Question

given: b is the midpoint of ac. prove: 2ab = ac. statements reasons 1) b is the midpoint of ac 1) 2) ab = bc 2) 3) ab+bc = ac 3) 4) ab+ab = ac 4) 5) 2ab = ac 5) what is the second reason? definition of congruence definition of midpoint segment addition postulate given

Explanation:

If B is the mid - point of AC, by the definition of mid - point, it divides the segment AC into two congruent segments AB and BC. So the reason for AB = BC when B is the mid - point of AC is the definition of mid - point.

Answer:

B. Definition of Midpoint