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.
- What are the coordinates of point A?
Answer: (____, ____) - 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: (____, ____) - What are the coordinates of point C?
Answer: (____, ____) - What are the coordinates of point D?
Answer: (____, ____) - What are the coordinates of point E?
Answer: (____, ____) - What are the coordinates of the point where the x-axis and y-axis intersect (the origin)?
Answer: (____, ____) - What are the coordinates of point G?
Answer: (____, ____) - If a point F was on the x-axis at -4, what would its coordinates be?
Answer: (____, ____) - In which Quadrant would you find the point (-5, 10)?
Answer: _________ - In which Quadrant would you find the point (3, 9)?
Answer: _________ - In which Quadrant would you find the point (-1, -88)?
Answer: _________ - In which Quadrant would you find the point (20, -2)?
Answer: _________ - The y-axis is the... (a) horizontal line, or (b) vertical line?
Answer: _________ - The x-axis is the... (a) horizontal line, or (b) vertical line?
Answer: _________ - A point in Quadrant II has... (a) a positive x and positive y, or (b) a negative x and positive y?
Answer: _________ - A point in Quadrant IV has... (a) a positive x and negative y, or (b) a negative x and negative y?
Answer: _________ - Any point on the y-axis has an x-coordinate of ____.
- Any point on the x-axis has a y-coordinate of ____.
- To plot the point (8, -3), you would move 8 spaces to the ______ and 3 spaces ______.
- 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.
- Plot and label point P at (4, 3).
- Plot and label point Q at (-2, 5).
- Plot and label point R at (-3, -3).
- Plot and label point S at (1, -4).
- Plot and label point T at (0, -2).
- Plot points F(-5, 1), G(-1, 1), and H(-1, -2).
- Connect the points from question #6 in order (F to G, then G to H).
- What type of angle is formed at vertex G? (Right, Acute, or Obtuse?)
- Plot points J(2, 2), K(5, 4), and L(5, 0). Connect them to form a triangle.
- 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
- (2, 3)
- (-3, -3)
- (-2, -5)
- (5, -2)
- (1, 5)
- (0, 0)
- (3, 1)
- (-4, 0)
- Quadrant II
- Quadrant I
- Quadrant III
- Quadrant IV
- (b) vertical line
- (a) horizontal line
- (b) a negative x and positive y
- (a) a positive x and negative y
- 0
- 0
- right, down
- left, down
Part 2: Plotting Points
Your grid for questions 1-10 should look like this:
- Point P is at (4, 3).
- Point Q is at (-2, 5).
- Point R is at (-3, -3).
- Point S is at (1, -4).
- Point T is at (0, -2).
- Points F, G, and H are plotted correctly as shown on the grid.
- The points form two connected line segments.
- A Right angle (a perfect 90° corner) is formed at G.
- Triangle JKL is plotted correctly as shown on the grid.
- The coordinates for point M would be (2, 0). This would form a rectangle JKLM.