Question

Please can someone help me with this?

Answer 1

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
`(x,y) \to (x+5, y+2)`. 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.