[helpmee1234567890]

Hey guyss
Im really stuck on this question

In a triangle ABC the points D, E, F trisect the sides so that BC = 3 BD, CA = 3 CE,
and AB = 3 AF. Show that triangles ABC and DEF have the same centroid.

Ok so i found the centroid of ABC which is (a-b/3,c/3)
I did this buy plotting the triangle onto a x and y axis and having the coordinates

A(-b,0)
B(a,0)
C(0,c)

now i have to prove that the triangle DEF inside of triangle ABC has the same centroid but im having trouble getting the coordinates of triangle DEF

HELP PLEASEE
THANK YOU

[helpmee1234567890]

If im wrong in the previous parts please correct me

[helpmee1234567890]

anyone?
im sad