Question

rs is dilated by a scale factor of $\frac{1}{4}$ to form $rs$. $rs$ measures 4. what is the measure of $rs$?

Explanation:

Step1: Recall dilation formula

The length of the dilated segment $R'S'$ is the product of the scale - factor and the length of the original segment $RS$. The formula is $R'S'=\text{Scale factor}\times RS$.

Step2: Substitute values

We are given that the scale factor is $\frac{1}{4}$ and $RS = 4$. Substitute these values into the formula: $R'S'=\frac{1}{4}\times4$.

Step3: Calculate result

$\frac{1}{4}\times4 = 1$.

Answer:

1