Question

figures r, s, and t are all scaled copies of one another. figure s is a scaled copy of r using a scale factor of 3. figure t is a scaled copy of s using a scale factor of 2. find the scale factor from s to r. (lesson 1 - 5)
scale factor: __

Explanation:

Step1: Recall scale - factor relationship

If figure $S$ is a scaled copy of $R$ with scale factor $k_{1}=3$, and we want to find the scale factor from $S$ to $R$, we use the fact that if $S = k_{1}R$, then $R=\frac{1}{k_{1}}S$.

Step2: Calculate the scale factor

The scale factor from $S$ to $R$ is the reciprocal of the scale factor from $R$ to $S$. Given the scale factor from $R$ to $S$ is $3$, the scale factor from $S$ to $R$ is $\frac{1}{3}$.

Answer:

$\frac{1}{3}$