Question

what is the scale factor from \\( \triangle abc \\) to \\( \triangle def \\)?
\\( \bigcirc 4 \\)
\\( \bigcirc \frac { 1 } { 2 } \\)
\\( \bigcirc \frac { 1 } { 4 } \\)

Explanation:

Step1: Identify corresponding sides

Corresponding sides of similar triangles are \(AB = 12\) and \(DE=3\)

Step2: Calculate scale factor

Scale factor \(=\frac{DE}{AB}=\frac{3}{12}=\frac{1}{4}\)

Answer:

\(\frac{1}{4}\)