# Point A is at #(5 ,-8 )# and point B is at #(-3 ,3 )#. Point A is rotated #pi/2 # 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

May 27, 2018

See below.

#### Explanation:

A rotation of

Points:

Where

Using the distance formula to find the distance between A and B and A' and B'

We didn't need to even calculate this. A rotation doesn't change the relative distance between points. The question is very ambiguous when it asks for distance between A and B. I have assumed it meant between