Question

triangle g is a scaled copy of triangle f. what scale factor takes triangle f to triangle g?

Explanation:

Step1: Recall the formula for scale factor

Scale factor \(=\frac{\text{Length in scaled copy}}{\text{Length in original}}\)

Step2: Choose corresponding sides

We can use the sides of length \(20\) (in triangle \(F\)) and \(15\) (in triangle \(G\)) or \(48\) (in triangle \(F\)) and \(36\) (in triangle \(G\)). Let's use \(20\) and \(15\).
Scale factor \(=\frac{15}{20}\)

Step3: Simplify the fraction

\(\frac{15}{20}=\frac{15\div5}{20\div5}=\frac{3}{4}\)

Answer:

\(\frac{3}{4}\)