# Point A is at #(4 ,-2 )# and point B is at #(2 ,-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

New coordinate:

Difference in distance:

#### Explanation:

**Finding the new coordinate**

With the

Rotating a point with respect to the origin by an odd integer multiple of

**Finding and comparing the distance between** **and**

Now that we have got the coordinates of

Before the rotation:

After the rotation:

Therefore the difference would be

References/ See also:

"Distance Between Two Points", Massey University,

http://mathsfirst.massey.ac.nz/Algebra/PythagorasTheorem/pythapp.htm

Wikipedia contributors. "Quadrant (plane geometry)." Wikipedia, The Free Encyclopedia. Wikipedia, The Free Encyclopedia, 22 Feb. 2018. https://en.wikipedia.org/wiki/Quadrant_(plane_geometry) 14 Mar. 2018.