Question

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

Answer 1

The answer is 4.(DH)

Explanation:

I just took the test.

Answer 2

4.DH

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 ===>
`(PM)/(XY)` = 2

and from proportionality theorem we now that:

`(PM)/(XY)` =
`(MX)/(MP)` = 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