What are the coordinates of the vertices of the figure?

Question

The figure is a square SOTW with O being the center of origin and sides of length a. I have looked at some examples but this has me stumped. Any help would be greatly appreciated!

Answer 1

Working from the center

 

the coordinates for O are (0,0)

 

Let's assume S is above O and the coordinates would be (0,a)  since each side is lenght a.

 

Then T would be (a,0) - a units to the right of O

 

and finally W would be (a,a), a units above T and to the right of S.