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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: AD = 1/3 AC
B: AC = 4DB
C: AB + DC = AC
D: BK = KC

Given that D is the midpoint of AB and B is the midpoint of AC which statement must be true A AD 13 AC B AC 4DB C AB DC AC D BK KC class=

Respuesta :

Answer:

B: AC = 4DB

Step-by-step explanation:

Since B is the midpoint of AC, this means that AB≅BC.

Since D is the midpoint of AB, then AD≅DB.

This means that AD is 1/4 of the length of AC, since it is 1/2 of 1/2 of the length (1/2*1/2 = 1/4).  DB is the same length, since it is congruent to AD.

This means that AC = 4DB.

The correct statement is AC = 4DB and this can be determined by using the given data and the arithmetic operations.

Given :

Given that D is the midpoint of AB and B is the midpoint of AC.

The following steps can be used in order to determine the correct statement:

Step 1 - According to the given data, D is the midpoint of AB.

Step 2 - It is also given that B is the midpoint of AC.

Step 3 - So, from the above steps it can be concluded that:

AB = 2AD = 2DB  --- (1)

AC = 2AB = 2BC  ---- (2)

Step 4 - Substitute the value of AB in equation (2).

AC = 4DB

Therefore, the correct option is B).

For more information, refer to the link given below:

https://brainly.com/question/8943202

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