Hi,
Why you make bother yourself!!!!
on the other hand, doesn't need to memories.
It is enough, make an example and watch on the coordinate plane
Example: A (2,3) -----> A' (-2,3) -2--------------0------------------2 it is obvious Reflection y-axis
A (2,3) -----> A' (2,-3) it is obvious Reflection x-axis
A (2,3) -----> A' (-2,-3) it is obvious Rotation 180°
A (2,3) -----> A' (3,2) it is obvious Reflection y=x
I hope it is useful,
Minoo