Triangle DEF has vertices D(1,1), E(2,0), and F(0,4). It is transformed by a rotation 180 degrees about the origin followed by a dilation with a scale factor of 3. Find the coordinates of the vertices of Triangle D"E"F".
A: D"(-3, 3) E"(6,0) F"(12,0)
B: D"(-1,-1) E"(-2,0) F"(0,-4)
C: D"(-1,1) E"(0,2) F'(4,4)
D: D"(-3,-3) E(-6,0) F"(0, -12)