Question

Solve each problem below, writing an equation when necessary. B is the midpoint of AC. If AB=4, find AC.

a) AC=2
b) AC=4
c) AC=8
d) AC=16

Answer 1

To determine the length of line segment AC with B as the midpoint and AB equal to 4, we add AB and BC (also 4) together, calculating AC to be 8 units.

Step-by-step explanation:

The question involves solving for the length of line segment AC, given that point B is the midpoint of AC and that segment AB is equal to 4 units. Since B is the midpoint, it implies that segment BC is also equal to 4 units, as the definition of a midpoint is that it divides a segment into two equal lengths.

To find the length of AC, we simply add the lengths of AB and BC together, as AC is the entire line segment from point A through B to point C. Hence, AC = AB + BC which translates to AC = 4 + 4, resulting in AC = 8 units.