Question

Name Class Date PreAlgebra: Dilations & Finding Scale Factor Worksheet Show your work!!! Rectangle ABCD is similar to rectangle EFGH. 25 in. F GL B GO 6 in 15 in. A E What is the scale factor from rectangle ABCD to rectangle EFGH? A 1.5 B 2.5 C 5.0 B 19.0

Answer 1

The scale factor is the ratio between equivalent sides and must be constant, this means it's the same value for all sides, so:

$\begin{gathered} \text{Sides CD and GH are equivalent,} \\ \frac{GH}{CD}=\frac{15}{6}=2.5 \\ \text{Sides }BC\text{ and FG are equivalent,} \\ \frac{FG}{BC}=\frac{25}{10}=2.5 \end{gathered}$

The scale factor is 2.5. The correct answer is C.