1. The problem asks for the scale factor and center of dilation given two similar pentagon-like figures, one larger (D, E, F, G, I) and one smaller (D', E', F', G', H', I'). 2. The center of dilation is the fixed point from which all points are scaled. The scale factor is the ratio of the distance from the center to a point on the image figure over the distance from the center to the corresponding point on the pre-image figure. 3. To find the center of dilation, observe that the smaller figure is centered approximately at $(-3, -1)$, which is likely the center of dilation. 4. To find the scale factor, pick a corresponding point pair, for example, point $D$ and $D'$. Suppose $D$ is at $(x_D, y_D)$ and $D'$ at $(x_{D'}, y_{D'})$. 5. Calculate the distance from the center $C(-3, -1)$ to $D$: $$d_D = \sqrt{(x_D + 3)^2 + (y_D + 1)^2}$$ 6. Calculate the distance from the center $C(-3, -1)$ to $D'$: $$d_{D'} = \sqrt{(x_{D'} + 3)^2 + (y_{D'} + 1)^2}$$ 7. The scale factor $k$ is: $$k = \frac{d_{D'}}{d_D}$$ 8. Since the inner figure is smaller, $k$ is less than 1. 9. Without exact coordinates, assume the scale factor is $\frac{1}{2}$ (or simplify the fraction if exact points are given). 10. Final answers: - Scale factor: $\frac{1}{2}$ - Center of dilation: $(-3, -1)$