Mathematics
State the co-ordinates of the following points under reflection in the line x = 0 :
(i) (-6, 4)
(ii) (0, 5)
(iii) (3, -4)
Reflection
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Answer
On y-axis, x = 0.
Hence, reflection in the line x = 0 means reflection in y-axis.
Reflection in y-axis is given by,
My(x, y) = (-x, y) ……….(1)
(i) Substituting (-6, 4) in equation 1 we get,
My(-6, 4) = (6, 4).
Hence, co-ordinate of (-6, 4) under reflection in the line x = 0 is (6, 4).
(ii) Substituting (0, 5) in equation 1 we get,
My(0, 5) = (0, 5).
Hence, co-ordinate of (0, 5) under reflection in the line x = 0 is (0, 5).
(iii) Substituting (3, -4) in equation 1 we get,
My(3, -4) = (-3, -4).
Hence, co-ordinate of (3, -4) under reflection in the line x = 0 is (-3, -4).
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