Question

polygon g is a scaled copy of polygon f. what scale factor takes polygon f to polygon g?

Explanation:

Step1: Select a corresponding side pair

Let's use the side of length 50 in polygon F and the side of length 37.5 in polygon G.

Step2: Calculate the scale - factor

The scale factor $k$ is given by the ratio of the side - length of the scaled polygon (polygon G) to the side - length of the original polygon (polygon F). So $k=\frac{37.5}{50}$.
We can rewrite 37.5 as $\frac{75}{2}$ and 50 as $\frac{100}{2}$. Then $k = \frac{\frac{75}{2}}{\frac{100}{2}}=\frac{75}{100}=\frac{3}{4}= 0.75$.

Answer:

$0.75$