# 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?

##### 1 Answer

Jun 13, 2016

(-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)