Question

why is the information in the diagram enough to determine that △lmn - △pon using a rotation about point n and a dilation? because both triangles appear to be equilateral because ∠mnl and ∠onp are congruent angles because one pair of congruent corresponding angles is sufficient to determine similar triangles because both triangles appear to be isosceles, ∠mln ≅ ∠lmn, and ∠nop ≅ ∠opn

Explanation:

Similar triangles can be determined by congruent angles. ∠MNL and ∠ONP are vertical - angles and thus congruent, which is key for similarity.

Answer:

because ∠MNL and ∠ONP are congruent angles