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

Answer 1

To determine that:
                              △LMN ≅  △PON

We would rotate the figure about point N and a dilation.

The best answer choice is :

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

Here are rules of rotation:

Rotate 90 counterclockwise =  (x, y) → (–y, x)

Rotate 180 counterclockwise = (x, y) → (–x, –y)

Rotate 270 counterclockwise = (x, y) → (y, –x) 

Answer 2

The answer would be C