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: 42

Answer

$\triangle JLM$ is congruent to $\triangle NRZ$. $\triangle JLM$ is congruent to $\triangle ZRN$.

Work Step by Step

These two triangles are both isosceles triangles. We can flip the second triangle and still have a triangle congruent to $\triangle JLM$. The congruent sides are: $\overline{JL}$ is congruent to $\overline{NR}$ and $\overline{ZR}$ $\overline{LM}$ is congruent to $\overline{RZ}$ $\overline{JM}$ is congruent to $\overline{NZ}$ The congruent angles are: $\angle M$ is congruent to $\angle Z$ and $\angle N$ $\angle R$ is congruent to $\angle L$ With these congruent lines and angles in mind, $\triangle JLM$ is congruent to $\triangle NRZ$ and $\triangle ZRN$.
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