Question

unit 2 geometry basics > lesson 3 constructing segments
a c b
g
aimee constructed $overleftrightarrow{gf}$, a line segment bisector of $overline{ab}$, which passes through point c. if $ab = 4$ units, what is $ac$?
(1 point)

Explanation:

Step1: Recall segment bisector definition

A segment bisector divides a segment into two equal parts. So, \( AC = CB \) and \( AC + CB = AB \).

Step2: Substitute and solve for \( AC \)

Given \( AB = 4 \) units, and \( AC = \frac{AB}{2} \) (since \( C \) bisects \( AB \)).
\[ AC = \frac{4}{2} = 2 \]

Answer:

2 units