Question

A point P(a, b) is reflected in the X-axis to P'(2, – 3). Write down the value of a & b. P” is the image of P, when reflected on the Y-axis. Write down the co-ordinates of P” when P is reflected in the line parallel to the Y-axis, such that x = 4.

Answer 1

Reflection of P (a, b) on the X-axis P' (a, -b)
(i) ∴ P' (a, -b) = P' (2, -3)
+ a = + 2, ∴ a = 2
-b = -3, ∴ b = 3
P (2, 3)

(ii) P'' is the image of P(2, 3) under reflection Y-axis = P''(-2, 3).
(iii) P''' is the image of P(2, 3) under reflection x = 4
⇒ P'''(6, 3).