Question

If the scale factor of a dilation 1/3, what is the length of line segment E'F'?

Answer 1

Let's find the length of EF:

$\begin{gathered} |EF|=\sqrt[]{(15-6)^2+(3-3)^2} \\ |EF|=9 \end{gathered}$

In order to find E'F', multiply EF by the scale factor, so:

$\begin{gathered} |E^{\prime}F^{\prime}|=\frac{1}{3}|EF| \\ |E^{\prime}F^{\prime}|=\frac{1}{3}\cdot9 \\ |E^{\prime}F^{\prime}|=3 \end{gathered}$

Answer:

3