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What would be the answer

What would be the answer-example-1
User Sharona
by
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2 Answers

2 votes

Answer:


\overline{AB} \cong \overline{DE}

Explanation:

Under the AAS postulate, two triangles are congruent if any two angles and a non-included side are congruent in both. Therefore, if
\angle{B} \cong \angle{E} and
\angle{C} \cong \angle{F}, then
\overline{AB} would need to be congruent to
\overline{DE} to prove that the two triangles are congruent. The other solution would be
\overline{AC} \cong \overline{DF}, but that is not an answer choice.

User Shailesh Mishra
by
7.7k points
6 votes

Answer:

Third option

Explanation:

Congruency by the AAS postulate

If 2 angles and a non- included side of one triangle are congruent to 2 angles and a non- included side of another triangle then the triangles are congruent.

Here ∠ABC ≅ ∠DEF and ∠ACB ≅ ∠DFE

The non- included side is AB ≅ DE

User Tea Curran
by
8.7k points

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