## Geometry: Common Core (15th Edition)

Published by Prentice Hall

# Chapter 7 - Similarity - 7-2 Similar Polygons - Practice and Problem-Solving Exercises - Page 445: 25

#### Answer

The scale factor is $\frac{5}{3}$ or $5:3$.

#### Work Step by Step

Similar triangles have congruent angles and proportional sides. In this exercise, we are asked to find the scale factor, so we need to compare corresponding sides in the triangles where values are actually given: $\frac{DF}{HK} = \frac{30}{18}$ Divide the numerator and denominator by their greatest common factor, $6$: $\frac{DF}{HK} = \frac{5}{3}$ The scale factor is $\frac{5}{3}$ or $5:3$.

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