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1. $overline{ab} cong overline{bc}$ 2. $overline{bc} cong overline{ef}$…

Question

  1. $overline{ab} cong overline{bc}$
  2. $overline{bc} cong overline{ef}$
  3. $overline{ab} cong overline{ef}$
  4. $ab = ef$
  5. $eg = ef + fg$
  6. $eg = ab + fg$

statements

  1. given
  2. given
  3. transitive prop.
  4. def. of $cong$ segs.
  5. seg. addition
  6. substitution

reasons
$\bigcirc$ it is part of the given information.
$\bigcirc$ it is part of the argument.
$\bigcirc$ it is the conclusion.
$\bigcirc$ it is an assumption.

Explanation:

Brief Explanations

The statement $\overline{AB} \cong \overline{EF}$ is derived using the transitive property from the given congruent segments, so it is a step within the logical chain of the proof (the argument) rather than given information, a conclusion, or an assumption.

Answer:

It is part of the argument.