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)|=(1)/(3)|EF| \\ |E^(\prime)F^(\prime)|=(1)/(3)\cdot9 \\ |E^(\prime)F^(\prime)|=3 \end{gathered}`

Answer:

3