Question

What is the scale factor that maps A ABC onto its image AA'B'C'?24B26125A102041 2 3 4 5 6 7 8Ne

Answer 1

Given the information on the picture, notice that we have the following relationship between sides CA and CA' :

$CA^{\prime}=k\cdot CA$

where k is the scale factor.

If we use the measures given and solve for k, we have:

$\begin{gathered} 10=k\cdot5 \\ \Rightarrow k=\frac{10}{5}=2 \\ k=2 \end{gathered}$

therefore, the scale factor is k = 2