Worksheets · Pre-Algebra

Coordinate plane worksheet

A point is written (x, y). The x tells you how far across from the origin, right for positive and left for negative. The y tells you how far up or down. The two axes split the plane into four quadrants, numbered I to IV counterclockwise from the top right.

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

The Coordinate Plane

Date Period

Answer each question.

  1. What are the coordinates of point B?-10-10-5-55510100ABCD
  2. Where is the point (10,−3)?
  3. Plot and labelA(−2,−1),B(3,−1)C(7,−2),D(7,−6)-10-10-5-55510100
  4. Find the distance between (5,12) and (5,−7)
  5. Where is the point (−3,−3)?
  6. A rectangle has vertices A(−7,0), B(−7,3), C(0,3), D(0,0). Find its area.
  7. What are the coordinates of point B?-10-10-5-55510100ABCD
  8. Where is the point (20,14)?
  9. Plot and labelA(8,−1),B(−8,8)C(−6,2),D(−4,−4)-10-10-5-55510100
  10. Find the distance between (3,0) and (3,1)
  11. Where is the point (11,0)?
  12. A rectangle has vertices A(−5,−7), B(−5,2), C(−1,2), D(−1,−7). Find its area.
  13. What are the coordinates of point C?-10-10-5-55510100ABCD
  14. Where is the point (−11,5)?
  15. Plot and labelA(−8,7),B(0,−8)C(7,−3),D(7,−1)-10-10-5-55510100
  16. Find the distance between (−2,1) and (−2,−5)
  17. Where is the point (0,0)?
  18. A rectangle has vertices A(−5,2), B(−5,9), C(4,9), D(4,2). Find its area.
  19. What are the coordinates of point A?-10-10-5-55510100ABCD
  20. Where is the point (−2,−16)?

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

Sigma Prep · sigmaprep.io/worksheets

Name

The Coordinate PlaneAnswer keyVersion 1

Date Period

Answer each question.

  1. What are the coordinates of point B?-10-10-5-55510100ABCD(1,9)
  2. Where is the point (10,−3)?Quadrant IV
  3. Plot and labelA(−2,−1),B(3,−1)C(7,−2),D(7,−6)-10-10-5-55510100ABCDA in Quadrant III; B in Quadrant IV; C in Quadrant IV; D in Quadrant IV
  4. Find the distance between (5,12) and (5,−7)19 units
  5. Where is the point (−3,−3)?In Quadrant III
  6. A rectangle has vertices A(−7,0), B(−7,3), C(0,3), D(0,0). Find its area.21 square units
  7. What are the coordinates of point B?-10-10-5-55510100ABCD(2,7)
  8. Where is the point (20,14)?Quadrant I
  9. Plot and labelA(8,−1),B(−8,8)C(−6,2),D(−4,−4)-10-10-5-55510100ABCDA in Quadrant IV; B in Quadrant II; C in Quadrant II; D in Quadrant III
  10. Find the distance between (3,0) and (3,1)1 unit
  11. Where is the point (11,0)?On the x-axis
  12. A rectangle has vertices A(−5,−7), B(−5,2), C(−1,2), D(−1,−7). Find its area.36 square units
  13. What are the coordinates of point C?-10-10-5-55510100ABCD(−7,−8)
  14. Where is the point (−11,5)?Quadrant II
  15. Plot and labelA(−8,7),B(0,−8)C(7,−3),D(7,−1)-10-10-5-55510100ABCDA in Quadrant II; B on the y-axis; C in Quadrant IV; D in Quadrant IV
  16. Find the distance between (−2,1) and (−2,−5)6 units
  17. Where is the point (0,0)?At the origin
  18. A rectangle has vertices A(−5,2), B(−5,9), C(4,9), D(4,2). Find its area.63 square units
  19. What are the coordinates of point A?-10-10-5-55510100ABCD(3,−5)
  20. Where is the point (−2,−16)?Quadrant III

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

How to do these

Where is the point (−4,7)?

  1. x is negative, so the point is left of the y-axis.
  2. y is positive, so it is above the x-axis.
  3. Left and up is the top left: quadrant II.

The answer is Quadrant II.

Where students go wrong

Swapping the two numbers: going up by x and across by y. The first number is always across. The other slip is calling a point on an axis part of a quadrant; (0, 5) sits on the y-axis and is in none of them.

Also called ordered pairs, plotting points, quadrants, naming points on a graph or coordinates of a point.

What you can put on this worksheet

Name the coordinates of a point
What are the coordinates of point B? → (7,1)
Which quadrant a point is in
Where is the point (6,1)? → Quadrant I
Plot points
Plot and labelA(5,1),B(−5,−8)C(−7,8) → A in Quadrant I; B in Quadrant III; C in Quadrant II
Distance along a grid line
Find the distance between (6,1) and (7,1) → 1 unit
On an axis, or in a quadrant
Where is the point (0,9)? → On the y-axis
A rectangle from its vertices
A rectangle has vertices A(−2,−2), B(−2,0), C(6,0), D(6,−2). Find its perimeter. → 20 units

Questions about these worksheets

Yes. Every coordinate plane 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.

Pre-Algebra is usually taken around 7th or 8th 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 plane 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 6: name the coordinates of a point, which quadrant a point is in, plot points, distance along a grid line, on an axis, or in a quadrant and a rectangle from its vertices. Tick as many as you want and set how many of each, or let it spread them evenly.

Swapping the two numbers: going up by x and across by y. The first number is always across. The other slip is calling a point on an axis part of a quadrant; (0, 5) sits on the y-axis and is in none of them.