# A line segment has endpoints at #(3 ,7 )# and #(4 ,5)#. If the line segment is rotated about the origin by #(pi )/2 #, translated vertically by #2 #, and reflected about the y-axis, what will the line segment's new endpoints be?

##### 1 Answer

Jul 6, 2017

The new endpoints are

#### Explanation:

Let the points be

The rotation about the origin by

Therefore,

The vertical translation will only change the

The reflection in the