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Instructions

Welcome, future mathematician! This worksheet will test your skills with the coordinate grid. Remember, coordinates are always written as (x, y). The x-coordinate tells you how far to move left or right, and the y-coordinate tells you how far to move up or down.

Part 1: Reading Coordinates & Key Concepts (Objective)

Use the grid below to answer questions 1-8. For questions 9-20, use your knowledge of coordinate planes.

+Y | 5 | . . . E . . . . . . 4 | . . . . . . . . . . 3 | . . A . . . . . . . 2 | . . . . . . . . . . 1 | . . . . . . . G . . --+-----------------+- X -5 -4 -3 -2 -1| 0 1 2 3 4 5 -1| . . . . . . . . . . -2| . . . . . . . . . . D -3| . . H . . . . . . . -4| . . . . . . . . . . -5| . C . . . . . . . . | -Y

  1. What are the coordinates of point A?
    Answer: (____, ____)
  2. What are the coordinates of point B? (Oops, point B is hiding! Let's find point H instead.) What are the coordinates of point H?
    Answer: (____, ____)
  3. What are the coordinates of point C?
    Answer: (____, ____)
  4. What are the coordinates of point D?
    Answer: (____, ____)
  5. What are the coordinates of point E?
    Answer: (____, ____)
  6. What are the coordinates of the point where the x-axis and y-axis intersect (the origin)?
    Answer: (____, ____)
  7. What are the coordinates of point G?
    Answer: (____, ____)
  8. If a point F was on the x-axis at -4, what would its coordinates be?
    Answer: (____, ____)
  9. In which Quadrant would you find the point (-5, 10)?
    Answer: _________
  10. In which Quadrant would you find the point (3, 9)?
    Answer: _________
  11. In which Quadrant would you find the point (-1, -88)?
    Answer: _________
  12. In which Quadrant would you find the point (20, -2)?
    Answer: _________
  13. The y-axis is the... (a) horizontal line, or (b) vertical line?
    Answer: _________
  14. The x-axis is the... (a) horizontal line, or (b) vertical line?
    Answer: _________
  15. A point in Quadrant II has... (a) a positive x and positive y, or (b) a negative x and positive y?
    Answer: _________
  16. A point in Quadrant IV has... (a) a positive x and negative y, or (b) a negative x and negative y?
    Answer: _________
  17. Any point on the y-axis has an x-coordinate of ____.
  18. Any point on the x-axis has a y-coordinate of ____.
  19. To plot the point (8, -3), you would move 8 spaces to the ______ and 3 spaces ______.
  20. To plot the point (-1, -7), you would move 1 space to the ______ and 7 spaces ______.

Part 2: Plotting Points (Subjective)

Use the blank grid below to complete the following tasks. Draw and label each point carefully.

+Y ^ | 5 + . . . . .|. . . . . 4 + . . . . .|. . . . . 3 + . . . . .|. . . . . 2 + . . . . .|. . . . . 1 + . . . . .|. . . . . <-----+----------+-----------> +X -5 -4 -3 -2 -1| 1 2 3 4 5 -1 + . . . . .|. . . . . -2 + . . . . .|. . . . . -3 + . . . . .|. . . . . -4 + . . . . .|. . . . . -5 + . . . . .|. . . . . | v -Y

  1. Plot and label point P at (4, 3).
  2. Plot and label point Q at (-2, 5).
  3. Plot and label point R at (-3, -3).
  4. Plot and label point S at (1, -4).
  5. Plot and label point T at (0, -2).
  6. Plot points F(-5, 1), G(-1, 1), and H(-1, -2).
  7. Connect the points from question #6 in order (F to G, then G to H).
  8. What type of angle is formed at vertex G? (Right, Acute, or Obtuse?)
  9. Plot points J(2, 2), K(5, 4), and L(5, 0). Connect them to form a triangle.
  10. Imagine you need to add a point M to create a rectangle with points J, K, and L. What would be the coordinates of point M?

Answer Key

Part 1: Reading Coordinates & Key Concepts

  1. (2, 3)
  2. (-3, -3)
  3. (-2, -5)
  4. (5, -2)
  5. (1, 5)
  6. (0, 0)
  7. (3, 1)
  8. (-4, 0)
  9. Quadrant II
  10. Quadrant I
  11. Quadrant III
  12. Quadrant IV
  13. (b) vertical line
  14. (a) horizontal line
  15. (b) a negative x and positive y
  16. (a) a positive x and negative y
  17. 0
  18. 0
  19. right, down
  20. left, down

Part 2: Plotting Points

Your grid for questions 1-10 should look like this:

+Y ^ | 5 + . Q . . .|. . . . . 4 + . . . . .|. . . K . 3 + . . . . .|. . . P . 2 + . . . . .|. J . . . 1 + F---G . .|. . . . . <-----+-----|----+-----------> +X -5 -4 -3 -2 -1| 1 2 3 4 5 -1 + . . R . .|. . . . . -2 + . . . T H|. . . L . -3 + . . . . .|. . . . . -4 + . . . . .|. S . . . -5 + . . . . .|. . . . . | v -Y
  1. Point P is at (4, 3).
  2. Point Q is at (-2, 5).
  3. Point R is at (-3, -3).
  4. Point S is at (1, -4).
  5. Point T is at (0, -2).
  6. Points F, G, and H are plotted correctly as shown on the grid.
  7. The points form two connected line segments.
  8. A Right angle (a perfect 90° corner) is formed at G.
  9. Triangle JKL is plotted correctly as shown on the grid.
  10. The coordinates for point M would be (2, 0). This would form a rectangle JKLM.
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