# A line segment has endpoints at #(3 ,4 )# and #(2 ,5 )#. If the line segment is rotated about the origin by # pi #, translated horizontally by # 2 #, and reflected about the x-axis, what will the line segment's new endpoints be?

##### 1 Answer

Oct 20, 2016

#### Explanation:

There is a special shortcut to rotate by

The first point rotated by

The second point rotated by

Translated horizontally by 2 means add two to the x coordinates:

Reflected about the x axis means multiply the y coordinates by -1: