Home › Worksheets › CBSE Grade 9 Math › Coordinate Geometry Prepared by Mohsim Digital Education
Name: _________________________
Date: _________________________
Score: _______ / 40
The point (0, −5) sits on the y-axis and the abscissa of (−3, 7) is −3, so naming axes and reading coordinates takes up the opening of this Grade 9 sheet. The key also answers Third quadrant and a zero-coordinate result.
Key Takeaways
(0, −5) lies on the y-axis (Q1).
The abscissa of (−3, 7) is −3 (Q2).
The key records a Third quadrant answer.
Section A: Multiple Choice Questions (1 Mark Each)
Choose the correct option for each question.
1.
The point (0, -5) lies on the
(a) x-axis (b) y-axis (c) origin (d) none of these
2.
The abscissa of the point (-3, 7) is
(a) -3 (b) 7 (c) 0 (d) 4
3.
The point (-4, -4) lies in which quadrant?
(a) First (b) Second (c) Third (d) Fourth
4.
The point (-3, 0) lies on the
(a) positive x-axis (b) negative x-axis (c) positive y-axis (d) negative y-axis
5.
The ordinate of every point on the x-axis is
(a) 0 (b) 1 (c) -1 (d) x
6.
The perpendicular distance of the point P(5, 2) from the x-axis is
(a) 5 (b) 2 (c) 7 (d) 3
Section B: Short Answer Type Questions (2 Marks Each)
Show all steps clearly.
7.
Write the coordinates of the point where the x-axis and the y-axis intersect.
8.
In which quadrant does the point (-2, 3) lie?
9.
Write the abscissa and the ordinate of the point (4, -6).
10.
Find the distance of the point (3, 4) from the origin.
11.
Write the coordinates of a point on the positive x-axis at a distance of 7 units from the origin.
12.
Name the axis on which the point (0, 8) lies.
13.
If the abscissa of a point is zero, where does the point lie?
14.
Write the coordinates of the point whose abscissa is -5 and ordinate is 0.
Section C: Numericals & Word Problems (3 Marks Each)
Apply the concepts to solve the problems. Show all working.
15.
A point P lies in the fourth quadrant. Its abscissa is 3 and its distance from the x-axis is 4. Write the coordinates of P.
16.
Rohan starts from the origin, moves 5 units to the right along the x-axis and then 6 units upward. Write the coordinates of his final position.
17.
The points A(2, 0) and B(6, 0) lie on the x-axis. Find the distance between A and B.
18.
A point lies at a distance of 4 units from the y-axis and 3 units from the x-axis in the first quadrant. Write its coordinates.
19.
Three vertices of a square are A(1, 1), B(4, 1) and C(4, 4). Find the coordinates of the fourth vertex D and the area of the square.
20.
A bird flies in a straight line from the point (2, 3) to the point (2, -4). Find the distance it covers.
Answer Key
1. b) y-axis
2. a) -3
3. c) Third
4. b) negative x-axis
5. a) 0
6. b) 2
7. Refer to solution guide.
8. Refer to solution guide.
9. Refer to solution guide.
10. Refer to solution guide.
11. Refer to solution guide.
12. Refer to solution guide.
13. Refer to solution guide.
14. Refer to solution guide.
15. Refer to solution guide.
16. Refer to solution guide.
17. Refer to solution guide.
18. Refer to solution guide.
19. Refer to solution guide.
20. Refer to solution guide.
End of Worksheet
People Also Ask
On which axis does (0, −5) lie?
The y-axis, option (b) in this worksheet (Q1).
What is the abscissa of (−3, 7)?
−3, option (a) in this worksheet (Q2).
Which quadrant is named in the key?
The Third quadrant.