Question

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

Answer 1

DH

Explanation:

XY and DH are parallel lines with DH = 2 × XY = 2 × 3 = 6

DH is the correct segment under the given dilatation

Answer 2

Segment DH is the answer.

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

`(DH)/(XY)=(6)/(3)`

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.