Triangle a b c with centroid g is shown on an x and y-axis. lines are drawn from each point through the centroid to the opposite side to form line segments a f, b d, and c e. point a is at (0, 0), point d is at (c, 0), point c is at (2 c, 0), point b is at (2 a, 2 b), point f is at (a + c, b),and point e is at (a, b). the equation of line line a gis y = (startfraction b over a + c endfraction)x. the midpoint of bc is (a + c, b). does the midpoint of bc lie on line a g? why or why not? no, because (startfraction b over a + c endfraction)b does not equal a + c no, because (startfraction b over a + c endfraction)(a + c) does not equal b yes, because (startfraction b over a + c endfraction)b = a + c yes, because (startfraction b over a + c endfraction)(a + c) = b