Question

find the scale factor of △abc to △def.

Explanation:

Step1: Recall the formula for scale factor

The scale factor of \(\triangle ABC\) to \(\triangle DEF\) is \(\frac{\text{side length of }\triangle ABC}{\text{side length of }\triangle DEF}\)

Step2: Calculate the scale factor using corresponding sides

Take the sides \(AB = 12\) and \(DE=6\). Then the scale factor \(k=\frac{AB}{DE}\)
Substitute the values: \(k = \frac{12}{6}=2\)

Answer:

\(2\) (corresponding to option D)