7. Write a two-column proof. Given: $$ \overline { B C } \cong \overline { E C } $$ and $$ \overline { A C } \cong \overline { D C } $$ Prove: $$ \overline { B A } \cong \overline { E D }$$

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7. Write a two-column proof. Given: $$ \overline { B C } \cong \overline { E C } $$ and $$ \overline { A C } \cong \overline { D C } $$ Prove: $$ \overline { B A } \cong \overline { E D }$$

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In triangle BCA and triangle ECD:BC = EC                  [Given]∠BCA = ∠ECD        [Vertically opposite Angles]AC = DC                  [Given]By SAS Congruence Criteria:triangle BCA $$\cong$$triangle ECD$$∴ \overline{BA}\cong\overline{ED}$$    [Corresponding sides of congruent triangles]

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7. Write a two-column proof. Given: \( \overline { B C } \cong \overline { E C } \) and \( \overline { A C } \cong \overline { D C } \) Prove: \( \overline { B A } \cong \overline { E D }\)

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