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\begin{tabular}{l} What congruency statement will CPCTC \\ allow us to state about the triangles \\ shown? \\ Two of these \\ \( \angle C \cong \angle N \) \\ \( \overline{L A} \cong \overline{M N} \) \\ \hline\( \overline{L A} \)\end{tabular}

Ask by Hampton Maxwell. in the United States
Dec 09,2024

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The congruency statement is: \( \overline{L A} \cong \overline{M N} \)

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Bonus Knowledge

To utilize CPCTC (Corresponding Parts of Congruent Triangles are Congruent), we first need to establish that the triangles in question are congruent through some congruency criteria, such as SSS, SAS, or ASA. Once that is confirmed, we can confidently say that the corresponding sides and angles are equal. So, based on the provided information, if triangles were found to be congruent, we could state that \( \overline{LA} \cong \overline{MN} \) given \( \overline{LA} \) is a corresponding side. Additionally, if we know \( \angle C \cong \angle N \) as established, then we can conclude all other corresponding parts are congruent as well, leading to an enriched understanding of the relationships between the elements of these triangles. Once you identify corresponding pieces, CPCTC really makes solving triangle problems a breeze!

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