Math  /  Geometry

Question5. Given: ABCD\overline{A B} \cong \overline{C D}
Prove: ACBD\overline{A C} \cong \overline{B D} \begin{tabular}{|l|l|} \hline \multicolumn{1}{|c|}{ Statements } & \multicolumn{1}{|}{ Reasons } \\ \hline 1. ABCD\overline{A B} \cong \overline{C D} & 1. \\ \hline 2. AB=CDA B=C D & 2. \\ \hline 3. AC+CD=ADA C+C D=A D & 3. \\ \hline 4. AB+BD=ADA B+B D=A D & 4. \\ \hline 5. CD+BD=ADC D+B D=A D & 5. \\ \hline 6. AC+CD=CD+BDA C+C D=C D+B D & 6. \\ \hline 7. AC=BDA C=B D & 7. \\ \hline 8. ACBD\overline{A C} \cong \overline{B D} & 8. \\ \hline \end{tabular} (c) Gina Wilson (All Things Algebra*, LLC), 20

Studdy Solution
We have successfully proven that ACBD\overline{AC} \cong \overline{BD}.

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