Question

The point P(x, y) is first reflected in the x-axis and reflected in the origin to P’. If P’ has co-ordinates (–8, 5); evaluate x and y.

Answer 1

M_x (x, y) = (x, –y)

M_O (x, –y) = (–x, y)

Thus, we get the co-ordinates of the point P’ as (–x, y). It is given that the co-ordinates of P’ are (–8, 5).

On comparing the two points, we get, x = 8 and y = 5