Question

P and Q have co-ordinates (–2, 3) and (5, 4) respectively. Reflect P in the x-axis to P’ and Q in the y-axis to Q’. State the co-ordinates of P’ and Q’.

Answer 1

Reflection in x-axis is given by M_x (x, y) = (x, –y)

P’ = Reflection of P(–2, 3) in x-axis = (–2, –3)

Reflection in y-axis is given by M_y (x, y) = (–x, y)

Q’ = Reflection of Q(5, 4) in y-axis = (–5, 4)

Thus, the co-ordinates of points P’ and Q’ are (–2, –3) and (–5, 4) respectively.