Question

Triangles L M N and P O N connect at point N. Angles L M N and N O P are congruent.

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

Answer 1

Answer: because ∠MNL and ∠ONP are congruent angles

Explanation:

Options 1 and 4 are wrong because we cannot base our answer on assumptions from the diagram.

Option 3 is wrong because you need two pairs of corresponding congruent angles to prove similar triangles, not just 1.