# Points A and B are at #(3 ,8 )# and #(7 ,3 )#, respectively. Point A is rotated counterclockwise about the origin by #pi # and dilated about point C by a factor of #5 #. If point A is now at point B, what are the coordinates of point C?

##### 1 Answer

Apr 18, 2018

C=

#### Explanation:

Here Point A=(3,8).

Rotating 'bout the origin by

Again if the point

We know dilation of the coordinates are,Let k be the scale factor and (a,b) be the point C.

For a,

For b,

Hence