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Find the coordinates of points P, Q, R and S in Fig. 27.8.
Draw perpendiculars PE, QH, RI and SK from P, Q, C,R and S on the x-axis. Also, draw perpendiculars PF, QG, RJ and SL on the y-axis.
From the figure, we have:
PF = 10 cm and PE= 70 cm
So, the coordinates of vertex P are (10, 70).
Similarly, QG=12 cm and QH= 80 cm
So, the coordinates of vertex Q are (12, 80).
RJ = 16 cm and RI= 100 cm
So, the coordinates of vertex R are (4, 6).
SL = 20 cm and SK= 120 cm
So, the coordinates of vertex S 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.