Question

question 3 of 10
what is the scale factor from \\( \triangle a b c \\) to \\( \triangle d e f \\)?

a. \\( \frac{1}{2} \\)
b. 2
c. \\( \frac{1}{6} \\)
d. 6

Explanation:

Step1: Identify corresponding sides

Corresponding sides of similar triangles are \(AB = 72\) in \(\triangle ABC\) and \(DE=12\) in \(\triangle DEF\)

Step2: Calculate scale factor

Scale factor \(=\frac{DE}{AB}=\frac{12}{72}=\frac{1}{6}\)

Answer:

C. \(\frac{1}{6}\)