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question 7 of 10 what is the scale factor from \\( \\triangle a b c \\)…

Question

question 7 of 10 what is the scale factor from \\( \triangle a b c \\) to \\( \triangle u v w \\)?

a. \\( \frac{1}{5} \\)
b. \\( \frac{1}{20} \\)
c. 20
d. 5

Explanation:

Step1: Recall the formula for scale factor

The scale factor from \(\triangle ABC\) to \(\triangle UVW\) is given by \(\frac{\text{side length of }\triangle UVW}{\text{side length of }\triangle ABC}\).

Step2: Choose corresponding sides

Take side \(AB = 5\) from \(\triangle ABC\) and side \(UV=25\) from \(\triangle UVW\).

Step3: Calculate the scale factor

Scale factor \(=\frac{UV}{AB}=\frac{25}{5} = 5\).

Answer:

D. 5