A line segment with endpoints at #(5 , -9 )# and #(2, -7 )# is rotated clockwise by #pi/2#. What are the new endpoints of the line segment?

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Answer 1 · 2016-11-04T04:44:29

The endpoints of the new line segment are #(9,5)# and #(7,2)#.

Rotate each point #pi/2# radians, so I'll start with #(2,-7)# because it's closer to the origin.
#(2,-7)# becomes #(7,2)#
#(5,-9)# becomes #(9,5)#