Question

Use the image to answer the question .In the image, polygon $\mathbf{ABCD}$ is dilated to form polygon $\mathbf{A'B'C'D'}$ with respect to the origin. What is the magnitude of dilation?(1 point)Responses( ) 3( ) 1( ) $\frac{1}{2}$( ) 2Coordinates provided:Original Point $\mathbf{A} = (-1, -1)$Dilated Point $\mathbf{A'} = (-2, -2)$Original Point $\mathbf{B} = (-1, 1)$Dilated Point $\mathbf{B'} = (-2, 2)$Original Point $\mathbf{C} = (2, 3)$Dilated Point $\mathbf{C'} = (4, 6)$Original Point $\mathbf{D} = (2, -1)$Dilated Point $\mathbf{D'} = (4, -2)$

Answer 1

Scale factor = 2.

Each coordinate is multiplied by 2 (e.g. A (-1,-1) → A' (-2,-2), C (2,3) → C' (4,6)), so the dilation magnitude is 2.