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

(i) (6, -7)

(ii) (-8, 4)

(iii) (-3, -8)

(iv) (7, 9)

(v) (0, -6)

y = 0, is the equation of x-axis.

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

Reflection in x-axis is given by,

R_x (x, y) = (x, -y) ……….(1)

(i) Thus,

R_x (6, -7) = (6, 7).

Hence, co-ordinates of (6, -7) under reflection in the line y = 0 is (6, 7).

(ii) Thus,

R_x (-8, 4) = (-8, -4).

Hence, co-ordinates of (-8, 4) under reflection in the line y = 0 are (-8, -4).

(iii) Thus,

R_x (-3, -8) = (-3, 8).

Hence, co-ordinates of (-3, -8) under reflection in the line y = 0 are (-3, 8).

(iv) Thus,

R_x (7, 9) = (7, -9).

Hence, co-ordinates of (7, 9) under reflection in the line y = 0 are (7, -9).

(v) Thus,

R_x (0, -6) = (0, 6).

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