Question

Based on the rules and notation that we used when doing translations and reflections, explain or show, a type of notation that can be used for a reflection over the line y = x.

Answer 1

The line y=x is shown in the following diagram:

We can find the notation used to make a reflection over this line by taking a point, for example:

We take the point (0,4) and reflect it across the line y=x. To make this reflection, the line y=x acts as a mirror in which we reflect the point, and we find that the reflected point is:

The new point after the reflection is the green point (4,0).