Class 8, Maths, Chapter 15, Exercise 15.2 Solutions
Q.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(5, 3), M(5, 5), N(2, 5)
Ans:
(a) A(4, 0), B(4, 2), C(4, 6), D(4, 2.5)
Yes, all points are lie on a line.
(b) P(1, 1), Q(2, 2), R(3, 3), S(4, 4)
Yes, all points are lie on a line.
(c) K(2, 3), L(5, 3), M(5, 5), N(2, 5)
No, all points are not lie on a line.
Q.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.
Ans:
The coordinates of the points at which this line meets the x-axis at Q(5, 0) and Y – axis at P(0,5).
Q.3. Write the coordinates of the vertices of each of these adjoining figures.
Ans:
The coordinates of given geometry are given below:
(i) Coordinates of rectangle OABC are O(0, 0), A(2, 0), B(2, 3), C(0, 3)
(ii) Coordinates of parallelogram PQRS are P(4, 3), Q(6, 1), R(6, 5), S(4, 7)
(iii) Coordinates of triangle KLM are K(10, 5), L(7, 7), M (10, 8).
Q.4. State whether True or False. Correct that are 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)
Ans:
(i) True
(ii) False, it will lie on x-axis.
(iii) True