Polygon TUVW has vertices T(2,-4), U(3,-1), V(-1,0), and W(-2, -3). If this polygon were to rotate 180 degrees, what be be the coordinates for the new vertices?
That would depend upon the location of the center of rotation, in general. In your case, the polygon happens to be a rectangle. Because of that, if you switch the coordinates of V and T, and separately switch the coordinates of U and W, you will have accomplished a 180 degree rotation about the center of the figure. That follows from the symmetry characteristics of a rectangle.
