1) Define your vector that tells Geogebra where to move your rectangle. You only need to match up one vertex to get started! In your head you should be saying, "I want to move THIS point right HERE" as you use the vector tool.
2) Use the translation tool and move the pink rectangle by your vector. Use the filling slider to "turn off" the original pink so it is easier to see your work.
3) Define the ANGLE that you want to rotate your object by using the angle tool. The angle will be a nice integer value and displayed for you. Take note so you can use it.
4) Use the rotate command (and your angle) to make the final move.
Note: You can use the "New Context" button to get a fresh problem. Try it 2 or 3 times until you really get the hang of it, and then help people around you!