Answer:
SSS: LM = AB and MN = AC
HL: AC = MN
Step-by-step explanation:
✔️Information that is necessary to prove that both triangles are congruent by SSS are:
LM = AB
MN = AC
This will is because all three corresponding sides must be congruent to each other to satisfy the SSS Congruence criterion.
✔️Information necessary to prove that the triangles are congruent by HL:
We already know that one of the corresponding legs are congruent to each either. The additional information necessary to satisfy the HL Congruence criterion is to know the hypotenuse length of each which must be congruent to each other. This, information necessary would be:
AC = MN