Worksheets · Geometry

Properties of trapezoids worksheet

The median joins the midpoints of the two legs, and its length is the average of the two bases. Because the bases are parallel, the two angles on a leg add to 180.

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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

Properties of Trapezoids

Date Period

Find each missing measure.

  1. Find the median of a trapezoid with bases 4 and 28
  2. A trapezoid has one base 48 and median 32. Find the other base
  3. Find the other angle on that leg80°xABCD
  4. Find the median of a trapezoid with bases 26 and 10
  5. A trapezoid has one base 14 and median 12. Find the other base
  6. Find the other angle on that leg40°xABCD
  7. Find the median of a trapezoid with bases 40 and 16
  8. A trapezoid has one base 34 and median 31. Find the other base
  9. Find the other angle on that leg115°xABCD
  10. Find the median of a trapezoid with bases 48 and 14
  11. A trapezoid has one base 10 and median 14. Find the other base
  12. Find the other angle on that leg55°xABCD
  13. Find the median of a trapezoid with bases 8 and 16
  14. A trapezoid has one base 32 and median 37. Find the other base
  15. Find the other angle on that leg140°xABCD
  16. Find the median of a trapezoid with bases 46 and 42
  17. A trapezoid has one base 8 and median 6. Find the other base
  18. Find the other angle on that leg130°xABCD
  19. Find the median of a trapezoid with bases 36 and 10
  20. A trapezoid has one base 46 and median 28. Find the other base

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

Sigma Prep · sigmaprep.io/worksheets

Name

Properties of TrapezoidsAnswer keyVersion 1

Date Period

Find each missing measure.

  1. Find the median of a trapezoid with bases 4 and 2816
  2. A trapezoid has one base 48 and median 32. Find the other base16
  3. Find the other angle on that leg80°xABCD100
  4. Find the median of a trapezoid with bases 26 and 1018
  5. A trapezoid has one base 14 and median 12. Find the other base10
  6. Find the other angle on that leg40°xABCD140
  7. Find the median of a trapezoid with bases 40 and 1628
  8. A trapezoid has one base 34 and median 31. Find the other base28
  9. Find the other angle on that leg115°xABCD65
  10. Find the median of a trapezoid with bases 48 and 1431
  11. A trapezoid has one base 10 and median 14. Find the other base18
  12. Find the other angle on that leg55°xABCD125
  13. Find the median of a trapezoid with bases 8 and 1612
  14. A trapezoid has one base 32 and median 37. Find the other base42
  15. Find the other angle on that leg140°xABCD40
  16. Find the median of a trapezoid with bases 46 and 4244
  17. A trapezoid has one base 8 and median 6. Find the other base4
  18. Find the other angle on that leg130°xABCD50
  19. Find the median of a trapezoid with bases 36 and 1023
  20. A trapezoid has one base 46 and median 28. Find the other base10

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

How to do these

Bases of 8 and 14

  1. The median is the average.
  2. Eight plus fourteen is 22.
  3. Half of that is 11.

The answer is 11.

Where students go wrong

Averaging the wrong pair. It is the two parallel sides that get averaged, not the two legs, and on a picture the legs are the ones that look more interesting.

Also called midsegment of a trapezoid, median of a trapezoid or isosceles trapezoid.

What you can put on this worksheet

The median
Find the median of a trapezoid with bases 12 and 14 13
A base from the median
A trapezoid has one base 12 and median 13. Find the other base 14
Angles on a leg
Find the other angle on that leg 80

Questions about these worksheets

Yes. Every properties of trapezoids 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 properties of trapezoids 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 3: the median, a base from the median and angles on a leg. Tick as many as you want and set how many of each, or let it spread them evenly.

Averaging the wrong pair. It is the two parallel sides that get averaged, not the two legs, and on a picture the legs are the ones that look more interesting.