Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 2 - Solving Equations - 2-8 Proportions and Similar Figures - Lesson Check - Page 133: 4


part a: yes part b: no part c: yes

Work Step by Step

ΔABC∼ΔTUV Part a: The angle measurements are the same in similar figures. As the book states,"The order of the letters when you name similar figures tells which parts of the figures are corresponding parts (pg. 130)." Therefore, ∠A≅∠T. Part b: The side length proportions are the same for similar triangles, but the actual side length measurements are different, otherwise they would be congruent. Therefore, the perimeters are different. Part c: The ratio of the sides BC/UV and AC/TV are equal because BC and UV and AC and TV are corresponding sides as stated by the order of letters when the similar triangles were named.
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.