Answer:
Option (C)
Explanation:
Formula to get the scale factor of any image from it's preimage,
Scale factor of an image =
![\frac{\text{Dimension of the image}}{\text{Dimension of the preimage}}](https://img.qammunity.org/2021/formulas/mathematics/high-school/ifznqhyef9vy5mlfilr22v2dbcwg4curb5.png)
From the figure attached,
F' is the image of preimage F after dilation.
Scale factor =
![\frac{\text{Length of A'B'}}{\text{Length of AB}}](https://img.qammunity.org/2021/formulas/mathematics/high-school/g5ybrlmkg5qrw6fdp4xtbg0ra9gbrczpav.png)
=
![(4)/(6)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/1el91qchewe7d5gjs94erh3u2t3ds4khmg.png)
=
![(2)/(3)](https://img.qammunity.org/2021/formulas/mathematics/high-school/54kd5otoayi7fslqp2ejx77tdkhh8ubevy.png)
Therefore, Figure F has been dilated by a scale factor of
to form F'.
Option (C). will be the answer.