Geometry: Common Core (15th Edition)

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

Chapter 4 - Congruent Triangles - 4-1 Congruent Figures - Practice and Problem-Solving Exercises - Page 223: 33



Work Step by Step

Corresponding parts of congruent triangles are congruent. If $\triangle DEF$ is congruent to $\triangle LMN$, then vertex $D$ corresponds to vertex $L$, vertex $E$ corresponds to vertex $M$, and vertex $F$ corresponds to vertex $N$. Let's look at the different answer options: A. $\overline{DE}$ is congruent to $\overline{LM}$, not $\overline{LN}$. This statement is false. B. $\overline{FE}$ is congruent to $\overline{NM}$, not $\overline{NL}$. This statement is false. C. $\angle N$ is congruent to $\angle F$. This statement is true. D. $\angle M$ is congruent to $\angle E$, not $\angle F$. This statement is false. Our answer is option $C$.
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