Drawing a Rotated Rectangle

Question

I realize this might be more of a math problem.

To draw the lines for my rectangles I need to solve for their corners. I have a rectangle center at (x,y) With a def

Answer 1

First transform the centre point to 0,0

X' = X-x

Y' = Y-y

Then rotate for an angle of A

X'' = (X-x) * cos A - (Y-y) * sin A

Y'' = (Y-y) * cos A + (X-x) * sin A

Again transform back the centre point to x,y

X''' = (X-x) * cos A - (Y-y) * sin A + x

Y''' = (Y-y) * cos A + (X-x) * sin A + y

Hence compute for all 4 points of (X,Y) with following transformation

X''' = (X-x) * cos A - (Y-y) * sin A + x

Y''' = (Y-y) * cos A + (X-x) * sin A + y

where x, y are the centre points of rectangle and X,Y are the corner points You have n't defined correctly even the corner points when Angle is 0 as I have given in the comments.

After substituting you will get

UL  =  x + ( Width / 2 ) * cos A - ( Height / 2 ) * sin A ,  y + ( Height / 2 ) * cos A  + ( Width / 2 ) * sin A
UR  =  x - ( Width / 2 ) * cos A - ( Height / 2 ) * sin A ,  y + ( Height / 2 ) * cos A  - ( Width / 2 ) * sin A
BL =   x + ( Width / 2 ) * cos A + ( Height / 2 ) * sin A ,  y - ( Height / 2 ) * cos A  + ( Width / 2 ) * sin A
BR  =  x - ( Width / 2 ) * cos A + ( Height / 2 ) * sin A ,  y - ( Height / 2 ) * cos A  - ( Width / 2 ) * sin A

I think this suits your solution.