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

Answer:
DH
Step-by-step explanation:
XY and DH are parallel lines with DH = 2 × XY = 2 × 3 = 6
DH is the correct segment under the given dilatation
Answer:
Segment DH is the answer.
Step-by-step explanation:
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
[tex]\frac{DH}{XY}=\frac{6}{3}[/tex]
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.