Question

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

Explanation:

Step1: Identify corresponding sides

Corresponding sides are \(48\) (in triangle \(F\)) and \(36\) (in triangle \(G\)).

Step2: Calculate scale factor

Scale factor \(=\frac{\text{Length in }G}{\text{Length in }F}\). So, scale factor \(=\frac{36}{48}\).
Simplify \(\frac{36}{48}=\frac{3}{4}\) (divide numerator and denominator by \(12\)).

Answer:

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