Geometry: Common Core (15th Edition)

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

Chapter 7 - Similarity - Mid-Chapter Quiz - Page 459: 8


$\frac{AB}{DB} = \frac{BC}{BF}$

Work Step by Step

We are given that $\triangle ABC$ ∼ $\triangle DBF$. In similar triangles, corresponding angles are congruent and corresponding sides are proportional. Let us list the corresponding sides in the two triangles: $AB ≅ DB$ $BC ≅ BF$ $CA ≅ FD$ The scale factor is the same for each set of corresponding sides. A proportion can be written that compares corresponding sides of the two triangles: $\frac{AB}{DB} = \frac{BC}{BF}$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.