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)