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

##### 1 Answer

Distance moved by centroid is

#### Explanation:

Coordinates of centroid is obtained using the formula,

Given :

Centroid

Triangle is dilated about point D(-1,3) by a factor of 2/5

New centroid

Using distance formula, we can calculate the distance moved by centroid