Question

Figure FCDE has been dilated to create to create F’C’D’E’. What is the dilation scale factor?

Answer 1

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.

$Scale\ Factor = \frac{F'}{F} = \frac{C'}{C'}=\frac{D'}{D}=\frac{E'}{E}$

To further explain; take the attachment as a point of reference.

We have that:

$FC = 3\ units$

$F'C' = 9\ units$

$Scale\ Factor = \frac{F'C'}{FC}$

$Scale\ Factor = \frac{9}{3}$

$Scale\ Factor = 3$