# Points A and B are at #(4 ,9 )# and #(7 ,2 )#, respectively. Point A is rotated counterclockwise about the origin by #(3pi)/2 # 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

May 7, 2017

The point

#### Explanation:

The matrix of a rotation counterclockwise by

Therefore, the trasformation of point

Let point

So,

and

Therefore,

point