Class 9 Mathematics Worksheet – Coordinate Geometry

Name: ____________________  Class: ________  Date: __________
Total Marks: 100

Section A: Very Short Answer Questions (20 × 1 = 20 Marks)

1. What is the point where the x-axis and y-axis intersect?
2. What are the coordinates of the origin?
3. Which coordinate represents the horizontal distance?
4. Which coordinate represents the vertical distance?
5. In which quadrant is the point (5, 4)?
6. In which quadrant is the point (−3, 7)?
7. In which quadrant is the point (−8, −6)?
8. In which quadrant is the point (9, −2)?
9. Write the coordinates of a point on the x-axis.
10. Write the coordinates of a point on the y-axis.
11. Which axis does the point (0, 8) lie on?
12. Which axis does the point (−5, 0) lie on?
13. Is the point (0,0) in any quadrant?
14. Write the sign of x-coordinate in Quadrant III.
15. Write the sign of y-coordinate in Quadrant IV.
16. Name the four quadrants.
17. Can two different points have the same coordinates?
18. Write one point in Quadrant II.
19. Write one point in Quadrant IV.
20. What is the x-coordinate of (−7, 9)?

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Section B: Short Answer Questions (20 × 2 = 40 Marks)

21. Plot A(3,4).
22. Plot B(−5,2).
23. Plot C(−4,−6).
24. Plot D(7,−3).
25. State the quadrant of (6,−8).
26. State the quadrant of (−9,5).
27. State the quadrant of (−2,−1).
28. State the quadrant of (8,6).
29. Write the coordinates of a point on positive x-axis.
30. Write the coordinates of a point on negative y-axis.
31. Which point lies on x-axis: (5,0) or (0,5)?
32. Which point lies on y-axis: (0,−8) or (−8,0)?
33. Compare the points (4,5) and (5,4).
34. Write two points having x-coordinate 3.
35. Write two points having y-coordinate −5.
36. Find the coordinates of the origin.
37. Which quadrant has both coordinates negative?
38. Which quadrant has x positive and y negative?
39. Which quadrant has x negative and y positive?
40. Which quadrant has both coordinates positive?

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Section C: Application Questions (15 × 2 = 30 Marks)

41. Plot A(2,3), B(5,3).
42. Plot P(−3,4), Q(−3,−2).
43. Plot M(6,0), N(0,6).
44. List all points lying on x-axis:

• A(5,0)
• B(0,6)
• C(−7,0)
• D(2,4)

45. List all points lying on y-axis:

• A(0,9)
• B(3,0)
• C(0,−6)
• D(4,5)

46. Write the quadrant of:

• (8,9)
• (−4,7)
• (−5,−2)
• (6,−8)

47. Draw the coordinate axes and mark:

• (2,2)
• (−2,2)
• (−2,−2)
• (2,−2)

48. Name the quadrants in anticlockwise order.
49. Plot five points of your choice in Quadrant I.
50. Plot five points of your choice in Quadrant II.
51. Plot five points of your choice in Quadrant III.
52. Plot five points of your choice in Quadrant IV.
53. Draw x-axis and y-axis using a ruler.
54. Mark the origin and label it O.
55. Draw a coordinate plane from −10 to +10.

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Section D: Higher Order Thinking Questions (10 × 1 = 10 Marks)

56. A point has x = 0. Can it belong to any quadrant? Explain.
57. A point has y = 0. Can it belong to any quadrant? Explain.
58. Can two points lie on the same vertical line? Give an example.
59. Can two points lie on the same horizontal line? Give an example.
60. If x is positive and y is negative, identify the quadrant.
61. If x is negative and y is positive, identify the quadrant.
62. If both coordinates are zero, where is the point located?
63. Write any three points on the x-axis.
64. Write any three points on the y-axis.
65. Draw and label all four quadrants neatly.

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Bonus Challenge (Optional)

1. Plot the points A(2,3), B(6,3), C(6,7), D(2,7). Name the figure formed.
2. Plot P(−4,−4), Q(4,−4), R(4,4), S(−4,4). Name the figure formed.
3. Write five real-life examples where coordinate geometry is used.
4. Create your own coordinate picture using at least 20 plotted points.
5. Write the coordinates of ten objects in your classroom by assuming a coordinate system.

Answer Key:

1. Origin
2. (0,0)
3. x-coordinate
4. y-coordinate
5. I Quadrant
6. II Quadrant
7. III Quadrant
8. IV Quadrant
9. (5,0)
10. (0,7)
11. y-axis
12. x-axis
13. No, it is the origin.
14. Negative
15. Negative
16. I, II, III, IV
17. No
18. (-2,3)
19. (4,-5)
20. -7
    21–24. Plot on the graph.
21. IV Quadrant
22. II Quadrant
23. III Quadrant
24. I Quadrant
25. (6,0)
26. (0,-8)
27. (5,0)
28. (0,-8)
29. Different points
30. (3,2), (3,-4)
31. (1,-5), (-3,-5)
32. (0,0)
33. III Quadrant
34. IV Quadrant
35. II Quadrant
36. I Quadrant
    41–43. Plot on the graph.
37. A and C
38. A and C
39. I, II, III, IV
40. Plot all four points.
41. I → II → III → IV
    49–52. Student’s own answers (plotting activity).
    53–55. Student’s own drawings.
42. No, it lies on the y-axis.
43. No, it lies on the x-axis.
44. Yes, if they have the same x-coordinate.
45. Yes, if they have the same y-coordinate.
46. IV Quadrant
47. II Quadrant
48. Origin (0,0)
49. (1,0), (4,0), (-5,0)
50. (0,2), (0,-6), (0,9)
51. Student’s own drawing.

Bonus Answers:

1. Rectangle
2. Square
3. Examples: GPS navigation, maps, computer graphics, architecture, game development.
4. Student’s own coordinate picture.
5. Student’s own classroom coordinate system.