Question

the right triangle on the right is a scaled copy of the right triangle on the left. identify the scale factor. express your answer as a whole number or fraction in simplest form.

Explanation:

Step1: Choose corresponding sides

We can choose the horizontal sides 4 and $\frac{15}{4}$.

Step2: Calculate scale - factor

The scale factor $k$ is the ratio of the side - length of the scaled - copy to the side - length of the original. So $k=\frac{\frac{15}{4}}{4}=\frac{15}{4}\div4=\frac{15}{4}\times\frac{1}{4}=\frac{15}{16}$.

Answer:

$\frac{15}{16}$