AIR MATH

Math Question

Eli wants to prove that the side-angle-side (SAS) criterion is sufficient to show that \( \triangle A B C \cong \) \( \triangle D E F \). Eli starts by translating \( \triangle A B C \) to get \( \triangle A^{\prime} B^{\prime} C^{\prime} \), where \( B^{\prime}=E \). Finish explaining how Eli can show that \( \triangle A B C \cong \triangle D E F \). Rotate \( \triangle A^{\prime} B^{\prime} C^{\prime} \) about point \( B^{\prime} \) to get \( \triangle A^{\prime \prime} B^{\prime \prime} C^{\prime \prime} \), where \( \overrightarrow{B^{\prime \prime} A^{\prime \prime}} \) and \( \overrightarrow{E D} \) coincide and \( B^{\prime \prime}=E_{\text {. }} \) Translation and rotation preserve angle measure, so This means \( \overrightarrow{B^{\prime \prime} C^{\prime \prime}} \) also coincides with \( \overrightarrow{E F} \). Translation and rotation also preserve

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