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)
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).
Related Questions
The point P(4, -8) is reflected in the line x = 0 to get the point R. The co-ordinates of point R are :
(4, -8)
(-4, 8)
(4, 8)
(-4, -8)
The point P(5, 5) is first reflected in line y = 0 and then in x-axis to get the point Q. The co-ordinates of point Q are :
(5, 5)
(-5, 5)
(5, -5)
(-5, -5)
State the co-ordinates of the following points under reflection in the line y = 0 :
(i) (-3, 0)
(ii) (8, -5)
(iii) (-1, -3)
A point P is reflected in the x-axis. Co-ordinates of its image are (-4, 5).
(i) Find the co-ordinates of P.
(ii) Find the co-ordinates of the image of P under reflection in the y-axis.