Question

What would be the answer

Answer 1

`\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.

Answer 2

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