Question

Triangle ABC is drawn on a coordinate plane with vertices A(−2,−3) , B(4, 0) , and C(−2, 2) and medians indicating the midpoint of each of the line segments AB¯¯¯¯¯¯¯¯ , BC¯¯¯¯¯¯¯¯ , and CA¯¯¯¯¯¯¯¯ . Prove that the medians meet at a single point by finding the centroid.

Answer 1

(0,−13)
open paren 0 comma negative 1 third close paren

(0, 53)
open paren 0 comma 5 thirds close paren

(0, 0)
open paren 0 comma 0 close paren

(−1, 53)
these are one of the answers

Answer 2

that is not the answer

Answer 3

these are the answers provided.

(0,−1/3)


(0, 5/3)


(0, 0)


(−1, 5/3)