Question

what is the scale factor from (\triangle def) to (\triangle abc)?

Explanation:

Step1: Identify corresponding sides

Corresponding sides: \( AB = 10 \), \( DE = 20 \); \( BC = 6 \), \( EF = 12 \); \( AC = 7 \), \( DF = 14 \).

Step2: Calculate scale factor

Scale factor \( k=\frac{AB}{DE}=\frac{10}{20}=\frac{1}{2}\), \(k = \frac{BC}{EF}=\frac{6}{12}=\frac{1}{2}\), \(k=\frac{AC}{DF}=\frac{7}{14}=\frac{1}{2}\).

Answer:

A. \( \frac{1}{2} \)