Question

question 37 of 45 what is the scale factor of △xyz to △uvw? a. $\frac{1}{5}$ b. $\frac{1}{10}$ c. 5 d. 10

Explanation:

Step1: Identify corresponding sides

We can take side $YZ = 75$ and its corresponding side $VW = 15$.

Step2: Calculate scale factor

The scale factor from $\triangle XYZ$ to $\triangle UVW$ is found by dividing the length of a side of $\triangle UVW$ by the length of the corresponding side of $\triangle XYZ$. So the scale factor $k=\frac{VW}{YZ}=\frac{15}{75}$.

Step3: Simplify the ratio

$\frac{15}{75}=\frac{1}{5}$.

Answer:

A. $\frac{1}{5}$