Question

A line segment with endpoints at `(1 , -8 )` and `(2, -2 )` is rotated clockwise by `(3 pi)/2`. What are the new endpoints of the line segment?

Answer 1

`(1,-8)to(8,1),(2,-2)to(2,2)`

Explanation:

Assuming the rotation is about the origin. Then under a clockwise rotation of `(3pi)/2`

a point (x ,y) → (-y ,x)

hence (1 ,-8) → (8 , 1 ) and (2 ,-2) → (2 ,2)