Question

step 1 2 statement
(overline{ab} cong overline{bc})
(e) is the midpoint of (overline{ac})
(overline{ae} cong overline{ec})
reason
given
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reflexive property
transitive property
substitution
corresponding parts of congruent triangles are congruent

Explanation:

Step1: Recall the definition of a midpoint

A midpoint of a line segment divides the segment into two congruent segments.
Since \(E\) is the midpoint of \(\overline{AC}\), by the definition of a midpoint, \(\overline{AE}\cong\overline{EC}\)

Answer:

Definition of a midpoint.