Question

given that d is the midpoint of $overline{ab}$ and k is the midpoint of $overline{bc}$, which statement must be true? d bisects $overline{ak}$. ak + bk = ac. db = bk. b is the midpoint of $overline{ac}$.

Explanation:

Step1: Define mid - point property

Since D is mid - point of AB, AD = DB. Since K is mid - point of BC, BK = KC.

Step2: Analyze AK + BK

AK=AB + BK, and AB + BC = AC. Also, BK = KC. So AK + BK=(AB + BK)+BK=AB + 2BK=AB + BC = AC.

Answer:

AK + BK = AC