Question

HELP PLEASE!!

Triangle A′B′C′ is the image of triangle ABC after a dilation.



What is the scale factor of the dilation?



Enter your answer in the box.

_____

Answer 1

1/3

Explanation:

Answer 2

Answer: 1/3

Explanation:

We know that after dilation with scale factor k the coordinates of pre-image (x,y) map to (kx,ky) of the image.

From the given graph, the coordinate of A =(9,4) and the coordinate of A' (3,2)

Then
`x = 9` and
`kx = 3`

`\Rightarrow k(9)=3\\\\\Rightarrow\ k=(3)/(9)\\\\\Rightarrow\ k=(1)/(3)`

Therefore, the scale factor of the dilation is 1/3.