Question

based on the image, what is the scale factor that maps triangle abc to triangle abc?

Explanation:

Step1: Identify corresponding side lengths

Assume side \(AB\) in \(\triangle ABC\) has length \(2\) units (from \(x = 3\) to \(x = 5\)), and side \(A'B'\) in \(\triangle A'B'C'\) has length \(4\) units (from \(x = 5\) to \(x = 9\)).

Step2: Calculate the scale factor

The scale factor \(k=\frac{\text{length of side in image}}{\text{length of side in pre - image}}\). So \(k = \frac{A'B'}{AB}=\frac{4}{2}\).

Answer:

\(2\)