Is it possible for these figures to be similar? Why or why not? 108 A9412.887107249486287B15

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Description: Is it possible for these figures to be similar? Why or why not? 108 A9412.887107249486287B15

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Math

Geometry

Is it possible for these figures to be similar? Why or why not?

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Placement Test Practice Problem #13
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Lyndsey was using the diagrams and Angle-Angle Triangle Similarity to prove the Pythagorean Theorem. "We can use the Angle-Angle Triangle Similarity Theorem to show that all 3 triangles are similar. Because the triangles are similar, corresponding side lengths are in the same proportion. Because the largest triangle is similar to the smaller triangle, =. a Because the largest triangle is similar to the middle triangle, =. We can rewrite these equations as a? = cd and b2 = ce. We can add the 2 equations to get that a2 + b2 = cd + ce or a? + b2 = c(d + e). From the original diagram we can see that d + e = c, so a² + b2 = c(c) or a2 + b2 = c²." Complete Lyndsey's proof by filling in the missing information. • Math symbols • Relations • Geometry • Groups • Trigonometry > Statistics • Series • Greek 立

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