Assume that GHI LMN. Which of the following congruence statements are correct? Check all that apply.A. B.L IC.N ID.M HE. F.

To determine which of the following congruence statements are correct given that triangles $GHI$ and $LMN$ are congruent, we can use the properties of triangle congruence, specifically that corresponding parts of congruent triangles are congruent (CPCTC).

Conclusions Based on Given Information

1. Corresponding Parts Identification:

   • Since triangles $GHI$ and $LMN$ are congruent, we have:
     • $G$ corresponds to $L$
     • $H$ corresponds to $M$
     • $I$ corresponds to $N$

2. Check Each Statement:

   • A. $B$
     • Not applicable as we have no reference to $B$ in triangles $GHI$ or $LMN$.
   • B. $L \equiv I$
     • Incorrect: $L$ corresponds to $G$, not $I$.
   • C. $N \equiv I$
     • Incorrect: $N$ corresponds to $I$ only by positioning but not equal in congruence.
   • D. $M \equiv H$
     • Correct: $H$ corresponds to $M$.
   • E. $H \equiv E$
     • Not applicable as we have no reference to $E$ in triangles $GHI$ or $LMN$.
   • F.
     • Not specified, so cannot be determined without additional information.

Final Summary of Correct Statements

Based on the analysis, the only correct congruence statement is:

• D: $M \equiv H$

Thus, the valid statement based on the triangles being congruent is $D$.