Mathematics
State the co-ordinates of the following points under reflection in the line y = 0 :
(i) (-3, 0)
(ii) (8, -5)
(iii) (-1, -3)
Answer
On x-axis, y = 0.
Hence, reflection in the line y = 0 means reflection in x-axis.
Reflection in x-axis is given by,
Mx(x, y) = (x, -y) ……….(1)
(i) Substituting (-3, 0) in equation 1 we get,
Mx(-3, 0) = (-3, 0).
Hence, co-ordinate of (-3, 0) under reflection in the line y = 0 is (-3, 0).
(ii) Substituting (8, -5) in equation 1 we get,
Mx(8, -5) = (8, 5).
Hence, co-ordinate of (8, -5) under reflection in the line y = 0 is (8, 5).
(iii) Substituting (-1, -3) in equation 1 we get,
Mx(-1, -3) = (-1, 3).
Hence, co-ordinate of (-1, -3) under reflection in the line y = 0 is (-1, 3).
Related Questions
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 x = 0 :
(i) (-6, 4)
(ii) (0, 5)
(iii) (3, -4)
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.
A point P is reflected in the origin. Co-ordinates of its image are (-2, 7).
(i) Find the co-ordinates of P.
(ii) Find the co-ordinates of the image of P under reflection in the x-axis.