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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. \( \triangle A B C \cong \triangle A D C \)
\( 5 . \)

Solution

solution

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