<u>Answer:</u>
1/5
<u>Step-by-step explanation:</u>
We are to find the scale factor of the dilation that maps the pre-image of triangle ABC with vertices A(−3, 4), B(−1, 12) and C(4, −2) to the image triangle A'B'C' with vertices A' (−0.6, 0.8), B' (−0.2, 2.4) and C' (0.8, −0.4).
Center of dilation is at the origin.
To find the scale factor, we will divide the corresponding vertices of the image and pre-image.
A (−3, 4) ---> A' (−0.6, 0.8) =
B(−1, 12) ---> B' (−0.2, 2.4) =
C(4, −2) ---> C' (0.8, −0.4) =
Therefore, the scale factor of the dilation is 1/5.