Question

diagram: line segment with points e, f, g (e---f---g). statements and reasons table: 1. $overline{ab} cong overline{bc}$ | 1. given; 2. $overline{bc} cong overline{ef}$ | 2. given; 3. $overline{ab} cong overline{ef}$ | 3. transitive prop.; 4. $ab = ef$ | 4. def. of $cong$ segs; 5. $eg = ef + fg$ | 5. seg. addition; 6. $eg = ab + fg$ | 6. substitution. multiple - choice options: ○ it is part of the given information. ○ it is part of the given information. ○ it is part of the argument. ○ it is the conclusion. ○ it is an assumption.

Explanation:

Looking at the proof structure, the statements and reasons build an argument. The step with "seg. addition" (statement 5: \( EG = EF + FG \)) is part of the logical argument to reach the conclusion. It's not given info (given are 1,2), not the final conclusion (which would be 6), and not an assumption (assumptions are like given or unstated, but this is a theorem - based step). So it's part of the argument.

Answer:

It is part of the argument.