Question

A line segment with endpoints at `(-1 , 6 )` and `(-7, 3 )` is rotated clockwise by `pi`. What are the new endpoints of the line segment?

Answer 1

(-1 ,6) → (1 ,-6) and (-7 ,3) → (7 ,-3)

Explanation:

I am assuming this is a rotation about the origin.

Under a rotation about the origin of `pi`

a point (x ,y) → (-x ,-y)

Note these would be the same points if they were rotated anti-clockwise by `pi` about the origin.

hence (-1 ,6) → (1 ,-6) and (-7 ,3) → (7 ,-3)