Answer:
See explanation
Step-by-step explanation:
This question requires an attachment. Since there is none, I'll give a general explanation and proceed to answer the question with the attached figure.
To calculate the scale factor.
First, take the measurement of any of the original length. i.e. F, C, D or E
Next, take the measurement of any of the dilated length. i.e. F', C', D' or E'
Then, divide the dilated length by the original length.
i.e.
[tex]Scale\ Factor = \frac{F'}{F} = \frac{C'}{C'}=\frac{D'}{D}=\frac{E'}{E}[/tex]
To further explain; take the attachment as a point of reference.
We have that:
[tex]FC = 3\ units[/tex]
[tex]F'C' = 9\ units[/tex]
[tex]Scale\ Factor = \frac{F'C'}{FC}[/tex]
[tex]Scale\ Factor = \frac{9}{3}[/tex]
[tex]Scale\ Factor = 3[/tex]
