A line segment with endpoints at #(2 , 2 )# and #(6, 1 )# is rotated clockwise by #(3 pi)/2#. What are the new endpoints of the line segment?
1 Answer
Apr 23, 2016
(2,2) → (-2,2) and (6,1) → (-1,6)
Explanation:
Under a rotation of
# (3pi)/2" clockwise about the origin"# a point (x , y) → (-y ,x)
Using this fact on the above points gives:
(2 ,2) → (-2 ,2) and (6 ,1) → (-1 ,6)