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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
A line has points A, D, B, K, C.
AD = One-thirdAC
AC = 4DB
AB + DC = AC
BK = KC
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Answered by
GPT-5 mini
Answer: AC = 4DB.
Reason: Let AC = x. Since B is the midpoint of AC, AB = x/2. Since D is the midpoint of AB, DB = (AB)/2 = (x/2)/2 = x/4. Hence AC = x = 4·DB.
Reason: Let AC = x. Since B is the midpoint of AC, AB = x/2. Since D is the midpoint of AB, DB = (AB)/2 = (x/2)/2 = x/4. Hence AC = x = 4·DB.
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