Question

A line segment with endpoints at `(-1 , -9)` and `(3, -5 )` is rotated clockwise by `pi/2`. What are the new endpoints of the line segment?

Answer 1

`(-1,-9)to(-9,1)" and " (3,-5)to(-5,-3)`

Explanation:

I am assuming this a rotation about the origin.

Under a clockwise rotation about the origin of `pi/2`

a point (x ,y) → (y ,-x)

hence (-1 ,-9) → (-9 ,1) and (3 ,-5) → (-5 ,-3)