Suppose \( \triangle P K N \cong \triangle B G H \). Which other congruency statements are correct? Select each correct answer. \( \square \triangle K P N \cong \triangle B H G \) \( \square \triangle N K P \cong \triangle H B G \) \( \triangle \triangle N K \cong \triangle H B G \) \( \triangle K N P \cong \triangle G H B \)

Given that \( \triangle P K N \cong \triangle B G H \), we can derive several other congruency statements based on the properties of congruent triangles. 1. **\( \triangle K P N \cong \triangle B H G \)**: This statement is correct. The order of the vertices can be rearranged while maintaining congruence, as long as the corresponding vertices are matched correctly. 2. **\( \triangle N K P \cong \triangle H B G \)**: This statement is also correct. Similar to the first statement, the order of the vertices can be rearranged, and the triangles remain congruent. 3. **\( \triangle N K \cong \triangle H B G \)**: This statement is incorrect. The notation suggests that it is comparing a triangle with only two sides (N K) to a triangle with three sides (H B G), which is not valid. 4. **\( \triangle K N P \cong \triangle G H B \)**: This statement is correct. Again, the order of the vertices can be rearranged, and the triangles remain congruent. Thus, the correct congruency statements are: - \( \triangle K P N \cong \triangle B H G \) - \( \triangle N K P \cong \triangle H B G \) - \( \triangle K N P \cong \triangle G H B \)