Is the triangle with A(0, -6), B(5, -4), C(4, 1) a right triangle? Justify with slopes.

No: no two sides are perpendicular

Use the midpoints of the diagonals to decide whether A(-2, -2), B(0, -2), C(-1, 0), D(-3, 0) form a parallelogram.

Midpoint of AC is (-3/2, -1), of BD is (-3/2, -1); yes, the diagonals bisect each other

Classify quadrilateral ABCD with A(0, 2), B(2, -1), C(-1, 1), D(-3, 4) as exactly as you can. Use slopes and side lengths.

Rhombus: all sides sqrt(13), AB is perpendicular to BC

Is the triangle with A(-4, -5), B(-1, -7), C(3, -1) a right triangle? Justify with slopes.

Yes: AB is perpendicular to BC (slopes -2/3 and 3/2)

Use the midpoints of the diagonals to decide whether A(1, -4), B(7, -2), C(9, 1), D(1, -1) form a parallelogram.

Midpoint of AC is (5, -3/2), of BD is (4, -3/2); no

Classify quadrilateral ABCD with A(1, 0), B(0, -2), C(2, -3), D(3, -1) as exactly as you can. Use slopes and side lengths.

Square: all sides sqrt(5), AB is perpendicular to BC

Is the triangle with A(-1, -6), B(4, -7), C(6, 3) a right triangle? Justify with slopes.

Yes: AB is perpendicular to BC (slopes -1/5 and 5)

Use the midpoints of the diagonals to decide whether A(-4, -5), B(1, -4), C(0, -2), D(-5, -3) form a parallelogram.

Midpoint of AC is (-2, -7/2), of BD is (-2, -7/2); yes, the diagonals bisect each other

Classify quadrilateral ABCD with A(2, -4), B(4, 0), C(0, 2), D(-2, -2) as exactly as you can. Use slopes and side lengths.

Square: all sides 2sqrt(5), AB is perpendicular to BC

Is the triangle with A(-4, -6), B(-2, -1), C(-7, 1) a right triangle? Justify with slopes.

Yes: AB is perpendicular to BC (slopes 5/2 and -2/5)

Use the midpoints of the diagonals to decide whether A(1, 1), B(6, 0), C(4, 2), D(-1, 3) form a parallelogram.

Midpoint of AC is (5/2, 3/2), of BD is (5/2, 3/2); yes, the diagonals bisect each other

Classify quadrilateral ABCD with A(-2, 3), B(-4, 2), C(-5, 0), D(-3, 1) as exactly as you can. Use slopes and side lengths.

Rhombus: all sides sqrt(5), AB is perpendicular to BC

Is the triangle with A(4, -3), B(1, -8), C(-4, -7) a right triangle? Justify with slopes.

No: no two sides are perpendicular

Use the midpoints of the diagonals to decide whether A(0, 0), B(3, -2), C(8, 1), D(3, 3) form a parallelogram.

Midpoint of AC is (4, 1/2), of BD is (3, 1/2); no

Classify quadrilateral ABCD with A(1, 2), B(3, -1), C(9, 3), D(7, 6) as exactly as you can. Use slopes and side lengths.

Rectangle: AB = sqrt(13), BC = 2sqrt(13), AB is perpendicular to BC

Is the triangle with A(-1, 0), B(0, -3), C(6, -1) a right triangle? Justify with slopes.

Yes: AB is perpendicular to BC (slopes -3 and 1/3)

Use the midpoints of the diagonals to decide whether A(-2, -1), B(3, -3), C(3, 1), D(-2, 3) form a parallelogram.

Midpoint of AC is (1/2, 0), of BD is (1/2, 0); yes, the diagonals bisect each other

Classify quadrilateral ABCD with A(-3, 3), B(0, 1), C(6, 10), D(3, 12) as exactly as you can. Use slopes and side lengths.

Rectangle: AB = sqrt(13), BC = 3sqrt(13), AB is perpendicular to BC

Worksheets · Geometry

Coordinate proofs worksheet

A coordinate proof turns a geometric claim into arithmetic. Slopes show parallel and perpendicular sides, the distance formula shows equal sides, and midpoints show diagonals that bisect each other.

Select your difficulty

Pick more than one for a sheet that mixes them.



Sigma Prep · sigmaprep.io/worksheets Name Coordinate Proofs Date Period Answer each question, and justify it with coordinates. Is the triangle with $A (0, - 6)$ , $B (5, - 4)$ , $C (4, 1)$ a right triangle? Justify with slopes. Use the midpoints of the diagonals to decide whether $A (- 2, - 2)$ , $B (0, - 2)$ , $C (- 1, 0)$ , $D (- 3, 0)$ form a parallelogram. Classify the triangle with vertices $(- 2, 1)$ , $(- 2, 5)$ and $(- 3, 3)$ by its sides and by its angles. Classify quadrilateral $A B C D$ with $A (0, 2)$ , $B (2, - 1)$ , $C (- 1, 1)$ , $D (- 3, 4)$ as exactly as you can. Use slopes and side lengths. Is the triangle with $A (- 4, - 5)$ , $B (- 1, - 7)$ , $C (3, - 1)$ a right triangle? Justify with slopes. Use the midpoints of the diagonals to decide whether $A (1, - 4)$ , $B (7, - 2)$ , $C (9, 1)$ , $D (1, - 1)$ form a parallelogram. Classify the triangle with vertices $(3, 2)$ , $(11, - 1)$ and $(0, 10)$ by its sides and by its angles. Classify quadrilateral $A B C D$ with $A (1, 0)$ , $B (0, - 2)$ , $C (2, - 3)$ , $D (3, - 1)$ as exactly as you can. Use slopes and side lengths. Is the triangle with $A (- 1, - 6)$ , $B (4, - 7)$ , $C (6, 3)$ a right triangle? Justify with slopes. Use the midpoints of the diagonals to decide whether $A (- 4, - 5)$ , $B (1, - 4)$ , $C (0, - 2)$ , $D (- 5, - 3)$ form a parallelogram. Classify the triangle with vertices $(- 3, 1)$ , $(3, 1)$ and $(0, - 3)$ by its sides and by its angles. Classify quadrilateral $A B C D$ with $A (2, - 4)$ , $B (4, 0)$ , $C (0, 2)$ , $D (- 2, - 2)$ as exactly as you can. Use slopes and side lengths. Is the triangle with $A (- 4, - 6)$ , $B (- 2, - 1)$ , $C (- 7, 1)$ a right triangle? Justify with slopes. Use the midpoints of the diagonals to decide whether $A (1, 1)$ , $B (6, 0)$ , $C (4, 2)$ , $D (- 1, 3)$ form a parallelogram. Classify the triangle with vertices $(- 3, 2)$ , $(1, 5)$ and $(4, 8)$ by its sides and by its angles. Classify quadrilateral $A B C D$ with $A (- 2, 3)$ , $B (- 4, 2)$ , $C (- 5, 0)$ , $D (- 3, 1)$ as exactly as you can. Use slopes and side lengths. Is the triangle with $A (4, - 3)$ , $B (1, - 8)$ , $C (- 4, - 7)$ a right triangle? Justify with slopes. Use the midpoints of the diagonals to decide whether $A (0, 0)$ , $B (3, - 2)$ , $C (8, 1)$ , $D (3, 3)$ form a parallelogram. Classify the triangle with vertices $(- 4, 1)$ , $(0, 0)$ and $(- 1, 13)$ by its sides and by its angles. Classify quadrilateral $A B C D$ with $A (1, 2)$ , $B (3, - 1)$ , $C (9, 3)$ , $D (7, 6)$ as exactly as you can. Use slopes and side lengths. Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Coordinate Proofs

Date Period

Answer each question, and justify it with coordinates.

Is the triangle with $A (0, - 6)$ , $B (5, - 4)$ , $C (4, 1)$ a right triangle? Justify with slopes.
Use the midpoints of the diagonals to decide whether $A (- 2, - 2)$ , $B (0, - 2)$ , $C (- 1, 0)$ , $D (- 3, 0)$ form a parallelogram.
Classify the triangle with vertices $(- 2, 1)$ , $(- 2, 5)$ and $(- 3, 3)$ by its sides and by its angles.
Classify quadrilateral $A B C D$ with $A (0, 2)$ , $B (2, - 1)$ , $C (- 1, 1)$ , $D (- 3, 4)$ as exactly as you can. Use slopes and side lengths.
Is the triangle with $A (- 4, - 5)$ , $B (- 1, - 7)$ , $C (3, - 1)$ a right triangle? Justify with slopes.
Use the midpoints of the diagonals to decide whether $A (1, - 4)$ , $B (7, - 2)$ , $C (9, 1)$ , $D (1, - 1)$ form a parallelogram.
Classify the triangle with vertices $(3, 2)$ , $(11, - 1)$ and $(0, 10)$ by its sides and by its angles.
Classify quadrilateral $A B C D$ with $A (1, 0)$ , $B (0, - 2)$ , $C (2, - 3)$ , $D (3, - 1)$ as exactly as you can. Use slopes and side lengths.
Is the triangle with $A (- 1, - 6)$ , $B (4, - 7)$ , $C (6, 3)$ a right triangle? Justify with slopes.
Use the midpoints of the diagonals to decide whether $A (- 4, - 5)$ , $B (1, - 4)$ , $C (0, - 2)$ , $D (- 5, - 3)$ form a parallelogram.
Classify the triangle with vertices $(- 3, 1)$ , $(3, 1)$ and $(0, - 3)$ by its sides and by its angles.
Classify quadrilateral $A B C D$ with $A (2, - 4)$ , $B (4, 0)$ , $C (0, 2)$ , $D (- 2, - 2)$ as exactly as you can. Use slopes and side lengths.
Is the triangle with $A (- 4, - 6)$ , $B (- 2, - 1)$ , $C (- 7, 1)$ a right triangle? Justify with slopes.
Use the midpoints of the diagonals to decide whether $A (1, 1)$ , $B (6, 0)$ , $C (4, 2)$ , $D (- 1, 3)$ form a parallelogram.
Classify the triangle with vertices $(- 3, 2)$ , $(1, 5)$ and $(4, 8)$ by its sides and by its angles.
Classify quadrilateral $A B C D$ with $A (- 2, 3)$ , $B (- 4, 2)$ , $C (- 5, 0)$ , $D (- 3, 1)$ as exactly as you can. Use slopes and side lengths.
Is the triangle with $A (4, - 3)$ , $B (1, - 8)$ , $C (- 4, - 7)$ a right triangle? Justify with slopes.
Use the midpoints of the diagonals to decide whether $A (0, 0)$ , $B (3, - 2)$ , $C (8, 1)$ , $D (3, 3)$ form a parallelogram.
Classify the triangle with vertices $(- 4, 1)$ , $(0, 0)$ and $(- 1, 13)$ by its sides and by its angles.
Classify quadrilateral $A B C D$ with $A (1, 2)$ , $B (3, - 1)$ , $C (9, 3)$ , $D (7, 6)$ as exactly as you can. Use slopes and side lengths.



Sigma Prep · sigmaprep.io/worksheets Name Coordinate ProofsAnswer keyVersion 1 Date Period Answer each question, and justify it with coordinates. Is the triangle with $A (0, - 6)$ , $B (5, - 4)$ , $C (4, 1)$ a right triangle? Justify with slopes.No: no two sides are perpendicular Use the midpoints of the diagonals to decide whether $A (- 2, - 2)$ , $B (0, - 2)$ , $C (- 1, 0)$ , $D (- 3, 0)$ form a parallelogram.Midpoint of $\overline{A C}$ is $(- \frac{3}{2}, - 1)$ , of $\overline{B D}$ is $(- \frac{3}{2}, - 1)$ ; yes, the diagonals bisect each other Classify the triangle with vertices $(- 2, 1)$ , $(- 2, 5)$ and $(- 3, 3)$ by its sides and by its angles.Isosceles, obtuse Classify quadrilateral $A B C D$ with $A (0, 2)$ , $B (2, - 1)$ , $C (- 1, 1)$ , $D (- 3, 4)$ as exactly as you can. Use slopes and side lengths.Rhombus: all sides $\sqrt{13}$ , $\overline{A B} ⊥̸ \overline{B C}$ Is the triangle with $A (- 4, - 5)$ , $B (- 1, - 7)$ , $C (3, - 1)$ a right triangle? Justify with slopes.Yes: $\overline{A B} ⊥ \overline{B C}$ (slopes $- \frac{2}{3}$ and $\frac{3}{2}$ ) Use the midpoints of the diagonals to decide whether $A (1, - 4)$ , $B (7, - 2)$ , $C (9, 1)$ , $D (1, - 1)$ form a parallelogram.Midpoint of $\overline{A C}$ is $(5, - \frac{3}{2})$ , of $\overline{B D}$ is $(4, - \frac{3}{2})$ ; no Classify the triangle with vertices $(3, 2)$ , $(11, - 1)$ and $(0, 10)$ by its sides and by its angles.Isosceles, obtuse Classify quadrilateral $A B C D$ with $A (1, 0)$ , $B (0, - 2)$ , $C (2, - 3)$ , $D (3, - 1)$ as exactly as you can. Use slopes and side lengths.Square: all sides $\sqrt{5}$ , $\overline{A B} ⊥ \overline{B C}$ Is the triangle with $A (- 1, - 6)$ , $B (4, - 7)$ , $C (6, 3)$ a right triangle? Justify with slopes.Yes: $\overline{A B} ⊥ \overline{B C}$ (slopes $- \frac{1}{5}$ and $5$ ) Use the midpoints of the diagonals to decide whether $A (- 4, - 5)$ , $B (1, - 4)$ , $C (0, - 2)$ , $D (- 5, - 3)$ form a parallelogram.Midpoint of $\overline{A C}$ is $(- 2, - \frac{7}{2})$ , of $\overline{B D}$ is $(- 2, - \frac{7}{2})$ ; yes, the diagonals bisect each other Classify the triangle with vertices $(- 3, 1)$ , $(3, 1)$ and $(0, - 3)$ by its sides and by its angles.Isosceles, acute Classify quadrilateral $A B C D$ with $A (2, - 4)$ , $B (4, 0)$ , $C (0, 2)$ , $D (- 2, - 2)$ as exactly as you can. Use slopes and side lengths.Square: all sides $2 \sqrt{5}$ , $\overline{A B} ⊥ \overline{B C}$ Is the triangle with $A (- 4, - 6)$ , $B (- 2, - 1)$ , $C (- 7, 1)$ a right triangle? Justify with slopes.Yes: $\overline{A B} ⊥ \overline{B C}$ (slopes $\frac{5}{2}$ and $- \frac{2}{5}$ ) Use the midpoints of the diagonals to decide whether $A (1, 1)$ , $B (6, 0)$ , $C (4, 2)$ , $D (- 1, 3)$ form a parallelogram.Midpoint of $\overline{A C}$ is $(\frac{5}{2}, \frac{3}{2})$ , of $\overline{B D}$ is $(\frac{5}{2}, \frac{3}{2})$ ; yes, the diagonals bisect each other Classify the triangle with vertices $(- 3, 2)$ , $(1, 5)$ and $(4, 8)$ by its sides and by its angles.Scalene, obtuse Classify quadrilateral $A B C D$ with $A (- 2, 3)$ , $B (- 4, 2)$ , $C (- 5, 0)$ , $D (- 3, 1)$ as exactly as you can. Use slopes and side lengths.Rhombus: all sides $\sqrt{5}$ , $\overline{A B} ⊥̸ \overline{B C}$ Is the triangle with $A (4, - 3)$ , $B (1, - 8)$ , $C (- 4, - 7)$ a right triangle? Justify with slopes.No: no two sides are perpendicular Use the midpoints of the diagonals to decide whether $A (0, 0)$ , $B (3, - 2)$ , $C (8, 1)$ , $D (3, 3)$ form a parallelogram.Midpoint of $\overline{A C}$ is $(4, \frac{1}{2})$ , of $\overline{B D}$ is $(3, \frac{1}{2})$ ; no Classify the triangle with vertices $(- 4, 1)$ , $(0, 0)$ and $(- 1, 13)$ by its sides and by its angles.Scalene, right Classify quadrilateral $A B C D$ with $A (1, 2)$ , $B (3, - 1)$ , $C (9, 3)$ , $D (7, 6)$ as exactly as you can. Use slopes and side lengths.Rectangle: $A B = \sqrt{13}$ , $B C = 2 \sqrt{13}$ , $\overline{A B} ⊥ \overline{B C}$ Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Coordinate ProofsAnswer keyVersion 1

Date Period

Answer each question, and justify it with coordinates.

Is the triangle with $A (0, - 6)$ , $B (5, - 4)$ , $C (4, 1)$ a right triangle? Justify with slopes.No: no two sides are perpendicular
Use the midpoints of the diagonals to decide whether $A (- 2, - 2)$ , $B (0, - 2)$ , $C (- 1, 0)$ , $D (- 3, 0)$ form a parallelogram.Midpoint of $\overline{A C}$ is $(- \frac{3}{2}, - 1)$ , of $\overline{B D}$ is $(- \frac{3}{2}, - 1)$ ; yes, the diagonals bisect each other
Classify the triangle with vertices $(- 2, 1)$ , $(- 2, 5)$ and $(- 3, 3)$ by its sides and by its angles.Isosceles, obtuse
Classify quadrilateral $A B C D$ with $A (0, 2)$ , $B (2, - 1)$ , $C (- 1, 1)$ , $D (- 3, 4)$ as exactly as you can. Use slopes and side lengths.Rhombus: all sides $\sqrt{13}$ , $\overline{A B} ⊥̸ \overline{B C}$
Is the triangle with $A (- 4, - 5)$ , $B (- 1, - 7)$ , $C (3, - 1)$ a right triangle? Justify with slopes.Yes: $\overline{A B} ⊥ \overline{B C}$ (slopes $- \frac{2}{3}$ and $\frac{3}{2}$ )
Use the midpoints of the diagonals to decide whether $A (1, - 4)$ , $B (7, - 2)$ , $C (9, 1)$ , $D (1, - 1)$ form a parallelogram.Midpoint of $\overline{A C}$ is $(5, - \frac{3}{2})$ , of $\overline{B D}$ is $(4, - \frac{3}{2})$ ; no
Classify the triangle with vertices $(3, 2)$ , $(11, - 1)$ and $(0, 10)$ by its sides and by its angles.Isosceles, obtuse
Classify quadrilateral $A B C D$ with $A (1, 0)$ , $B (0, - 2)$ , $C (2, - 3)$ , $D (3, - 1)$ as exactly as you can. Use slopes and side lengths.Square: all sides $\sqrt{5}$ , $\overline{A B} ⊥ \overline{B C}$
Is the triangle with $A (- 1, - 6)$ , $B (4, - 7)$ , $C (6, 3)$ a right triangle? Justify with slopes.Yes: $\overline{A B} ⊥ \overline{B C}$ (slopes $- \frac{1}{5}$ and $5$ )
Use the midpoints of the diagonals to decide whether $A (- 4, - 5)$ , $B (1, - 4)$ , $C (0, - 2)$ , $D (- 5, - 3)$ form a parallelogram.Midpoint of $\overline{A C}$ is $(- 2, - \frac{7}{2})$ , of $\overline{B D}$ is $(- 2, - \frac{7}{2})$ ; yes, the diagonals bisect each other
Classify the triangle with vertices $(- 3, 1)$ , $(3, 1)$ and $(0, - 3)$ by its sides and by its angles.Isosceles, acute
Classify quadrilateral $A B C D$ with $A (2, - 4)$ , $B (4, 0)$ , $C (0, 2)$ , $D (- 2, - 2)$ as exactly as you can. Use slopes and side lengths.Square: all sides $2 \sqrt{5}$ , $\overline{A B} ⊥ \overline{B C}$
Is the triangle with $A (- 4, - 6)$ , $B (- 2, - 1)$ , $C (- 7, 1)$ a right triangle? Justify with slopes.Yes: $\overline{A B} ⊥ \overline{B C}$ (slopes $\frac{5}{2}$ and $- \frac{2}{5}$ )
Use the midpoints of the diagonals to decide whether $A (1, 1)$ , $B (6, 0)$ , $C (4, 2)$ , $D (- 1, 3)$ form a parallelogram.Midpoint of $\overline{A C}$ is $(\frac{5}{2}, \frac{3}{2})$ , of $\overline{B D}$ is $(\frac{5}{2}, \frac{3}{2})$ ; yes, the diagonals bisect each other
Classify the triangle with vertices $(- 3, 2)$ , $(1, 5)$ and $(4, 8)$ by its sides and by its angles.Scalene, obtuse
Classify quadrilateral $A B C D$ with $A (- 2, 3)$ , $B (- 4, 2)$ , $C (- 5, 0)$ , $D (- 3, 1)$ as exactly as you can. Use slopes and side lengths.Rhombus: all sides $\sqrt{5}$ , $\overline{A B} ⊥̸ \overline{B C}$
Is the triangle with $A (4, - 3)$ , $B (1, - 8)$ , $C (- 4, - 7)$ a right triangle? Justify with slopes.No: no two sides are perpendicular
Use the midpoints of the diagonals to decide whether $A (0, 0)$ , $B (3, - 2)$ , $C (8, 1)$ , $D (3, 3)$ form a parallelogram.Midpoint of $\overline{A C}$ is $(4, \frac{1}{2})$ , of $\overline{B D}$ is $(3, \frac{1}{2})$ ; no
Classify the triangle with vertices $(- 4, 1)$ , $(0, 0)$ and $(- 1, 13)$ by its sides and by its angles.Scalene, right
Classify quadrilateral $A B C D$ with $A (1, 2)$ , $B (3, - 1)$ , $C (9, 3)$ , $D (7, 6)$ as exactly as you can. Use slopes and side lengths.Rectangle: $A B = \sqrt{13}$ , $B C = 2 \sqrt{13}$ , $\overline{A B} ⊥ \overline{B C}$

How to do these

Is the triangle with $A (1, 1)$ , $B (4, 5)$ , $C (8, 2)$ a right triangle? Justify with slopes.

The slope of AB is 4/3.
The slope of BC is -3/4.
The slopes multiply to -1, so the sides are perpendicular.

The answer is Yes: $\overline{A B} ⊥ \overline{B C}$ (slopes $\frac{4}{3}$ and $- \frac{3}{4}$ ).

Where students go wrong

Showing one pair of sides parallel and calling it a parallelogram. That could be a trapezoid; both pairs have to be parallel.

Also called proofs with coordinates, coordinate geometry proofs or slope and distance proofs.

What you can put on this worksheet

Is it a right triangle?: Is the triangle with $A (- 1, 0)$ , $B (0, - 3)$ , $C (6, - 1)$ a right triangle? Justify with slopes. → Yes: $\overline{A B} ⊥ \overline{B C}$ (slopes $- 3$ and $\frac{1}{3}$ )
Diagonals that bisect each other: Use the midpoints of the diagonals to decide whether $A (- 2, - 1)$ , $B (3, - 3)$ , $C (3, 1)$ , $D (- 2, 3)$ form a parallelogram. → Midpoint of $\overline{A C}$ is $(\frac{1}{2}, 0)$ , of $\overline{B D}$ is $(\frac{1}{2}, 0)$ ; yes, the diagonals bisect each other
From the vertices: Classify the triangle with vertices $(0, 1)$ , $(2, 1)$ and $(3, 4)$ by its sides. → Scalene
Classify from the vertices: Classify quadrilateral $A B C D$ with $A (- 3, 3)$ , $B (0, 1)$ , $C (6, 10)$ , $D (3, 12)$ as exactly as you can. Use slopes and side lengths. → Rectangle: $A B = \sqrt{13}$ , $B C = 3 \sqrt{13}$ , $\overline{A B} ⊥ \overline{B C}$

Questions about these worksheets

Yes. Every coordinate proofs 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 coordinate proofs 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 4: is it a right triangle?, diagonals that bisect each other, from the vertices and classify from the vertices. Tick as many as you want and set how many of each, or let it spread them evenly.

Showing one pair of sides parallel and calling it a parallelogram. That could be a trapezoid; both pairs have to be parallel.

Coordinate proofs worksheet

Select your difficulty

Coordinate Proofs

Coordinate ProofsAnswer keyVersion 1

How to do these

Where students go wrong

What you can put on this worksheet

Questions about these worksheets

Are these coordinate proofs worksheets free?+

Do the coordinate proofs worksheets come with an answer key?+

Are these coordinate proofs worksheets printable?+

What grade are these coordinate proofs worksheets for?+

Can I get a different version of the same coordinate proofs worksheet?+

Is this a free alternative to Kuta Software for coordinate proofs?+

Can I choose how hard the coordinate proofs questions are?+

What kinds of question are on a coordinate proofs worksheet?+

What do students get wrong with coordinate proofs?+