# Point A is at #(2 ,-3 )# and point B is at #(6 ,-6 )#. Point A is rotated #pi # clockwise about the origin. What are the new coordinates of point A and by how much has the distance between points A and B changed?

##### 1 Answer

Nov 25, 2016

No change in the distance.

#### Explanation:

The general rule is that in case of clockwise rotation by

Thus(2,-3 ) would become (-2, 3) and (6, -6) would become (-6,6)

The distance between A nd B =

After rotation the distance would be

This shows that there would be no change in the distance between the points after rotation.