The information that would be sufficient to prove that both triangles are congruent by the SAS congruence theorem is: ∠E ≅ ∠N.
What is the Side-angle-side Congruence Theorem (SAS)?
When two sides and one included angle in a triangle is congruent to two corresponding sides and an included angle in another triangle, both triangles are congruent to each other by the SAS congruence theorem.
Thus:
ΔDEF and ΔMNO have:
Two pairs of congruent sides: DE ≅ MN and EF ≅ NO.
Therefore, the information that would be sufficient to prove that both triangles are congruent by the SAS congruence theorem is: ∠E ≅ ∠N.
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