Mathematics
Use a graph paper for this question (take 2 cm = 1 unit on both x and y axes).
(i) Plot the following points : A(0, 4), B(2, 3), C(1, 1) and D(2, 0).
(ii) Reflect points B, C, D on y-axis and write down their coordinates. Name the images as B', C', D' respectively.
(iii) Join points A, B, C, D, D', C', B' and A in order, so as to form a closed figure. Write down the equation of line of symmetry of the figure formed.
Reflection
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Answer
(i) The point A(0, 4), B(2, 3), C(1, 1) and D(2, 0) are plotted on the graph below:
(ii) From graph, on reflecting B, C, D on y-axis we get,
B(2, 3) ⇒ B'(-2, 3)
C(1, 1) ⇒ C'(-1, 1)
D(2, 0) ⇒ D'(-2, 0).
(iii) From graph we see that the figure is divided into two symmetrical parts by y-axis. Hence, the equation of line of symmetry is x = 0.
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