Question

What is the scale factor of the dilation?

Answer 1

Answer:

$\dfrac{1}{2}$

Step-by-step explanation:

It is given that triangle ACB is the preimage and triangle DFE is the image.

We need to find the scale factor of the dilation.

$\text{Scale factor}=\dfrac{\text{Side of image}}{\text{Corresponding side of preimage}}$

In the given triangles, side AC and DF are corresponding sides.

$\text{Scale factor}=\dfrac{DF}{AC}$

$\text{Scale factor}=\dfrac{6}{12}$

$\text{Scale factor}=\dfrac{1}{2}$

Therefore, the scale factor of the dilation is $\dfrac{1}{2}$.