find the point B on AC such that the ratio of AB to BC is 1:1

Question

involving dividing line segments

is a geometry class

Answer 1

If B divides line AC into two equal parts, then B is the midpoint and we can use the midpoint formula:

 

x_B = (x_A + x_C)/2

y_B = (y_A + y_C)/2

 

Answer 2

B would be, by definition, the midpoint.