Worksheets · Geometry

Reading the marks on a diagram worksheet

A diagram is not drawn to scale, so only its marks can be trusted. Matching tick marks mean congruent sides, matching arcs mean congruent angles, matching arrowheads mean parallel sides, and a small square means a right angle. Two ticks only match other sides with two ticks.

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

What the Marks Tell You

Date Period

List everything the marks tell you.

  1. List everything the marks tell you.ABCD
  2. List everything the marks tell you.ABCD
  3. List everything the marks tell you.ABCD
  4. List everything the marks tell you.ABCD
  5. List everything the marks tell you.ABCD
  6. List everything the marks tell you.ABCD
  7. List everything the marks tell you.ABCD
  8. List everything the marks tell you.ABCD
  9. List everything the marks tell you.ABCD
  10. List everything the marks tell you.ABCD
  11. List everything the marks tell you.ABCD
  12. List everything the marks tell you.ABCD
  13. List everything the marks tell you.ABCD
  14. List everything the marks tell you.ABCD
  15. List everything the marks tell you.ABCD
  16. List everything the marks tell you.ABCD
  17. List everything the marks tell you.ABCD
  18. List everything the marks tell you.ABCD
  19. List everything the marks tell you.ABCD
  20. List everything the marks tell you.ABCD

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

Sigma Prep · sigmaprep.io/worksheets

Name

What the Marks Tell YouAnswer keyVersion 1

Date Period

List everything the marks tell you.

  1. List everything the marks tell you.ABCD∠D=90∘, ∠B=90∘, ∠A=90∘
  2. List everything the marks tell you.ABCDAB‾∥DC‾, ∠A=90∘
  3. List everything the marks tell you.ABCDAD‾≅BC‾, AB‾∥DC‾
  4. List everything the marks tell you.ABCDAB‾≅BC‾≅CD‾≅DA‾, AB‾∥DC‾
  5. List everything the marks tell you.ABCDAD‾≅BC‾, AB‾≅DC‾
  6. List everything the marks tell you.ABCDAD‾≅BC‾, AB‾≅DC‾, ∠B≅∠D
  7. List everything the marks tell you.ABCDAD‾∥BC‾, ∠A≅∠C
  8. List everything the marks tell you.ABCDAB‾≅DC‾, ∠D=90∘
  9. List everything the marks tell you.ABCD∠D=90∘, ∠A=90∘
  10. List everything the marks tell you.ABCDAD‾≅BC‾, AB‾∥DC‾
  11. List everything the marks tell you.ABCDAB‾∥DC‾, ∠C≅∠D, ∠A≅∠B
  12. List everything the marks tell you.ABCDAD‾∥BC‾, ∠A≅∠C, ∠B≅∠D
  13. List everything the marks tell you.ABCDAB‾≅DC‾, AD‾∥BC‾, ∠B≅∠D
  14. List everything the marks tell you.ABCDAB‾≅DC‾, AD‾≅BC‾, AB‾∥DC‾
  15. List everything the marks tell you.ABCDCB‾≅CD‾, AB‾≅AD‾, ∠B≅∠D
  16. List everything the marks tell you.ABCDAB‾∥DC‾, ∠D=90∘, ∠A=90∘
  17. List everything the marks tell you.ABCDAD‾≅BC‾, ∠C≅∠D
  18. List everything the marks tell you.ABCDAB‾∥DC‾, ∠C≅∠D
  19. List everything the marks tell you.ABCDAD‾∥BC‾, AB‾∥DC‾, ∠A≅∠C
  20. List everything the marks tell you.ABCDAB‾≅AD‾, CB‾≅CD‾

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

How to do these

A trapezoid ABCD with one arrow on AB‾ and DC‾, and one tick on AD‾ and BC‾

  1. The arrows pair AB with DC: they are parallel.
  2. The single ticks pair AD with BC: they are congruent.

The answer is AD‾≅BC‾, AB‾∥DC‾.

Where students go wrong

Reading the shape instead of the marks. A figure that looks like a rectangle is only known to have right angles where the squares are, and sides that look equal are only congruent when they carry the same tick marks.

Also called geometric marks, reading diagrams, tick marks, congruence marks or what can you conclude from the diagram.

Questions about these worksheets

Yes. Every reading the marks on a diagram 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 reading the marks on a diagram 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.

Reading the shape instead of the marks. A figure that looks like a rectangle is only known to have right angles where the squares are, and sides that look equal are only congruent when they carry the same tick marks.