Question

Given line segment ac is congruent to line segment fe and line segment cb is congruent to line segment ed, which statement is correct?

1) ab = fd
2) ab < fd
3) ab > fd
4) ab ≤ fd

Answer 1

After comparing the relationships between line segments AC and FE, as well as CB and ED, we can conclude that line segments AB and FD are equal, so the answer is AB = FD.

Step-by-step explanation:

To solve this problem, we have to look at the relationships between the line segments given. If line segment AC is congruent to line segment FE and line segment CB is congruent to line segment ED, then we can write the following equations:

AC = FE and CB = ED

Now let's consider the whole line segments AB and FD which are made of two parts each:

AB = AC + CB

FD = FE + ED

Since AC = FE and CB = ED (congruent segments), then AB should also be equal to FD:

AB = FE + ED = FD

Therefore, the correct statement would be:

1) AB = FD