Final answer:
Triangles ∆LMN and ∆OPQ cannot be determined to be congruent with the given information; no congruence postulate such as SAS, ASA, or SSS can be applied, therefore the correct answer is option D, 'Might not be congruent.'
Step-by-step explanation:
The question asks if triangles ∆LMN and ∆OPQ are congruent and which congruence postulate applies. However, from the information provided, we cannot determine congruence since no matching sides are given as equal, nor are any angles stated as congruent. Thus, we do not have enough information to apply any congruence postulate such as SAS (Side-Angle-Side), ASA (Angle-Side-Angle), or SSS (Side-Side-Side). The one piece of information given, NL = 20, is an isolated piece of data without a corresponding congruent segment in ∆OPQ. Therefore, option D, which indicates the triangles 'Might not be congruent,' is the correct answer. Without additional information, we can't conclude that ∆LMN is congruent to ∆OPQ.