A line segment with endpoints at (5 , -9 ) and (2, -2 ) is rotated clockwise by (3 pi)/2. What are the new endpoints of the line segment?

1 Answer
Jim G.
Jun 22, 2016

(5 ,-9) → (9 ,5) and (2 ,-2) → (2 ,2)

Explanation:

I am assuming a rotation about the origin.

Under a rotation about the origin of (3pi)/2

A point (x ,y) → (-y ,x)

Hence (5 ,-9) → (9 ,5) and (2 ,-2) → (2 ,2)

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