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. A

Question

4 years ago

5

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

1 answer:

lubasha [3.4K] · Answer 1 · 2022-01-19T16:36:18+03:00

Answer:

AC = 4DB

Step-by-step explanation:

see attachment

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

Also, D is the midpoint of AB, therefore AD≅DB.

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

Thus, AC = 4DB.