The Class 9 Maths Chapter 1 Orienting Yourself The Use of Coordinates Worksheet helps students understand the basics of coordinate geometry through structured practice questions. This worksheet focuses on important concepts like the Cartesian coordinate system, x-axis, y-axis, origin, ordered pairs, quadrants, and plotting points on a graph.
These Worksheets are designed according to the latest CBSE Board Class 9 Maths learning approach to improve conceptual understanding and problem-solving skills. Students can use this practice resource to revise important topics and learn how coordinates are used to locate positions in maps, graphs, and real-life situations.
Our collection of Class 9 Worksheets provides chapter-wise practice material for better preparation. This Class 9 Maths Worksheets resource includes basic questions, concept-based problems, application questions, and an answer key with solutions to help students check their learning effectively.
By solving this worksheet, students can build a strong foundation in coordinate geometry and become confident in representing and analysing points on a two-dimensional plane.
Download Class 9 Orienting Yourself The Use of Coordinates Worksheet PDF with Answers
Students can download the Class 9 Maths Chapter 1 Orienting Yourself The Use of Coordinates Worksheet PDF with answers for regular practice and revision. The worksheet contains different types of questions based on the Cartesian plane, coordinate axes, ordered pairs, and quadrants.
This worksheet helps students:
- Understand the use of coordinates in mathematics
- Identify the position of points on a graph
- Practice plotting points using ordered pairs
- Learn the signs of coordinates in different quadrants
- Apply coordinate concepts in real-life situations
- The answer key is also provided to help students verify their responses and improve accuracy.
Download Class 9 Maths Chapter 1 Orienting Yourself The Use of Coordinates Worksheet PDF with Answers
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Class 9 Orienting Yourself The Use of Coordinates Worksheet Questions
Basic Questions
1. Fill in the blanks.
a) The horizontal line in the Cartesian plane is called the ________.
b) The point where the x-axis and y-axis meet is known as the ________.
c) A point in a plane is represented using an ordered pair written as ________.
d) The y-coordinate of any point on the x-axis is always ________.
2. Write whether the following statements are True or False.
a) The Cartesian plane is divided into four quadrants.
b) The coordinates of the origin are (1,1).
c) The x-coordinate is also called the abscissa.
d) A point in Quadrant III has both coordinates negative.
3. Identify the abscissa and ordinate of the following points.
a) (5, 8)
b) (-4, 7)
c) (6, -3)
d) (-2, -9)
Concept Questions
4. Write the quadrant in which each point lies.
a) A(4, 6)
b) B(-3, 5)
c) C(-7, -2)
d) D(8, -4)
5. Answer the following questions.
a) What is a Cartesian coordinate system?
b) Explain the difference between the x-axis and y-axis.
c) Why is the origin represented as (0,0)?
d) What are the signs of coordinates in all four quadrants?
6. Find the coordinates based on the given information.
a) A point is 5 units right of the origin and 3 units above the x-axis.
b) A point lies on the y-axis and is 7 units below the origin.
c) A point lies on the x-axis and is 4 units left of the origin.
Application Questions
7. Plot the following points on a Cartesian plane.
A(2,3), B(-4,5), C(-3,-2), D(6,-4)
8. A student starts from the origin on a graph. He moves 6 units towards the right and then 4 units upwards. Find the coordinates of his final position.
9. A map uses a coordinate system to locate places. A school is located at (3,5), and a library is located at (-2,5).
Answer the following:
a) Are both places on the same horizontal line?
b) Which coordinate value is the same for both locations?
Class 9 Orienting Yourself The Use of Coordinates Worksheet Answer Key with Solutions
1. Answers
a) x-axis
b) origin
c) (x, y)
d) 0
2. Answers
a) True
b) False
c) True
d) True
3. Answers
a) Abscissa = 5, Ordinate = 8
b) Abscissa = -4, Ordinate = 7
c) Abscissa = 6, Ordinate = -3
d) Abscissa = -2, Ordinate = -9
4. Answers
a) Quadrant I
b) Quadrant II
c) Quadrant III
d) Quadrant IV
5. Answers
a) A Cartesian coordinate system is a two-dimensional system used to locate points using the x-axis and y-axis.
b) The x-axis is the horizontal number line, while the y-axis is the vertical number line.
c) The origin is represented as (0,0) because it is the point where both coordinate axes meet.
d) Signs of coordinates:
Quadrant I: (+,+)
Quadrant II: (-,+)
Quadrant III: (-,-)
Quadrant IV: (+,-)
6. Answers
a) (5,3)
b) (0,-7)
c) (-4,0)
7. Answer
Students should correctly plot all points on the Cartesian plane according to their x-coordinate and y-coordinate values.
8. Answer
Starting point = (0,0)
6 units right = x-coordinate 6
4 units upward = y-coordinate 4
Final position = (6,4)
9. Answer
a) Yes, both places are on the same horizontal line.
b) The y-coordinate value 5 is the same.
Concepts Covered in Orienting Yourself The Use of Coordinates Worksheet
The Class 9 Maths Chapter 1 Orienting Yourself The Use of Coordinates Worksheet covers the following important concepts:
| Concept | Description |
|---|---|
| Cartesian Plane | A two-dimensional plane used to represent points |
| Coordinate Axes | Horizontal x-axis and vertical y-axis |
| Origin | The point (0,0) where both axes meet |
| Ordered Pair | A pair of numbers written as (x,y) |
| Abscissa | The x-coordinate of a point |
| Ordinate | The y-coordinate of a point |
| Quadrants | Four regions formed by coordinate axes |
| Plotting Points | Representing coordinates on graph paper |
Learning Outcomes After Solving this Worksheet
After completing this Class 9 Maths Chapter 1 Worksheet, students will be able to:
- Understand the Cartesian coordinate system clearly
- Identify the x-axis, y-axis, and origin
- Read and write coordinates of different points
- Differentiate between abscissa and ordinate
- Recognise the signs of coordinates in four quadrants
- Plot ordered pairs correctly on graph paper
- Apply coordinate geometry concepts in daily-life examples like maps and locations
