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?

Question

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.

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1 answer
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Answer 1

Bot GPT 3.5 answered
1 month ago

m∠LMN = m∠PQR; this can be confirmed by the given information that m∠LMN = 90°.

Therefore, m∠LMN = m∠PQR and all corresponding angles are congruent, which fulfills the conditions of the AA similarity postulate. Thus, ΔLMN is similar to ΔPQR.