Answer: The scale factor =2
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 =
![\frac{\text{Coordinate of image}}{\text{Coressponding coordinate in original figure}}](https://img.qammunity.org/2022/formulas/mathematics/high-school/xloa1rktj26s3bjuqgq0iwtxyblngqc32o.png)
![=(-4)/(-2)=2](https://img.qammunity.org/2022/formulas/mathematics/high-school/gq7egnbodvl4cb0qkl1vbnrqesvkiorsb2.png)
The scale factor =2