Question

triangle y is a scaled copy of triangle x. what scale factor takes triangle x to triangle y?

Explanation:

Step1: Recall scale - factor formula

The scale factor $k$ from triangle $X$ to triangle $Y$ is given by the ratio of corresponding side lengths. We can use any pair of corresponding sides. Let's use the side of length 9.4 in triangle $X$ and the corresponding side of length 4.7 in triangle $Y$.
$k=\frac{\text{Side length in }Y}{\text{Side length in }X}$

Step2: Calculate the scale factor

Substitute the values: $k = \frac{4.7}{9.4}$
$k=\frac{4.7}{9.4}=\frac{1}{2}=0.5$

Answer:

$0.5$