List everything the marks tell you. — a rectangle with marks, labeled A, B, C, D

m∠ D = 90°, m∠ B = 90°, m∠ A = 90°

List everything the marks tell you. — a right trapezoid with marks, labeled A, B, C, D

AB is parallel to DC, m∠ A = 90°

List everything the marks tell you. — a parallelogram with marks, labeled A, B, C, D

AB is congruent to DC, AD is parallel to BC, ∠ A is congruent to ∠ C

List everything the marks tell you. — a rhombus with marks, labeled A, B, C, D

AB is congruent to BC is congruent to CD is congruent to DA, AB is parallel to DC, AD is parallel to BC

List everything the marks tell you. — a kite with marks, labeled A, B, C, D

AB is congruent to AD, CB is congruent to CD, ∠ B is congruent to ∠ D

List everything the marks tell you. — a isosceles trapezoid with marks, labeled A, B, C, D

AB is parallel to DC, ∠ A is congruent to ∠ B, ∠ C is congruent to ∠ D

List everything the marks tell you. — two lines cut by a third, with marks, labeled K, L, P, B, J, E, T, G

KL is parallel to PB, PG is congruent to GB

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.

The preview can look cramped on a phone. The PDF and printed sheet come out normal.



Sigma Prep · sigmaprep.io/worksheets Name What the Marks Tell You Date Period Use the marks to answer each question. List everything the marks tell you. List everything the marks tell you. List everything the marks tell you. List everything the marks tell you. List everything the marks tell you. List everything the marks tell you. List everything the marks tell you. List everything the marks tell you. List everything the marks tell you. List everything the marks tell you. List everything the marks tell you. List everything the marks tell you. List everything the marks tell you. List everything the marks tell you. List everything the marks tell you. List everything the marks tell you. List everything the marks tell you. List everything the marks tell you. List everything the marks tell you. List everything the marks tell you. Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

What the Marks Tell You

Date Period

Use the marks to answer each question.

List everything the marks tell you.
List everything the marks tell you.
List everything the marks tell you.
List everything the marks tell you.
List everything the marks tell you.
List everything the marks tell you.
List everything the marks tell you.
List everything the marks tell you.
List everything the marks tell you.
List everything the marks tell you.
List everything the marks tell you.
List everything the marks tell you.
List everything the marks tell you.
List everything the marks tell you.
List everything the marks tell you.
List everything the marks tell you.
List everything the marks tell you.
List everything the marks tell you.
List everything the marks tell you.
List everything the marks tell you.



Sigma Prep · sigmaprep.io/worksheets Name What the Marks Tell YouAnswer keyVersion 1 Date Period Use the marks to answer each question. List everything the marks tell you. $m ∠ D = 90^{\circ}$ , $m ∠ B = 90^{\circ}$ , $m ∠ A = 90^{\circ}$ List everything the marks tell you. $\overline{A B} ∥ \overline{D C}$ , $m ∠ A = 90^{\circ}$ List everything the marks tell you. $\overline{A B} ≅ \overline{D C}$ , $\overline{A D} ∥ \overline{B C}$ , $∠ A ≅ ∠ C$ List everything the marks tell you. $\overline{A B} ≅ \overline{B C} ≅ \overline{C D} ≅ \overline{D A}$ , $\overline{A B} ∥ \overline{D C}$ , $\overline{A D} ∥ \overline{B C}$ List everything the marks tell you. $\overline{A B} ≅ \overline{A D}$ , $\overline{C B} ≅ \overline{C D}$ , $∠ B ≅ ∠ D$ List everything the marks tell you. $\overline{A B} ∥ \overline{D C}$ , $∠ A ≅ ∠ B$ , $∠ C ≅ ∠ D$ List everything the marks tell you. $\overline{A B} ≅ \overline{D C}$ , $\overline{A D} ≅ \overline{B C}$ List everything the marks tell you. $\overline{A D} ≅ \overline{B C}$ , $m ∠ D = 90^{\circ}$ , $m ∠ A = 90^{\circ}$ List everything the marks tell you. $\overline{A B} ∥ \overline{D C}$ , $\overline{A D} ∥ \overline{B C}$ List everything the marks tell you. $∠ A ≅ ∠ B$ , $∠ C ≅ ∠ D$ List everything the marks tell you. $\overline{A B} ≅ \overline{A D}$ , $\overline{C B} ≅ \overline{C D}$ List everything the marks tell you. $\overline{A B} ∥ \overline{D C}$ , $m ∠ A = 90^{\circ}$ , $m ∠ D = 90^{\circ}$ List everything the marks tell you. $\overline{A D} ≅ \overline{B C}$ , $∠ B ≅ ∠ D$ , $∠ A ≅ ∠ C$ List everything the marks tell you. $m ∠ D = 90^{\circ}$ , $m ∠ A = 90^{\circ}$ List everything the marks tell you. $\overline{A D} ≅ \overline{B C}$ , $\overline{A B} ∥ \overline{D C}$ , $m ∠ B = 90^{\circ}$ List everything the marks tell you. $\overline{A D} ∥ \overline{B C}$ , $∠ A ≅ ∠ C$ List everything the marks tell you. $\overline{A D} ≅ \overline{B C}$ , $\overline{A B} ∥ \overline{D C}$ List everything the marks tell you. $\overline{A B} ≅ \overline{D C}$ , $m ∠ C = 90^{\circ}$ List everything the marks tell you. $\overline{A B} ≅ \overline{B C} ≅ \overline{C D} ≅ \overline{D A}$ , $\overline{A B} ∥ \overline{D C}$ , $∠ A ≅ ∠ C$ List everything the marks tell you. $\overline{C B} ≅ \overline{C D}$ , $∠ B ≅ ∠ D$ 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

Use the marks to answer each question.

List everything the marks tell you. $m ∠ D = 90^{\circ}$ , $m ∠ B = 90^{\circ}$ , $m ∠ A = 90^{\circ}$
List everything the marks tell you. $\overline{A B} ∥ \overline{D C}$ , $m ∠ A = 90^{\circ}$
List everything the marks tell you. $\overline{A B} ≅ \overline{D C}$ , $\overline{A D} ∥ \overline{B C}$ , $∠ A ≅ ∠ C$
List everything the marks tell you. $\overline{A B} ≅ \overline{B C} ≅ \overline{C D} ≅ \overline{D A}$ , $\overline{A B} ∥ \overline{D C}$ , $\overline{A D} ∥ \overline{B C}$
List everything the marks tell you. $\overline{A B} ≅ \overline{A D}$ , $\overline{C B} ≅ \overline{C D}$ , $∠ B ≅ ∠ D$
List everything the marks tell you. $\overline{A B} ∥ \overline{D C}$ , $∠ A ≅ ∠ B$ , $∠ C ≅ ∠ D$
List everything the marks tell you. $\overline{A B} ≅ \overline{D C}$ , $\overline{A D} ≅ \overline{B C}$
List everything the marks tell you. $\overline{A D} ≅ \overline{B C}$ , $m ∠ D = 90^{\circ}$ , $m ∠ A = 90^{\circ}$
List everything the marks tell you. $\overline{A B} ∥ \overline{D C}$ , $\overline{A D} ∥ \overline{B C}$
List everything the marks tell you. $∠ A ≅ ∠ B$ , $∠ C ≅ ∠ D$
List everything the marks tell you. $\overline{A B} ≅ \overline{A D}$ , $\overline{C B} ≅ \overline{C D}$
List everything the marks tell you. $\overline{A B} ∥ \overline{D C}$ , $m ∠ A = 90^{\circ}$ , $m ∠ D = 90^{\circ}$
List everything the marks tell you. $\overline{A D} ≅ \overline{B C}$ , $∠ B ≅ ∠ D$ , $∠ A ≅ ∠ C$
List everything the marks tell you. $m ∠ D = 90^{\circ}$ , $m ∠ A = 90^{\circ}$
List everything the marks tell you. $\overline{A D} ≅ \overline{B C}$ , $\overline{A B} ∥ \overline{D C}$ , $m ∠ B = 90^{\circ}$
List everything the marks tell you. $\overline{A D} ∥ \overline{B C}$ , $∠ A ≅ ∠ C$
List everything the marks tell you. $\overline{A D} ≅ \overline{B C}$ , $\overline{A B} ∥ \overline{D C}$
List everything the marks tell you. $\overline{A B} ≅ \overline{D C}$ , $m ∠ C = 90^{\circ}$
List everything the marks tell you. $\overline{A B} ≅ \overline{B C} ≅ \overline{C D} ≅ \overline{D A}$ , $\overline{A B} ∥ \overline{D C}$ , $∠ A ≅ ∠ C$
List everything the marks tell you. $\overline{C B} ≅ \overline{C D}$ , $∠ B ≅ ∠ D$

How to do these

A trapezoid $A B C D$ with one arrow on $\overline{A B}$ and $\overline{D C}$ , and one tick on $\overline{A D}$ and $\overline{B C}$

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

The answer is $\overline{A D} ≅ \overline{B C}, \overline{A B} ∥ \overline{D C}$ .

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.

What you can put on this worksheet

Read the marks on a figure: List everything the marks tell you. — a isosceles right triangle with marks, labeled A, B, C → $\overline{A B} ≅ \overline{B C}$
Is it marked? True is not the same as shown: Is it marked in the figure that $∠ A ≅ ∠ C$ ? — a isosceles right triangle with marks, labeled A, B, C → No
Marks on crossing lines: List everything the marks tell you. — two lines cut by a third, with marks, labeled K, L, P, B, J, E, T, G → $\overline{K L} ∥ \overline{P B}$ , $\overline{P G} ≅ \overline{G B}$

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.

You pick from 3: read the marks on a figure, is it marked? true is not the same as shown and marks on crossing lines. Tick as many as you want and set how many of each, or let it spread them evenly.

Reading the marks on a diagram worksheet

Select your difficulty

How to do these

Where students go wrong

What you can put on this worksheet

Questions about these worksheets

Are these reading the marks on a diagram worksheets free?+

Do the reading the marks on a diagram worksheets come with an answer key?+

Are these reading the marks on a diagram worksheets printable?+

What grade are these reading the marks on a diagram worksheets for?+

Can I get a different version of the same reading the marks on a diagram worksheet?+

Is this a free alternative to Kuta Software for reading the marks on a diagram?+

Can I choose how hard the reading the marks on a diagram questions are?+

What kinds of question are on a reading the marks on a diagram worksheet?+

What do students get wrong with reading the marks on a diagram?+