# A triangle has corners at #(2 ,3 )#, #(1 ,-2 )#, and #(-6 ,6 )#. If the triangle is dilated by a factor of #5 # about point #(-3 ,2 ), how far will its centroid move?

##### 1 Answer

Dec 20, 2017

The centroid will move by

#### Explanation:

The corners of the triangle are

The centroid of triangle

Let the the new centroid be

Let the fixed point be

Let the coefficient of dilatation be

Therefore, in vector notation

The centroid will move by