Question

The points A, B, and C reside on a line segment. B is the midpoint of AC. If line AB measures 6 units in length, what is the length of line AC?

Answer 1

12 units

Explanation:

A-------6--------B-------?--------C

Midpoint is center that divides the line segment into two equal halves.

∴ AB = BC

If line AB measures 6 units in length, then, line BC will measure 6 units in length.

AB = BC = 6 units

AC = AB + BC

AC = 6 units + 6 units

AC = 12 units

OR

We can say If B is the midpoint of AC, then AC is twice as long as AB.

AC = 2AB

AC = 2 × 6 units

AC = 12 units

Therefore, the length of line AC is 12 units.