As Triangle LMN has been dilated to form triangle L'M'N'. We have to find the least information needed to determine if the two triangles are similar.
Similar triangles have the same shape, but not necessarily the same size.
They can be proved similar by various criteria like AA, SSS, SAS.
In the first option, Segments LN and L'N' are congruent, and segments MN and M'N' are congruent. Only two sides are given congruent, which is not sufficient to prove it similar. This is not the correct option.
In the second option, Angles M and M' are congruent, and angles N and N' are congruent. "If two angles of one
triangle are congruent to two angles of another, then the
triangles are similar". Therefore it is the correct option to prove the given triangles similar.
In options 3 and 4, sides BC , B'C' are used which are not even included in the triangles LMN and L'M'N', so, they are not the correct options.
Therefore, Option 2 is the correct answer.
