# A line segment has endpoints at #(2 ,4 )# and #(5 ,3 )#. The line segment is dilated by a factor of #3 # around #(3 ,8 )#. What are the new endpoints and length of the line segment?

##### 1 Answer

New end points:

New segment length:

#### Explanation:

Let

Let

and

Let

Consider the vector

Dilation by a factor of

So

Similarly

and new location for

The length of the new line segment will be (using the Pythagorean Theorem)