A line segment with endpoints at #(2 , 2 )# and #(5, -3 )# is rotated clockwise by #pi #. What are the new endpoints of the line segment?
1 Answer
Jun 9, 2016
(2 ,2) → (-2 ,-2) , (5 ,-3) → (-5 ,3)
Explanation:
I am assuming that this is a rotation about the origin.
Under a rotation of
#pi" about the origin"# a point (x ,y) → (-x ,-y)
hence (2 ,2) → (-2 ,-2) and (5 ,-3) → (-5 ,3)