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.

7. d. 64

8. i. 32

9. c. 125

10. j. none of the above

11. d. 81

12. i. 216

13. e. none of the above

14. g. 240

15. e. none of the above

16. g. 32

17.   e. none of the above

sine

step-by-step explanation: