Shaun drew δlmn, in which m∠lmn = 90°. he then drew δpqr, which was a dilation of δlmn by a scale factor of 3 from the center of dilation at point m. which of these can be used to prove δlmn ~ δpqr by the aa similarity postulate?

segment lm = 3segment pq; this can be confirmed translating point p to point l.
segment mn = 3segment qr; this can be confirmed translating point r to point n.
m∠p ≅ m∠n; this can be confirmed by translating point p to point n.
m∠r ≅ m∠n; this can be confirmed by translating point r to point n.

The correct option is:

m∠R ≅ m∠N; this can be confirmed by translating point R to point N.

Step-by-step explanation:

ΔPQR, is a dilation of ΔLMN by a scale factor of 3 from the center of dilation at point M.

Which mean that the point M overlap the point Q, the point L translated to the point P and the point N to the the point R

So, ∠M=∠Q , ∠L=∠P , ∠N=∠R

And we should know that the dilation of triangles makes it similar.

And AA similarity postulate mean : the triangle will be similar when two pairs of corresponding angles are equal.

So, the correct answer will be the fourth option

m∠R ≅ m∠N; this can be confirmed by translating point R to point N.

m∠R ≅ m∠N; this can be confirmed by translating point R to point N.

its 4 because 2 times 2 is 4, if you double the number two you get four