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

Question

19-07-2022
Mathematics

contestada

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

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akposevictor akposevictor · Answer 1 · 2022-07-19T16:48:59+02:00

The information is enough because: C. because one pair of congruent corresponding angles is sufficient to determine similar triangles.

What are Similar Triangles?

Similar triangles can be formed during dilation. All corresponding angles of similar triangles are usually congruent to each other.

From the image given, the using rotation about point N and then dilation by a scale factor will make both triangles similar. Thus, with the given information, we can determine both triangles are similar because: C. because one pair of congruent corresponding angles is sufficient to determine similar triangles.

Learn more about similar triangles on:

https://brainly.com/question/2644832

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wockstarrrrr wockstarrrrr · Answer 2 · 2022-07-30T03:58:39+02:00

wockstarrrrr wockstarrrrr

30-07-2022

Answer: C.

Step-by-step explanation:

because one pair of congruent corresponding angles is sufficient to determine similar triangles

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