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Problem : Can you prove triangle ABC congruent to triangle DEF? If so, by which method could you show their congruence?

Yes, by Hy-Leg

Problem : Can you prove triangle ABC congruent to triangle DEF? If so, by which method could you show their congruence?

No, all that is known is that the three pairs of corresponding angles of the triangles are congruent. The corresponding sides could be of different lengths.

Problem : Can you prove triangle ABC congruent to triangle DEF? If so, by which method could you show their congruence?

Yes, by AAS

Problem : Can you prove triangle ABC congruent to triangle DEF? If so, by which method could you show their congruence?

No, but triangle ABC is congruent to triangle EFD. The reason triangles ABC and DEF aren't congruent is that their parts don't correspond correctly.

Problem : Can you prove triangle ABC congruent to triangle DEF? If so, by which method could you show their congruence?

Yes, by AAS.
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