Worksheets · Geometry

Classifying quadrilaterals worksheet

Work out the four sides as vectors. Equal slopes mean parallel, equal lengths mean equal sides, and a zero dot product means a right angle, and those three tests separate every quadrilateral there is.

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

Sigma Prep · sigmaprep.io/worksheets

Name

Classifying Quadrilaterals

Date Period

Name each quadrilateral.

  1. Name the quadrilateral: (−6,−1), (2,−1), (4,4), (−4,4)
  2. Name the quadrilateral: (−2,3), (3,3), (4,7), (−1,7)
  3. Name the quadrilateral: (−5,−2), (1,−2), (1,4), (−5,4)
  4. Name the quadrilateral: (−4,−9), (−1,−5), (−4,−1), (−7,−5)
  5. Name the quadrilateral: (−1,1), (2,1), (2,7), (−1,7)
  6. Name the quadrilateral: (1,−5), (6,−5), (10,1), (5,1)
  7. Name the quadrilateral: (1,−5), (7,−5), (7,1), (1,1)
  8. Name the quadrilateral: (−5,1), (1,1), (1,7), (−5,7)
  9. Name the quadrilateral: (−6,0), (−3,0), (−3,8), (−6,8)
  10. Name the quadrilateral: (−2,−3), (6,−3), (10,2), (2,2)
  11. Name the quadrilateral: (2,−1), (5,3), (2,7), (−1,3)
  12. Name the quadrilateral: (2,−4), (9,−4), (9,3), (2,3)
  13. Name the quadrilateral: (1,−20), (9,−5), (1,10), (−7,−5)
  14. Name the quadrilateral: (−5,−1), (−2,3), (−5,7), (−8,3)
  15. Name the quadrilateral: (−5,−2), (1,−2), (1,3), (−5,3)
  16. Name the quadrilateral: (−6,2), (−2,2), (−1,5), (−5,5)
  17. Name the quadrilateral: (−4,−20), (4,−5), (−4,10), (−12,−5)
  18. Name the quadrilateral: (−3,−5), (0,−5), (2,0), (−1,0)
  19. Name the quadrilateral: (−5,−1), (−1,−1), (3,2), (−1,2)
  20. Name the quadrilateral: (3,−2), (6,2), (3,6), (0,2)

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

Sigma Prep · sigmaprep.io/worksheets

Name

Classifying QuadrilateralsAnswer keyVersion 1

Date Period

Name each quadrilateral.

  1. Name the quadrilateral: (−6,−1), (2,−1), (4,4), (−4,4)Parallelogram
  2. Name the quadrilateral: (−2,3), (3,3), (4,7), (−1,7)Parallelogram
  3. Name the quadrilateral: (−5,−2), (1,−2), (1,4), (−5,4)Square
  4. Name the quadrilateral: (−4,−9), (−1,−5), (−4,−1), (−7,−5)Rhombus
  5. Name the quadrilateral: (−1,1), (2,1), (2,7), (−1,7)Rectangle
  6. Name the quadrilateral: (1,−5), (6,−5), (10,1), (5,1)Parallelogram
  7. Name the quadrilateral: (1,−5), (7,−5), (7,1), (1,1)Square
  8. Name the quadrilateral: (−5,1), (1,1), (1,7), (−5,7)Square
  9. Name the quadrilateral: (−6,0), (−3,0), (−3,8), (−6,8)Rectangle
  10. Name the quadrilateral: (−2,−3), (6,−3), (10,2), (2,2)Parallelogram
  11. Name the quadrilateral: (2,−1), (5,3), (2,7), (−1,3)Rhombus
  12. Name the quadrilateral: (2,−4), (9,−4), (9,3), (2,3)Square
  13. Name the quadrilateral: (1,−20), (9,−5), (1,10), (−7,−5)Rhombus
  14. Name the quadrilateral: (−5,−1), (−2,3), (−5,7), (−8,3)Rhombus
  15. Name the quadrilateral: (−5,−2), (1,−2), (1,3), (−5,3)Rectangle
  16. Name the quadrilateral: (−6,2), (−2,2), (−1,5), (−5,5)Parallelogram
  17. Name the quadrilateral: (−4,−20), (4,−5), (−4,10), (−12,−5)Rhombus
  18. Name the quadrilateral: (−3,−5), (0,−5), (2,0), (−1,0)Parallelogram
  19. Name the quadrilateral: (−5,−1), (−1,−1), (3,2), (−1,2)Parallelogram
  20. Name the quadrilateral: (3,−2), (6,2), (3,6), (0,2)Rhombus

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

How to do these

(0,0), (4,0), (4,4), (0,4)

  1. All four sides have length 4.
  2. Both pairs are parallel.
  3. And they meet at right angles.

The answer is Square.

Where students go wrong

Stopping at parallelogram. A square is one too, and so is a rhombus and a rectangle; the question wants the most specific name that fits, so keep testing.

Also called identifying quadrilaterals, quadrilaterals on the coordinate plane or square rectangle rhombus parallelogram.

Questions about these worksheets

Yes. Every classifying quadrilaterals 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 classifying quadrilaterals 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.

Stopping at parallelogram. A square is one too, and so is a rhombus and a rectangle; the question wants the most specific name that fits, so keep testing.