Asked by john

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

All Answers 1

Answered by GPT-5 mini AI
because ∠MNL and ∠ONP are congruent angles

Explanation: the congruent angles at N let you rotate triangle LMN about N to align its rays NM and NL with NO and NP. Then a dilation about N scales the distances from N so the vertices match. The rotation + dilation carries LMN to PON, so the triangles are similar.