Question

what is the scale factor of the dilation of triangle def?
options:
\\(\frac{3}{10}\\)
\\(\frac{3}{7}\\)
\\(\frac{7}{3}\\)
7

Explanation:

Step1: Identify corresponding segments

The distance from center $O$ to $F'$ is $3$, and from $O$ to $F$ is $3+7=10$.

Step2: Calculate scale factor

Scale factor is $\frac{\text{length of image segment}}{\text{length of pre-image segment}} = \frac{OF'}{OF}$
$\text{Scale factor} = \frac{3}{10}$

Answer:

$\frac{3}{10}$ (Option A)