subtract the endpoint you know.

Also called midpoint between two points or halfway point.

What you can put on this worksheet

The midpoint of two points
Find the midpoint of (1,−7) and (4,0). → (52,−72)
Midpoint read off a grid
Find the midpoint of AB‾. → (−1,8)
Midpoints with decimals
Find the midpoint of (0.6,1.1) and (4.4,−8.1). → (2.5,−3.5)
Fraction coordinates
Find the midpoint of (14,−74) and (−3,−114) → (−118,−94)

Questions about these worksheets

Yes. Every 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.

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 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 two 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 4: the midpoint of two points, midpoint read off a grid, midpoints with decimals and fraction coordinates. Tick as many as you want and set how many of each, or let it spread them evenly.

Subtracting instead of averaging. Subtracting gives the distance across, not the middle. If your answer is not between the two points, something has gone wrong.