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? (a)A translation because it can map one angle onto another since dilations preserve angle measures of triangles. (b) A rotation because it can change the orientation of a figure since dilations do not preserve orientation. (c) A dilation because it can map one side onto another since dilations preserve side length of triangles. (d) A reflection because it can change the orientation of a figure since dilations do not preserve orientation.

The correct answer is m∠R ≅ m∠N; this can be confirmed by translating point R to point N.

Step-by-step explanation: I hope this helps!

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 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 means: 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.

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