Question

Find A; the image of (2,6), after a reflection in the line y=x.

Answer 1

We are asked to find the image of (2,6), after a reflection in the line y=x

A reflection over the line y = x means to reverse the order of the (x, y) coordinates.

The rule for such a transformation is given by

`(x,y)\rightarrow(y,x)`

Let us apply the above transformation to the given point

`(2,6)\rightarrow(6,2)`

As you can see, we simply reverse the order of the coordinates.

Therefore, the image of the point (2, 6) after a reflection over the line y = x is (6, 2)

`(6,2)`