Question

I’m having trouble with this please help me

Answer 1

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}}`

`=(-4)/(-2)=2`

The scale factor =2