Question

If DEF and MNO are two triangles such that DE=MN and EF=NO, which of the following would be sufficient to prove that triangles are congruent

Answer 1

D. ∠E ≅ ∠N

Explanation:

The pair of sides meet at vertex E in ∆DEF and at vertex N in ∆MNO. Since the sides that make up angles E and N are shown congruent, it is sufficient to show ...

∠E ≅ ∠N

Then the SAS congruence postulate can be claimed.

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Additional comment

The alternative is to show DF ≅ MO. That would allow you to claim SSS congruence. That is not an answer choice.