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).
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.