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.

Answer: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 RSo, ∠M=∠Q , ∠L=∠P , ∠N=∠RAnd 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 optionm∠R ≅ m∠N; this can be confirmed by translating point R to point N.