Worksheets · Pre-Algebra

Coordinate plane worksheet for Pre-Algebra

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.

Also taught in Geometry, at its own level and with its own examples.

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.

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. Name the point or its coordinates

    What are the coordinates of point B?−10−10−5−5551010ABCD
  2. Which point is at (8,6)?−10−10−5−5551010ABCD
  3. Which point is at (8,−3)?−10−10−5−5551010ABCD
  4. What are the coordinates of point A?−10−10−5−5551010ABCD

  1. Name the axis or quadrant

    Where is the point (−10,−9)?
  2. Where is the point (−3,0)?
  3. Where is the point (18,−19)?
  4. Where is the point (0,9)?
  5. Where is the point (4,1)?
  6. Where is the point (−3,1)?
  7. Where is the point (−4,−11)?

  1. Plot the points

    Plot and labelA(0,−1),B(3,−1)C(7,−2),D(7,−6)−10−10−5−5551010
  2. Plot and labelA(−8,−8),B(−1,−4)C(5,3),D(−2,0)−10−10−5−5551010
  3. Plot and labelA(−7,6),B(0,1)C(5,6),D(−2,4)−10−10−5−5551010

  1. Find the distance between the points

    Find the distance between (−2,5) and (−2,−10)
  2. Find the distance between (9,−8) and (3,−8)
  3. Find the distance between (5,−7) and (−7,−7)

  1. Find the rectangle's perimeter, area or both

    A rectangle has vertices A(0,−6), B(0,−3), C(10,−3), D(10,−6). Find its perimeter and area.
  2. A rectangle has vertices A(−6,−6), B(−6,−3), C(−2,−3), D(−2,−6). Find its area.
  3. A rectangle has vertices A(−7,−5), B(−7,0), C(2,0), D(2,−5). Find its perimeter.

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. Name the point or its coordinates

    What are the coordinates of point B?−10−10−5−5551010ABCD(1,9)
  2. Which point is at (8,6)?−10−10−5−5551010ABCDB
  3. Which point is at (8,−3)?−10−10−5−5551010ABCDC
  4. What are the coordinates of point A?−10−10−5−5551010ABCD(−2,8)

  1. Name the axis or quadrant

    Where is the point (−10,−9)?Quadrant III
  2. Where is the point (−3,0)?On the negative x-axis
  3. Where is the point (18,−19)?Quadrant IV
  4. Where is the point (0,9)?On the positive y-axis
  5. Where is the point (4,1)?Quadrant I
  6. Where is the point (−3,1)?Quadrant II
  7. Where is the point (−4,−11)?Quadrant III

  1. Plot the points

    Plot and labelA(0,−1),B(3,−1)C(7,−2),D(7,−6)−10−10−5−5551010ABCDA on the y-axis; B in Quadrant IV; C in Quadrant IV; D in Quadrant IV
  2. Plot and labelA(−8,−8),B(−1,−4)C(5,3),D(−2,0)−10−10−5−5551010ABCDA in Quadrant III; B in Quadrant III; C in Quadrant I; D on the x-axis
  3. Plot and labelA(−7,6),B(0,1)C(5,6),D(−2,4)−10−10−5−5551010ABCDA in Quadrant II; B on the y-axis; C in Quadrant I; D in Quadrant II

  1. Find the distance between the points

    Find the distance between (−2,5) and (−2,−10)15 units
  2. Find the distance between (9,−8) and (3,−8)6 units
  3. Find the distance between (5,−7) and (−7,−7)12 units

  1. Find the rectangle's perimeter, area or both

    A rectangle has vertices A(0,−6), B(0,−3), C(10,−3), D(10,−6). Find its perimeter and area.perimeter 26 units, area 30 square units
  2. A rectangle has vertices A(−6,−6), B(−6,−3), C(−2,−3), D(−2,−6). Find its area.12 square units
  3. A rectangle has vertices A(−7,−5), B(−7,0), C(2,0), D(2,−5). Find its perimeter.28 units

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 label
A(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 positive 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.