Coordinate Grid Worksheet for 11-Year-Olds: 20 Objective & 10 Subjective Questions on 2D Shapes and Translations

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Coordinate Grid Worksheet

Instructions

Read each question carefully. For Part 1, circle the correct answer or fill in the blanks. For Part 2, use the coordinate grids provided to plot points and draw shapes. Each grid line represents one unit. The horizontal line is the x-axis, and the vertical line is the y-axis. The point where they cross is the origin (0,0).

Part 1: Objective Questions (Questions 1-20)

Section A: Multiple Choice

Circle the letter of the best answer for each question.

  1. The coordinate pair (0,0) is also known as the:

    A) X-axis     B) Y-axis     C) Origin     D) Quadrant I

  2. In which quadrant would you find the point (-5, 10)?

    A) Quadrant I     B) Quadrant II     C) Quadrant III     D) Quadrant IV

  3. Which of these points lies on the y-axis?

    A) (4, 4)     B) (0, 7)     C) (7, 0)     D) (-1, -1)

  4. If you plot the points (2,1), (2,6), and (7,1), what shape do they form when connected?

    A) A square     B) An equilateral triangle     C) A straight line     D) A right-angled triangle

  5. Translating a shape means to:

    A) Rotate it     B) Flip it     C) Slide it     D) Enlarge it

  6. A point has a positive x-coordinate and a negative y-coordinate. In which quadrant is it?

    A) Quadrant I     B) Quadrant II     C) Quadrant III     D) Quadrant IV

  7. If the point (3, 4) is translated 5 units to the left, what are its new coordinates?

    A) (8, 4)     B) (3, 9)     C) (-2, 4)     D) (3, -1)

  8. Which set of points forms a horizontal line?

    A) (1,2), (1,4), (1,6)     B) (1,3), (2,4), (3,5)     C) (2,5), (4,5), (6,5)     D) (-1,1), (0,0), (1,-1)

  9. What are the coordinates for a point that is 6 units down from the origin?

    A) (6, 0)     B) (-6, 0)     C) (0, 6)     D) (0, -6)

  10. A square has vertices at (1,1), (1,4), and (4,4). What is the last vertex?

    A) (4, 1)     B) (1, 4)     C) (4, 0)     D) (0, 1)

Section B: True or False

Read each statement. Mark whether it is True or False.

  1. A vertical line has the same y-coordinate for all its points.
    ( ) True ( ) False
  2. The point (-8, -3) is in Quadrant IV.
    ( ) True ( ) False
  3. To translate a shape 5 units up, you add 5 to each x-coordinate.
    ( ) True ( ) False
  4. The points (2,2), (-2,2), (-2,-2), and (2,-2) form a square centered at the origin.
    ( ) True ( ) False
  5. The distance between (4, 5) and (9, 5) is 5 units.
    ( ) True ( ) False
Section C: Matching

Match the set of coordinates in Column A with the name of the shape they form in Column B. Write the correct letter in the blank.

Column A (Coordinates) Column B (Shape)
16. ___ (-3,1), (4,1), (4,5), (-3,5) A. Line Segment
17. ___ (5,-2), (8,-2) B. Right-angled Triangle
18. ___ (-7,-6), (-7,-2), (-4,-2) C. Square
19. ___ (-2,-2), (2,-2), (2,2), (-2,2) D. Isosceles Triangle
20. ___ (0,6), (-4,1), (4,1) E. Rectangle

Part 2: Subjective Questions (Questions 21-30)

Use the grids provided to answer the following questions. Label your shapes as instructed.

Questions 21-23:
  1. Plot the following points on the grid and connect them in order: A(-8, 1), B(-2, 1), C(-2, 6). Connect C back to A.
  2. What is the name of the shape you formed in Question 21?
  3. Calculate the area of the shape from Question 21. (Area of a triangle = ½ × base × height)
Questions 24-27:
  1. Plot a rectangle with vertices at D(3, -8), E(8, -8), F(8, -5), and G(3, -5). Label it "R1".
  2. Translate the rectangle "R1" 9 units to the left and 7 units up. Draw the new rectangle and label it "R2".
  3. What are the coordinates of the new vertices D', E', F', and G'?
  4. If you translate "R2" 2 units right and 4 units down, what are the coordinates of the new vertex F''?
Questions 28-30:
  1. A triangle, Shape A, has vertices at (-4, 2), (-1, 5), and (-1, 2). Another triangle, Shape B, has vertices at (3, -4), (6, -1), and (6, -4). Describe the translation that moves Shape A to Shape B.
  2. On the grid, draw a parallelogram that is NOT a rectangle or a square, has a height of 4 units, and has one vertex at (5, 5). List the coordinates of all four vertices.
  3. Three vertices of a square are P(-7, 7), Q(-3, 7), and R(-3, 3). What are the coordinates of the fourth vertex, S? Plot the square.

Answer Key

Part 1: Objective Questions

Section A: Multiple Choice
  1. C) Origin
  2. B) Quadrant II
  3. B) (0, 7)
  4. D) A right-angled triangle
  5. C) Slide it
  6. D) Quadrant IV
  7. C) (-2, 4)
  8. C) (2,5), (4,5), (6,5)
  9. D) (0, -6)
  10. A) (4, 1)
Section B: True or False
  1. False (It has the same x-coordinate)
  2. False (It is in Quadrant III)
  3. False (You add 5 to each y-coordinate)
  4. True
  5. True (The distance is 9 - 4 = 5)
Section C: Matching
  1. E. Rectangle
  2. A. Line Segment
  3. B. Right-angled Triangle
  4. C. Square
  5. D. Isosceles Triangle

Part 2: Subjective Questions

  1. The student should have a triangle plotted at A(-8, 1), B(-2, 1), C(-2, 6).
  2. Right-angled triangle.
  3. Base = 6 units (from -8 to -2 on the x-axis). Height = 5 units (from 1 to 6 on the y-axis). Area = ½ × 6 × 5 = 15 square units.
  4. Rectangle "R1" should be plotted at D(3, -8), E(8, -8), F(8, -5), G(3, -5).
  5. Rectangle "R2" should be plotted at D'(-6, -1), E'(-1, -1), F'(-1, 2), G'(-6, 2).
  6. D'(-6, -1), E'(-1, -1), F'(-1, 2), G'(-6, 2).
  7. F' is at (-1, 2). Translating 2 right and 4 down: F'' = (-1+2, 2-4) = (1, -2). The new vertex F'' is at (1, -2).
  8. The translation is 7 units to the right and 6 units down. (Example: take vertex (-4, 2). -4+7=3 and 2-6=-4. The new point is (3, -4), which matches.)
  9. Answers will vary. Example Answer: Vertices at (5, 5), (8, 5), (6, 1), and (3, 1). This is a parallelogram with a base of 3 and a height of 4.
  10. The fourth vertex S is at (-7, 3). The student should have a square plotted with these four vertices.
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