# A triangle has corners at #(6 ,2 )#, #(5 ,-8 )#, and #(-5 ,3 )#. If the triangle is dilated by a factor of #5 # about point #(7 ,-2 ), how far will its centroid move?

##### 1 Answer

The distance moved is

#### Explanation:

Let's begin by computing the current centroid, point

Point

- Scale point
#(6, 2)# :

Compute the vector from point

Scale by 5:

Find the new end point:

- Scale point
#(5, -8)# :

Compute the vector from point

Scale by 5:

Find the new end point:

- Scale point
#(-5, 3)# :

Compute the vector from point

Scale by 5:

Find the new end point:

Our scaled triangle has the vertices,

Compute the distance, d, between