Coordinates (age 8+) · seed 1 · A4, ink-friendly. The answer key prints on its own page for grown-ups.

Drawing shapes with coordinates

Mathematics · Geometry · ages 8-9
Name ______________________   Date ____________

  1. Corners (1,1), (1,4), (5,4) and (5,1) are joined in order. How many units tall is the left side?

    Answer: ______________

  2. In the point (5, 1), what does the 5 tell you?

    • Move 5 up
    • Move 1 right
    • Move 5 right
    • Move 5 left

  3. After you plot all the corners of a shape, what should you do to finish it?

    • Connect the points in order with straight lines, ending back at the first point
    • Erase the points and start again
    • Color in the points without connecting them

  4. When drawing a shape from plotted points, you must also connect the very last point back to the first point to close the shape.

    Circle one:   True   False

  5. A square has corners (2,2), (2,5) and (5,2). How long is each side?

    Answer: ______________

  6. You have plotted two corners of a triangle at (2,1) and (2,5). The third corner is at (6,3). Now what should you do to finish the triangle?

    • Draw a curved line between the points
    • Draw three straight lines connecting all three points
    • Leave the points on the grid without connecting them

  7. Three corners of a square are (0,0), (0,3) and (3,0). Where is the fourth?

    • (3,3)
    • (0,3)
    • (3,0)
    • (1,1)

  8. Lena says the missing corner of the square (0,0), (0,3), (3,0) is (3,3). Is Lena right?

    Circle one:   True   False

  9. Ben needs to plot the last corner of a square with corners at (3,2), (3,7), (8,7). He plots it at (2,8). What mistake did he make?

    • He drew a triangle instead of a square
    • He picked the correct corner
    • He swapped the x-number and the y-number

  10. Which set of points makes a rectangle?

    • (1,1), (2,4), (5,4), (5,1)
    • (1,1), (1,4), (5,4), (5,1)
    • (1,1), (1,4), (5,4), (5,2)
    • (0,0), (0,4), (5,4), (4,1)
LightMySky · lightmysky.comW1-mt_i5_HnoFOYw-s1

Answer key

For grown-ups. Fold this page away before handing over the rest.

Drawing shapes with coordinates W1-mt_i5_HnoFOYw-s1

  1. 3 · The left side joins (1,1) to (1,4), a gap of 3.
  2. Move 5 right · The across number comes before the comma, so 5 means 5 right.
  3. Connect the points in order with straight lines, ending back at the first point · Straight lines connect each point to the next one, and the last line goes back to the very first point to close the shape.
  4. True · Closing the shape means every point connects to two neighbors, including linking the last point back to the first.
  5. 3 · From y = 2 to y = 5 is 3 units, so each side is 3.
  6. Draw three straight lines connecting all three points · A triangle always has three straight sides, so you connect each pair of corners with one.
  7. (3,3) · (3,3) closes the square. The other points repeat corners or sit inside.
  8. True · Lena is right: (3,3) sits 3 across and 3 up.
  9. He swapped the x-number and the y-number · Ben mixed up which number was the x-coordinate and which was the y-coordinate. The correct corner is (8,2).
  10. (1,1), (1,4), (5,4), (5,1) · (1,1), (1,4), (5,4), (5,1) has matching vertical and flat sides. Each other set breaks one side.
Worksheet · LightMySky