Question
\( \triangle \mathrm{DEF} \cong \Delta \mathrm{STU} \). Complete the congruence statement. \( \Delta \mathrm{TUS} \cong ? \) \( \Delta \mathrm{TUS} \cong \Delta \square \)
Ask by Collins Lee. in the United States
Mar 14,2025
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Answer
\(\triangle TUS \cong \triangle EFD\).
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Mind Expander
In your congruence statement, since triangles \(\triangle DEF\) and \(\triangle STU\) are congruent, their corresponding parts are also congruent. This means that the order of the vertices matters. With that in mind, since \(\triangle DEF\) is congruent to \(\triangle STU\), you can rearrange the vertices of \(\triangle STU\) in the same way to complete the congruence statement. So, we have: \(\Delta TUS \cong \Delta FED\).