Question

what is the scale factor from (\triangle uvw) to (\triangle xyz)?

Explanation:

Step1: Recall the formula for scale factor

Scale factor \(=\frac{\text{Length of side in }\triangle XYZ}{\text{Length of corresponding side in }\triangle UVW}\)

Step2: Choose a pair of corresponding sides

Let's take \(VW = 4\) (side in \(\triangle UVW\)) and \(ZY=16\) (corresponding side in \(\triangle XYZ\))

Step3: Calculate the scale factor

Scale factor \(=\frac{ZY}{VW}=\frac{16}{4} = 4\)

Answer:

\(4\)