Geometry: Common Core (15th Edition)

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

Chapter 4 - Congruent Triangles - Chapter Test - Page 277: 2


$\triangle NOE ≅ \triangle SOE$

Work Step by Step

1. $\overline{OE}$ is congruent to $\overline{OE}$ because they are shared by both triangles. 2. $\overline{NE}$ is marked congruent to $\overline{SE}$. 3. $\overline{NO}$ is marked congruent to $\overline{SO}$. Now, we have three sides on both triangles that are congruent; therefore, we can use the SSS postulate to prove that $\triangle NOE$ is congruent to $\triangle SOE$.
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