DAV Class 8 Maths Chapter 13 Worksheet 1
Introduction to Graphs Worksheet 1
1. Write the answer to each of the following questions:
(i) What is the name of the horizontal and vertical lines drawn to determine the position of any point in the Cartesian plane?
Answer
Horizontal line is called \( \color{red} x \text{-axis} \) and vertical line is called \( \color{red} y \text{-axis}. \)
(ii) Write the name of the point where the above two lines intersect.
Answer
\( \color{red} Origin \)
2.
Plot the following points on the graph:
(i) (5, 0)
(ii) (6, 2)
(iii) (0, 0)
(iv) (3, 4)
(v) (5, 6)
(vi) (1, 7)
(vii) (2, 0)
(viii) (4, 4)
Answer
3. Find the coordinates of the points P, Q, R and S in the following figure.
Answer
The coordinates of P are (2, 3).
The coordinates of Q are (6, 5).
The coordinates of R are (4, 8).
The coordinates of S are (8, 0).
4. Plot the points A(2, 3), B(5, 3), C(5, 5), and D(2, 5) on a graph. Connect the points in that order so as to get a closed figure ABCD. What type of figure do you get?
Answer
Scale
x-axis: 1 cm = 1 unit
y-axis: 1 cm = 1 unit
The figure formed ABCD is a rectangle.
5. Plot the points (2, 2), (4, 4), (6, 6). Join these points in pairs. Do they lie on the line passing through the origin?
Answer
Yes, all three points lie on the line passing through the origin.
6. State True or False. Give reasons for your answer:
(i) A point whose x-coordinate is zero, will lie on the y-axis.
Answer
\( \color{red} Yes \)
(ii) A point whose y-coordinate is zero, will lie on the x-axis.
Answer
\( \color{red} Yes \)
(iii) The coordinates of the origin are (1, 1).
Answer
\( \color{red} No. \) Coordinates of the origin are (0, 0).