Worksheets · Geometry

Midsegment of a triangle worksheet

Join the midpoints of two sides and the segment you get is parallel to the third side and exactly half its length. That works in both directions, which is what the questions swap between.

Select your difficulty

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

Midsegments of Triangles

Date Period

Find each missing length.

  1. Find the side the midsegment is parallel to25x
  2. Find the midsegmentx48
  3. Find the side the midsegment is parallel to32x
  4. Find the midsegmentx50
  5. Find the midsegmentx44
  6. Find the side the midsegment is parallel to22x
  7. Find the side the midsegment is parallel to16x
  8. Find the side the midsegment is parallel to18x
  9. Find the side the midsegment is parallel to23x
  10. Find the midsegmentx42
  11. Find the side the midsegment is parallel to19x
  12. Find the side the midsegment is parallel to14x
  13. Find the midsegmentx52
  14. Find the side the midsegment is parallel to28x
  15. Find the side the midsegment is parallel to27x
  16. Find the midsegmentx56
  17. Find the midsegmentx36
  18. Find the side the midsegment is parallel to21x
  19. Find the midsegmentx32
  20. Find the side the midsegment is parallel to24x

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

Sigma Prep · sigmaprep.io/worksheets

Name

Midsegments of TrianglesAnswer keyVersion 1

Date Period

Find each missing length.

  1. Find the side the midsegment is parallel to25x50
  2. Find the midsegmentx4824
  3. Find the side the midsegment is parallel to32x64
  4. Find the midsegmentx5025
  5. Find the midsegmentx4422
  6. Find the side the midsegment is parallel to22x44
  7. Find the side the midsegment is parallel to16x32
  8. Find the side the midsegment is parallel to18x36
  9. Find the side the midsegment is parallel to23x46
  10. Find the midsegmentx4221
  11. Find the side the midsegment is parallel to19x38
  12. Find the side the midsegment is parallel to14x28
  13. Find the midsegmentx5226
  14. Find the side the midsegment is parallel to28x56
  15. Find the side the midsegment is parallel to27x54
  16. Find the midsegmentx5628
  17. Find the midsegmentx3618
  18. Find the side the midsegment is parallel to21x42
  19. Find the midsegmentx3216
  20. Find the side the midsegment is parallel to24x48

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

How to do these

The third side is 18

  1. The midsegment is half of it.
  2. Half of 18.
  3. So the midsegment is 9.

The answer is 9.

Where students go wrong

Halving the wrong one. The midsegment is the short one and the side it is parallel to is the long one, so going from the midsegment back to the side means doubling, not halving.

Also called midsegment theorem or midline of a triangle.

Questions about these worksheets

Yes. Every midsegment of a triangle 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 midsegment of a triangle 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.

Halving the wrong one. The midsegment is the short one and the side it is parallel to is the long one, so going from the midsegment back to the side means doubling, not halving.