Shapes on coordinated question GCSE

Question

I am struggling with this question where I don't know how to use the coordinate of A and B on the square to work out the coordinate of D. I found that it could be (2, -1) because of where the x and y coordinates are but It was incorrect.

Question:

Thank You and help is appreciated

How would I work the coordinated out?

Answer 1

Hint:

look at the figure

and note that the triangles $AEB$, $BFD$, $DGC$,$CHA$ are equal.

Answer 2

Your answer is:

D(x,y) : Tell me when you have got somewhere, and I will edit it in.

Step 1: Find how you get from A to B with a vector

Step 2: Rotate AB $90^\circ$ clockwise

Step 3: Put this vector on $A$ to find $D$