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
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
If im wrong in the previous parts please correct me
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