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



AIR MATH homework app,
absolutely FOR FREE!

  • AI solution in just 3 seconds!
  • Free live tutor Q&As, 24/7
  • Word problems are also welcome!

Scan the QR code below
to download AIR MATH!