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?

Answer 1

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.