The congruence theorems or postulates that could be given as reasons why triangles ABC and LMN are congruent are: LL, HL and SAS
How to determine the congruence theorems
From the figure, we can see that the hypotenuse of both triangles are congruent; this represents the HL theorem
Also, the acute legs of both triangles are congruent;
This represents the LL theorem
One angle is between two congruent sides in both triangles.
This represents the SAS theorem
Hence, the congruence theorems or postulates that could be used are: LL, HL and SAS
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