QUESTION IMAGE
Question
- $overline{ab} cong overline{bc}$
- $overline{bc} cong overline{ef}$
- $overline{ab} cong overline{ef}$
- $ab = ef$
- $eg = ef + fg$
- $eg = ab + fg$
statements
- given
- given
- transitive prop.
- def. of $cong$ segs.
- seg. addition
- 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.
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.
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It is part of the argument.