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SparkEd Math offers 60+ practice questions for Coordinate Geometry Introduction across 3 difficulty levels (Easy, Medium, Hard) plus a timed test mode. Each question comes with visual step-by-step solutions and AI coaching hints.

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Is SparkEd's Coordinate Geometry Introduction content aligned with the ICSE syllabus?

Yes, all Coordinate Geometry Introduction questions and lessons on SparkEd Math are fully aligned with the Indian Certificate of Secondary Education (ICSE) syllabus for Class 8. The content follows the official curriculum structure and exam pattern.

Coordinate Geometry Introduction — Class 8 ICSE (2025-26)

About Coordinate Geometry Introduction — Class 8 ICSE

Plot points on the Cartesian plane, identify quadrants, and read coordinates. This topic is part of the ICSE Class 8 mathematics syllabus (chapter: Chapter 17). On this page you can practice 60 questions across three difficulty levels — 20 easy, 20 medium, and 20 hard — each with a visual step-by-step solution, plus a timed 35-question mastery test with a live leaderboard. Worked examples and sample questions from the topic are below.

What you'll learn in Coordinate Geometry Introduction

Introduction to Coordinate Geometry: The Cartesian Plane
Plotting Points: Coordinates and Ordered Pairs
Identifying Quadrants: Divided Plane
Reading Coordinates & Special Points
Summary, ICSE Connections & Practice Preparation

Interactive lesson · about 15 minutes · checkpoint question after every unit

Coordinate Geometry Introduction — solved examples for Class 8 ICSE

Example 1easy

The point where the x-axis and y-axis intersect is called the _______.

A)A. Quadrant
B)B. Coordinate
C)C. Origin
D)D. Abscissa

Step-by-step solution

The Cartesian plane is formed by the intersection of a horizontal x-axis and a vertical y-axis.
The point where these two axes intersect is the fundamental reference point (0,0).
This specific point is known as the Origin.

Answer: C. Origin

Example 2medium

A point M is located 3 units to the right of the y-axis and 4 units above the x-axis. What are its coordinates?

A)(3, 4)
B)(4, 3)
C)(-3, 4)
D)(3, -4)

Step-by-step solution

Moving 3 units to the right of the y-axis means the x-coordinate is +3.
Moving 4 units above the x-axis means the y-coordinate is +4.
Therefore, the coordinates of point M are (3, 4).

Answer: (3, 4)

Example 3hard

A point P(a, b) is such that a × b < 0, and a > 0. If P' is the reflection of P about the x-axis, and P'' is the reflection of P' about the y-axis, in which quadrant does P'' lie?

A)Quadrant I
B)Quadrant II
C)Quadrant III
D)Quadrant IV

Step-by-step solution

Given a × b < 0, it means 'a' and 'b' have opposite signs. Since a > 0, it implies b < 0. Therefore, P(a, b) lies in Quadrant IV (positive x, negative y).
Reflection of P(a, b) about the x-axis gives P'(a, -b). Since P is (positive, negative), P' will be (positive, positive) because -b will be positive. So P' is in Quadrant I.
Reflection of P'(a, -b) about the y-axis gives P''(-a, -b). Since 'a' is positive, -a will be negative. Since -b is positive, -b remains positive. So P'' is (negative, positive).
A point with a negative x-coordinate and a positive y-coordinate lies in Quadrant II.

Answer: Quadrant II

Practice questions on Coordinate Geometry Introduction

Q1.easy
Which statement correctly describes the signs of the coordinates (x, y) for a point located in the second quadrant?
1. A)A. x > 0, y > 0
2. B)B. x < 0, y > 0
3. C)C. x < 0, y < 0
4. D)D. x > 0, y < 0
Show answer
Answer: B. x < 0, y > 0
Hint: Remember how the x-axis and y-axis divide the plane and what positive and negative directions mean for each axis.
Q2.easy
A point P has coordinates (4, -2). Which of the following statements correctly describes its position on the Cartesian plane?
1. A)A. 4 units to the left of the y-axis and 2 units above the x-axis.
2. B)B. 4 units to the right of the y-axis and 2 units above the x-axis.
3. C)C. 4 units to the right of the y-axis and 2 units below the x-axis.
4. D)D. 4 units to the left of the y-axis and 2 units below the x-axis.
Show answer
Answer: C. 4 units to the right of the y-axis and 2 units below the x-axis.
Hint: The first coordinate (x) determines horizontal movement (right for positive, left for negative), and the second coordinate (y) determines vertical movement (up for positive, down for negative).
Q3.easy
A point M is located such that it is 5 units to the left of the y-axis and 3 units below the x-axis. What are the coordinates of point M?
1. A)A. (5, 3)
2. B)B. (-5, 3)
3. C)C. (5, -3)
4. D)D. (-5, -3)
Show answer
Answer: D. (-5, -3)
Hint: 'Left of the y-axis' implies a negative x-coordinate, and 'below the x-axis' implies a negative y-coordinate.
Q4.medium
In which quadrant does the point P(-5, 2) lie?
1. A)First Quadrant
2. B)Second Quadrant
3. C)Third Quadrant
4. D)Fourth Quadrant
Show answer
Answer: Second Quadrant
Hint: Recall the signs of the x and y coordinates in each of the four quadrants.
Q5.medium
Which of the following statements is true for any point lying on the x-axis?
1. A)Its x-coordinate is 0.
2. B)Its y-coordinate is 0.
3. C)Both x and y coordinates are positive.
4. D)It lies in the First Quadrant.
Show answer
Answer: Its y-coordinate is 0.
Hint: Consider what happens to the y-value as you move a point onto the x-axis.
Q6.medium
The point where the x-axis and y-axis intersect is called the __________.
1. A)Vertex
2. B)Origin
3. C)Pole
4. D)Center
Show answer
Answer: Origin
Hint: This is the starting point (0,0) from which all other points are measured.
Q7.hard
The points A(x, y), B(4, 3), C(8, 3), and D(8, -2) are the vertices of a rectangle. Find the coordinates of A.
1. A)(4, -2)
2. B)(8, 2)
3. C)(4, 2)
4. D)(8, -3)
Show answer
Answer: (4, -2)
Hint: In a rectangle, opposite sides are parallel and equal in length, and adjacent sides are perpendicular. Use the given coordinates to deduce the missing ones by observing the alignment of horizontal and vertical sides.
Q8.hard
A point P has its y-coordinate three times its x-coordinate. Its perpendicular distance from the y-axis is 4 units, and it lies in the second quadrant. Find the sum of the coordinates of P.
1. A)-16
2. B)8
3. C)-8
4. D)16
Show answer
Answer: 8
Hint: Recall that the perpendicular distance from the y-axis is the absolute value of the x-coordinate. Use the quadrant information to determine the sign of the x-coordinate, then find both coordinates.
Q9.hard
A student claims that the point (0, -7) is 7 units to the left of the origin on the x-axis. Identify the mistake in their statement.
1. A)The point is 7 units to the right of the origin.
2. B)The point is 7 units up from the origin.
3. C)The point is on the y-axis, not the x-axis.
4. D)The point is at the origin.
Show answer
Answer: The point is on the y-axis, not the x-axis.
Hint: Consider the definition of points on the x-axis versus points on the y-axis. What does a zero in the x-coordinate or y-coordinate signify?

These are 9 of the 60 questions available for Coordinate Geometry Introduction. Start practicing above to unlock visual solutions, AI coaching, and the topic leaderboard — completely free.