Answer:
A rotation about the origin 180 degrees means that the pre-image essentially rotates half an actual circle
The rule for 180 degrees rotation is (x,y)-->(-x, -y)
So the points of this quadrilateral are now
(1,3) = (-1, -3)
(4,1)=(-4, -1)
(4,4)=(-4, -4)
(1,4)=(-1,-4)
So it moves from 1st to 3rd quadrant
HOPE THIS HELPS