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Segment XY is dilated through point M with a scale factor of 2. Which segment shows the correct result of the dilation?



1. AE
2. BF
3. CG
4. DH

Segment XY is dilated through point M with a scale factor of 2 Which segment shows the correct result of the dilation 1 AE 2 BF 3 CG 4 DH class=

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Answer:

4.DH

Step-by-step explanation:

let's assume the point P to be the point that X will be after it is  dilated.

we know that after dilation the length of PM should be two two times the length of XY

PM = 2.XY ===>[tex]\frac{PM}{XY}[/tex] = 2

and from proportionality theorem we now that:

[tex]\frac{PM}{XY}[/tex] = [tex]\frac{MX}{MP}[/tex] = 2

So we know XY should be half the size of MP  and we can see the only line matching is DH thus the answer is DH

Answer:

The answer is 4.(DH)

Step-by-step explanation:

I just took the test.

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