Question

13 \\(\overline{ce} \cong \overline{ce}\\) reflexive property
14 \\(\overline{ae} \cong \overline{ae}\\) reflexive property
15 \\(\angle eab \cong \angle eab\\) reflexive property
try \\(\overline{ae} \cong \overline{ae}\\) \\(\times\\) reflexive property
notice
these sides have already been proven to be congruent.
ok

Explanation:

Step1: Identify the Repetition

We see that step 14 already has \(\overline{AE}\cong\overline{AE}\) with the Reflexive Property. So step 15 (or the 'try' step) repeating \(\overline{AE}\cong\overline{AE}\) is redundant.

Step2: Determine the Fix

Look at the diagram (lower triangle \(DCE\) has marked sides/angles: two sides with one mark, one side with three marks, and two angles marked). We should use a different congruent side or angle. For example, if we are proving triangle congruence, we might use a side like \(\overline{DC}\) (if it's congruent to another side) or an angle like \(\angle D\cong\angle C\) (if marked congruent) or another side/angle from the relevant triangles (e.g., related to triangle \(EAB\) or \(DCE\)) that hasn't been used yet.

Answer:

The error is that \(\overline{AE}\cong\overline{AE}\) was already used in step 14, so we should use a different congruent pair (e.g., a side or angle not yet used) instead of repeating this. To fix it, we need to identify another congruent element (side or angle) from the diagram or given information that applies to the proof context (e.g., if there are other marked sides/angles in the triangle, like using a side or angle related to the other triangles in the diagram, such as a side from triangle \(DCE\) or angle related to the marked congruences in the lower triangle \(DCE\) with markings on sides and angles).