MATH SOLVE

5 months ago

Q:
# Given that D is the midpoint of AB and B is the midpoint of AC, which statement must be true? A: AD = 1/3 ACB: AC = 4DBC: AB + DC = ACD: BK = KC

Accepted Solution

A:

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.