Question

The point (–5, 0) on reflection in a line is mapped as (5, 0) and the point (–2, –6) on reflection in the same line is mapped as (2, –6).

1. Name the line of reflection.
2. Write down the co-ordinates of the image of (5, –8) in the line obtained in (a).

Answer 1

a. We know that reflection in the line x = 0 is the reflection in the y-axis.

It is given that:

Point (–5, 0) on reflection in a line is mapped as (5, 0).

Point (–2, –6) on reflection in the same line is mapped as (2, –6).

Hence, the line of reflection is x = 0.

b. It is known that M_y (x, y) = (–x, y) Co-ordinates of the image of (5, –8) in the line x = 0 are (–5, –8).