# A line segment goes from #(6 ,5 )# to #(7 ,3 )#. The line segment is dilated about #(2 ,1 )# by a factor of #3#. Then the line segment is reflected across the lines #x = 3# and #y=-4#, in that order. How far are the new endpoints form the origin?

##### 1 Answer

Distance of the points from the origin after dilation and reflection :

#### Explanation:

Given :

Now we have to find A', B' after rotation about point C (2,1) with a dilation factor of 3.

Similarly,

Now to find

Reflection Rules :