Question

what is the scale factor of the dilation of triangle def?
3/10
3/7
7/3
7

Explanation:

Step1: Recall the formula for scale factor

The scale factor \(k\) of a dilation is given by \(k=\frac{\text{length of a side in the image}}{\text{length of the corresponding side in the original figure}}\). Here, \(\triangle D'E'F'\) is the image and \(\triangle DEF\) is the original. The corresponding sides are \(OF'\) and \(OF\).

Step2: Substitute the values

We have \(OF' = 3\) and \(OF=7\). So the scale factor \(k=\frac{OF'}{OF}\).

$$k=\frac{3}{7}$$

Answer:

\(\frac{3}{7}\)