Graphs help us represent data in a visual and easy-to-understand format. In Class 8 Maths Ch 15 Introduction to Graphs Ex 15.2, students learn how to read and interpret different types of graphs such as bar graphs, pie charts, and line graphs. This exercise focuses on understanding how real-life data can be organized and analyzed using graphical representation.
Class 8 Maths Ch 15 Introduction to Graphs Ex 15.2 strengthens students’ analytical skills and helps them solve questions based on practical data. These concepts are not only useful in mathematics but are also applied in science, economics, and everyday situations.
Class 8 Maths Ch 15 Introduction to Graphs Ex 15.2 – Textbook
Ex 15.2 Class 8 Maths Question 1.
Plot the following points on a graph sheet. Verify if they lie on a line.
(a) A (4, 0), B(4, 2), C(4, 6), D(4, 2.5)
(b) P(1, 1), Q(2, 2), R(3, 3), S(4, 4)
(c) K(2, 3), L(6, 3), M(5, 5), N (2, 5)
Solution:
Yes, all the coordinate points lie on a line.
Yes, all the coordinate points lie on a line.
No, the coordinate points do not lie on a line.
Ex 15.2 Class 8 Maths Question 2.
Draw the line passing through (2, 3) and (3, 2). Find the coordinates of the points at which this line meets the x-axis and y-axis.
Solution:
CD is the required line passing through the points A(2, 3), B (3, 2) which meets x-axis at C(5, 0) and y-axis at D(0, 5).
Ex 15.2 Class 8 Maths Question 3.
Write the coordinates of the vertices of each of these adjoining figures.
Solution:
Required coordinates are as follows:
Coordinates of rectangle OABC are:
O(0, 0), A(2, 0), B(2, 3), C(0, 3)
Coordinates of parallelogram PQRS are:
P(4, 3), Q(6, 1), R(6, 5), S(4, 7)
Coordinates of triangle KLM are:
K(10, 5), L(7, 7), M (10, 8).
Ex 15.2 Class 8 Maths Question 4.
State whether True or False. Correct that is false.
(i) A point whose x-coordinate is zero and y-coordinate is non-zero will lie on the y-axis.
(ii) A point whose y-coordinate is zero and x-coordinate is 5 will lie on y-axis.
(iii) The coordinates of the origin are (0, 0).
Solution:
(i) True
(ii) False, the point will lie on the x-axis with coordinates (5, 0).
(iii) True
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In conclusion, Class 8 Maths Ch 15 Introduction to Graphs Ex 15.2 is an important part of understanding how data is represented and interpreted visually. It teaches students to read various types of graphs such as bar graphs, pie charts, and line graphs, which are widely used in real-life situations. Whether it’s reading a weather chart, analyzing population growth, or understanding trends in sports, this exercise builds a strong foundation for data interpretation.
By solving Class 8 Maths Ch 15 Introduction to Graphs Ex 15.2, students develop the ability to translate numerical information into visual formats, making complex data easier to understand. It also improves observation and logical thinking skills, which are essential in subjects like Science, Geography, and Economics.
Practicing Class 8 Maths Ch 15 Introduction to Graphs Ex 15.2 regularly helps students become confident in interpreting and drawing graphs correctly. This understanding is not only crucial for school exams but also for higher studies where data analysis plays a key role.
Therefore, mastering the concepts in Class 8 Maths Ch 15 Introduction to Graphs Ex 15.2 ensures that students are well-prepared to deal with data in a clear, organized, and meaningful way
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