# A triangle has corners at #(6 ,3 )#, #(4 ,-1 )#, and #(2 ,-9 )#. If the triangle is dilated by a factor of #5 # about point #(2 ,-4 ), how far will its centroid move?

##### 1 Answer

It will move by distance

#### Explanation:

We need to compute the old centroid and the new centroid first.

We compute the old centroid

Old centroid

Now we compute the new centroid

The given problem is about dilated by a factor of 5, therefore the ratio of the distance of the new centroid from the reference point

For

For

New centroid

Distance

God bless...I hope the explanation is useful.