# Points A and B are at #(4 ,6 )# and #(8 ,3 )#, respectively. Point A is rotated counterclockwise about the origin by #pi # and dilated about point C by a factor of #1/2 #. If point A is now at point B, what are the coordinates of point C?

##### 1 Answer

Jul 12, 2017

The coordinates of point

#### Explanation:

The matrix of a rotation counterclockwise by

Therefore, the transformation of point

Let point

So,

and

Therefore,

point