# A line segment has endpoints at #(3 ,2 )# and #(5 ,4 )#. The line segment is dilated by a factor of #4 # around #(2 ,3 )#. What are the new endpoints and length of the line segment?

##### 2 Answers

We know,if a point P of coordinate (a,b) be dilated by a factor n around the point of coordinate (h,k), then after dilation the new position of point will be

This means

Using this formula we get

Length of

Length of

length =

#### Explanation:

If

so if

and