Find the image of each of the following points under reflection in the line x = 0 :

(i) (4, 7)

(ii) (-3, -5)

(iii) (-8, 6)

(iv) (5, 0)

(v) (0, -2)

x = 0 is the equation of y-axis.

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

Reflection in y-axis is given by,

R_y (x, y) = (-x, y).

(i) Thus,

R_y (4, 7) = (-4, 7).

Hence, co-ordinates of (4, 7) under reflection in the line x = 0 are (-4, 7).

(ii) Thus,

R_y (-3, -5) = (3, -5).

Hence, co-ordinates of (-3, -5) under reflection in the line x = 0 are (3, -5).

(iii) Thus,

R_y (-8, 6) = (8, 6).

Hence, co-ordinates of (-8, 6) under reflection in the line x = 0 are (8, 6).

(iv) Thus,

R_y (5, 0) = (-5, 0).

Hence, co-ordinates of (5, 0) under reflection in the line x = 0 are (-5, 0).

(v) Thus,

R_y (0, -2) = (0, -2).

Hence, co-ordinates of (0, -2) under reflection in the line x = 0 are (0, -2).