Question

In the image, parallelogram $ABCD$ is dilated in reference to the origin to form parallelogram $A'B'C'D'$. What is the magnitude of dilation?(1 point)Given Coordinates:Original Point $\mathbf{A} = (-2, 4)$Dilated Point $\mathbf{A'} = (-1, 2)$Original Point $\mathbf{B} = (4, 4)$Dilated Point $\mathbf{B'} = (2, 2)$Original Point $\mathbf{C} = (2, -2)$Dilated Point $\mathbf{C'} = (1, -1)$Original Point $\mathbf{D} = (-4, -2)$Dilated Point $\mathbf{D'} = (-2, -1)$Responses( ) $\frac{1}{3}$( ) 2( ) $\frac{1}{2}$( ) 1

Answer 1

Scale factor k satisfies A' = kA. From A: -1 = k(-2) so k = 1/2. (Also true for B, C, D.)

Answer: 1/2.