Question

Triangle ABC
is drawn on a coordinate plane with vertices A(−3,−3)
, B(0,6)
, and C(4,−3)
and medians indicating the midpoint of each of the lines AB
, BC
, and CA
. Prove the medians meet at a single point by finding the centroid.(1 point)
Responses

(13,0)
left parenthesis Start Fraction 1 over 3 End Fraction comma 0 right parenthesis

(16,3)
left parenthesis Start Fraction 1 over 6 End Fraction comma 3 right parenthesis

(0,13)
left parenthesis 0 comma Start Fraction 1 over 3 End Fraction right parenthesis

(13,1)
left parenthesis Start Fraction 1 over 3 End Fraction comma 1 right parenthesis
Skip to navigation

Answer 1

Centroid = average of vertices = ((-3+0+4)/3, (-3+6-3)/3) = (1/3, 0).
So the medians meet at (1/3, 0) — choose the (1/3, 0) option.