Respuesta :

Answer:  The scale factor =2

Step-by-step explanation:

When k = scale factor, then the coordinates of the image after dilation is given by the rule: (x,y) → (kx, ky)

From the given picture,

Vertices of ABC: A(-2,-2), B(-1,2), C(2,1)

Vertices of A'B'C': A'(-4,-4), B'(-2,-4), C'(4,2)

Scale factor =[tex]\dfrac{\text{Coordinate of image}}{\text{Coressponding coordinate in original figure}}[/tex]

[tex]=\dfrac{-4}{-2}=2[/tex]

The scale factor =2