# A line segment has endpoints at #(5 , 2)# and #(3 , 1)#. 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

May 24, 2018

#### Explanation:

No direction of rotation is given, so I will take this as anti-clockwise:

A rotation of

A translation of -2 units map:

A reflection in the y axis map:

If we combine these, we get:

Therefore: