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Please help!!!

Triangle AA'B'C' is the image of AABC under a dilation.
What is the scale factor of the dilation?

Please help!!! Triangle AA'B'C' is the image of AABC under a dilation. What is the-example-1
User Ichigolas
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2 Answers

5 votes

Answer:

+2

Explanation:

red is up scaled by *2 dilation

User Dharmendra Barad
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8 votes

The scale factor of a dilation is the ratio of the corresponding side lengths of the dilated and original figures. In this case, the red triangle is dilated to twice its original size, so the scale factor is 2.

This can be seen by comparing the corresponding side lengths of the two triangles:

Original triangle (AABC):

AB = 10

BC = 12

CA = 15

Dilated triangle (AA'B'C'):

A'B' = 20

B'C' = 24

C'A' = 30

As you can see, each side length of the dilated triangle is twice as long as the corresponding side length of the original triangle. Therefore, the scale factor of the dilation is 2.

This is also consistent with the red color indicating that the triangle has been upscaled by a factor of 2.

User Vliu
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