Asked by berlanda
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 = 4DB
Reason: Let AB = x. Then D is midpoint of AB so DB = x/2. Since B is midpoint of AC, AC = 2·AB = 2x. Thus AC = 2x = 4·(x/2) = 4DB. The other choices are not necessarily true.
Reason: Let AB = x. Then D is midpoint of AB so DB = x/2. Since B is midpoint of AC, AC = 2·AB = 2x. Thus AC = 2x = 4·(x/2) = 4DB. The other choices are not necessarily true.
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