State the co-ordinates of the following points under reflection in the line y = 0 :

(i) (-3, 0)

(ii) (8, -5)

(iii) (-1, -3)

On x-axis, y = 0.

Hence, reflection in the line y = 0 means reflection in x-axis.

Reflection in x-axis is given by,

M_x(x, y) = (x, -y) ……….(1)

(i) Substituting (-3, 0) in equation 1 we get,

M_x(-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,

M_x(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,

M_x(-1, -3) = (-1, 3).

Hence, co-ordinate of (-1, -3) under reflection in the line y = 0 is (-1, 3).