The line segment DH shows the correct result of the dilation.
Step-by-step explanation:
Step 1:
To determine the scale factor, we divide the value of a segment of the figure after dilation by the same segment before dilation.
It is given that the scale factor is 2.
The segment we are dilating is the line segment XY. So the line segment before dilation is 3 units long.
Assume the length of the segment XY after dilation is x units long.
We can substitute the values we know in the equation.
Step 2:
Substituting the values, we get
[tex]scale factor = \frac{x}{3} ,[/tex]
[tex]2 = \frac{x}{3} , x = 2(3) = 6.[/tex]
So the segment after dilation is 6 units long and from the given diagram, we have the line segment DH is 6 units long.
So the line segment DH shows the correct result of the dilation.
