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question 6, 12.2.b - 6. given △ with congruent parts as marked, what el…

Question

question 6, 12.2.b - 6. given △ with congruent parts as marked, what else is needed to show congruence? if ab ≅ then there is congruence by asa. alternatively, to use aas either of the conditions bc ≅ ec or ac ≅ dc is needed.

Explanation:

Step1: Recall ASA congruence criterion

ASA (Angle - Side - Angle) requires two pairs of congruent angles and the included side congruent.

Step2: Analyze the given

We need to find the side that, along with the marked congruent parts (angles), will satisfy ASA. If $\overline{AB}\cong\overline{DE}$, then there is congruence by ASA.

Answer:

$\overline{DE}$