If latex: \delta def δ d e f has vertices with the coordinates d(9, -3), e(-6, 3), and f(3, 6), what are the vertices of latex: \delta d'e'f' δ d ′ e ′ f ′ under a dilation with a scale factor of latex: \frac{2}{3} 2 3 and the center at the origin. latex: d'\left(-4.5,\: 13.5\right).\: e'\left(4.5,\: -9\right),\: f'\left(9,\: 4.5\right) latex: d'\left(13.5,\: -4.5\right).\: e'\left(-9,\: 4.5\right),\: f'\left(4.5,\: 9\right) latex: d'\left(-2,\: 6\right).\: e'\left(2,\: -4\right),\: f'\left(4,\: 2\right) latex: d'\left(6,-2\right),\: e'\left(-4,\: 2\right),\: f'\left(2,\: 4\right)