Asked by Toxic
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: rotating one triangle about N aligns the rays from N, so the angles at N are congruent. Together with the given congruence ∠LMN ≅ ∠NOP, the triangles have two pairs of equal angles (AA), so △LMN ~ △PON (a rotation about N followed by a dilation carries one triangle to the other).
Explanation: rotating one triangle about N aligns the rays from N, so the angles at N are congruent. Together with the given congruence ∠LMN ≅ ∠NOP, the triangles have two pairs of equal angles (AA), so △LMN ~ △PON (a rotation about N followed by a dilation carries one triangle to the other).
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