Segment X Y is dilated through point M with a scale factor of 2. Which segment shows the correct result of the dilation? Answer choices AE BF CG DH

Question

asked Jan 4, 2021 202k views

2 Answers

Petar Velev · Answer 1 · 2021-01-10T23:59:55+0000

The line segment DH shows the correct result of the dilation.

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

scale factor = (x)/(3) ,

2 = (x)/(3) , x = 2(3) = 6.

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.