Find the coordinates of points A, B, C, D in Fig. 27.7

RD Sharma - Mathematics

Book: RD Sharma - Mathematics

Chapter: 27. Introduction to Graphs

Subject: Maths - Class 8^th

Q. No. 4 of Exercise 27.1

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4

Find the coordinates of points A, B, C, D in Fig. 27.7

Draw perpendiculars AP, BP, CQ and DR from A, B, C and D on the x-axis. Also, draw perpendiculars AW, BX, CY and DZ on the y-axis.
From the figure, we have:
AW = 1 cm and AP= 1 cm
So, the coordinates of vertex A are (1, 1).
Similarly, BX = 1 cm and BP = 4 cm
So, the coordinates of vertex B are (1, 4).
CY = 4 cm and CQ= 6 cm
So, the coordinates of vertex C are (4, 6).
DZ = 5 cm and DR= 3 cm
So, the coordinates of vertex D are (5, 3).

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Chapter Exercises

Exercise 27.1

Exercise 27.2

1

Plot the points (5,0), (5,1), (5,8). Do thy lie on a line? What is your observation?

2

Plot the points (2,8), (7,8) and (12,8). Join these points in pairs. Do they lie on a line? What do you observe?

3

Locate the points :
(i) (1,1), (1,2), (1,3), (1,4)

(ii) (2,1), (2,2), (2,3), (2,4)

(iii) (1,3), (2,3), (3,3), (4,3)

(iv) (1,4), (2,4), (3,4), (4,4,)

4

Find the coordinates of points A, B, C, D in Fig. 27.7

5

Find the coordinates of points P, Q, R and S in Fig. 27.8.

6

Write the coordinates of each of the vertices of each polygon in Fig. 27.9.

7

Decide which of the following statements is true and which is false. Give reasons for your answer.
(i) A point whose x-coordinate is zero, will lie on the y-axis.

(ii) A point whose y-coordinate is zero, will lie on x-axis.

(iii) The coordinates of the origin are (0,0).

(iv) Points whose x and y coordinates are equal, lie on a line passing through the origin.