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Math Question

3. Consider \( \triangle A B C \) and \( \triangle A D C \) in the diagram below. Complete the two column proof. Given: \( \overline{A C} \) is perpendicular to \( \overline{B D} ; \overline{A B} \cong \overline{A D} \) Prove: \( \triangle A B C \cong \triangle A D C \) Statements Reasons 1. \( \overline{A C} \) is perpendicular to \( \overline{B D} \). 1. Given 2. \( \angle A C B \) and \( \angle A C D \) are right \( 2 . \) angles. 3. \( \overline{A B} \cong \overline{A D} \) 3. Given 4. \( \overline{A C} \cong \overline{A C} \) \( 4 . \) 5. \( \triangle A B C \cong \triangle A D C \) \( 5 . \)

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