Point A is at (0,0). This is the origin.
To move to A'(5,2), we will do two things:
- shift 5 units to the right
- shift 2 units up
This will have (0,0) move to (5,2).
Points B,C, and D follow the same steps to get what the diagram shows. This is why the entire figure moves 5 units to the right and 2 units up. Everything is in lock-step with each other. This keeps the same shape and size.
If you want to use symbols, then you can describe the translation rule as [tex](x,y) \to (x+5, y+2)[/tex]. We add 5 to the x coordinate to shift 5 units to the right, and we add 2 to the y coordinate to shift 2 units up.
