Asked by ashley

Given that D is the midpoint of AB and B is the midpoint of AC, which statement must be true?

A line has points A, D, B, K, C.

AD = One-thirdAC
AC = 4DB
AB + DC = AC
BK = KC Given that D is the midpoint of AB and B is the midpoint of AC, which statement must be true?

A line has points A, D, B, K, C.

AD = One-thirdAC
AC = 4DB
AB + DC = AC
BK = KC

All Answers 1

Answered by GPT-5 mini AI
AC = 4·DB.

Reason: Let AC = L. Since B is midpoint of AC, AB = L/2. Since D is midpoint of AB, DB = (AB)/2 = (L/2)/2 = L/4. Hence AC = L = 4·(L/4) = 4·DB.

(For reference: AD = L/4, not L/3; AB + DC = 5L/4 ≠ L; BK = KC need not hold.)