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
Jim G.
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)

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