# A line segment goes from #(3 ,4 )# to #(5 ,1 )#. The line segment is dilated about #(1 ,0 )# by a factor of #2#. Then the line segment is reflected across the lines #x=-2# and #y=2#, in that order. How far are the new endpoints from the origin?

##### 1 Answer

If I've done it right the first is

#### Explanation:

Thought I just did one of these.

Shifting the dilation point to the origin maps the other points:

Doubling each dilates around the origin by a factor of two.

Now we shift the origin back to the dilation point:

Now we reflect through

Now we reflect through

If I've done that right the first is