Geometry: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281159
ISBN 13: 978-0-13328-115-6

Chapter 7 - Similarity - 7-3 Providing Triangles Similar - Practice and Problem-Solving Exercises - Page 458: 41

Answer

The scale factor is $\frac{2}{3}$ or $2:3$.

Work Step by Step

To find the scale factor of two similar polygons, we find the ratio of the measures of corresponding sides. Let's use sides that we know the definite measures of. This means we will use the corresponding sides $TR$ and $EZ$: $\frac{TR}{EZ} = \frac{4}{6}$ Divide both the numerator and denominator by their greatest common factor, $2$: $\frac{TR}{EZ} = \frac{2}{3}$ The scale factor is $\frac{2}{3}$ or $2:3$.
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