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

##### 1 Answer

Mar 13, 2016

#### Answer:

#### Explanation:

Rotation through

Vertical translation by

Reflection about the

Performing each of these in sequence:

#(a, b) -> (-b, a) -> (-b, a+3) -> (b, a+3)#

Hence:

#(2, 2) -> (2, 5)#

#(5, 4) -> (4, 8)#