1. The problem asks to find the image of figure ABCDEFGH after a dilation with scale factor 2. 2. Dilation with scale factor 2 means every point of the figure moves away from the center of dilation (usually the origin) by a factor of 2. 3. The formula for dilation of a point $(x,y)$ about the origin with scale factor $k$ is: $$ (x,y) \to (kx, ky) $$ 4. Since $k=2$, each coordinate of the vertices of ABCDEFGH will be multiplied by 2. 5. For example, if $A=(x_A,y_A)$, then $A'=(2x_A, 2y_A)$. 6. The given segment $A'B'$ is horizontal on the right side, confirming the dilation doubles the length and moves points accordingly. 7. Repeat this for all vertices $B, C, D, E, F, G, H$ to get $B', C', D', E', F', G', H'$. 8. Connect the points $A'B'C'D'E'F'G'H'$ in order to get the dilated figure. Final answer: The image of ABCDEFGH after dilation with scale factor 2 is the figure with vertices at twice the distance from the origin as the original vertices, connected in the same order.