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 ===> = 2
and from proportionality theorem we now that:
= = 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
XY and DH are parallel lines with DH = 2 × XY = 2 × 3 = 6
DH is the correct segment under the given dilatation
Segment DH is the answer.
Segment XY is dilated through point M with a scale factor of 2.
We have to find the correct line formed after dilation of XY about point M.
In ΔMXY and ΔMDH
Means DH = 2×(XY)
Which clearly shows that segment XY has been dilated by a scale factor of 2,while ratio with other segments is different from the scale factor of dilation.
Therefore DH is the segment dilated by a scale factor of 2.
The answer is 4.(DH)
I just took the test.