# A triangle has corners at #(-1 ,3 )#, #(3 ,-2 )#, and #(8 ,4 )#. If the triangle is dilated by a factor of #5 # about point #(-2 ,6 ), how far will its centroid move?

##### 1 Answer

Centroid moves by a distance of

#### Explanation:

Given A (-1,3), B(3,-2), C (8,4),

Dilation point D (-2,6), Dilation factor 5

To find

1. Present centroid,

2. centroid after dilation and

3. distance between the two centroids.

Present centroid

Similarly,

Centroid of dilated triangle A'B'C' is

Distance between centroids can be found using distance formula,

(corrected to one decimal)