Question

PLEASE HELP

The length of AB¯¯¯¯¯ is 5 units.

What is the length of the image of the line segment after a dilation with a scale factor of 52?



Enter your answer in simplest form in the box.

Answer 1

Given the length of AB = 5 units, scale factor(c) =
`(5)/(2)`

When we dilate a line segment, the original line segment will always be parallel to the image.

Also, if the length of the original line segment is L and the scale factor is c, the length of the image will be after dilation is, cL

length of image(A'B') =
`scale factor * length of original length (AB)`

A'B =
`(5)/(2) * 5 = (25)/(2)`

Therefore, the length of the image of AB is,
`(25)/(2)` units.