Math  /  Geometry

Question50. Given: ACEC,BCDC\overline{A C} \cong \overline{E C}, \overline{B C} \cong \overline{D C}
Prove: ABCEDC\triangle A B C \cong \triangle E D C \begin{tabular}{l|l} \multicolumn{1}{c|}{ Statements } & \multicolumn{1}{c}{ Reasons } \\ \hline 1. ACEC\overline{A C} \cong \overline{E C} & 1. Given \\
2. BCDC\overline{B C} \cong \overline{D C} & 2. GNen \\
3. ACBECD\angle A C B \cong \angle E C D & 3. \\ 4.ABCEDC4 . \triangle A B C \cong \triangle E D C & 4. \end{tabular}

Studdy Solution
The completed proof table is:
\begin{tabular}{l|l} \multicolumn{1}{c|}{ Statements } & \multicolumn{1}{c}{ Reasons } \\ \hline 1. ACEC\overline{AC} \cong \overline{EC} & 1.
Given \\
2. BCDC\overline{BC} \cong \overline{DC} & 2.

Given \\
3. ACBECD\angle ACB \cong \angle ECD & 3.

Vertical Angles are Congruent \\
4. ABCEDC\triangle ABC \cong \triangle EDC & 4.

SAS Postulate \end{tabular}

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