Final answer:
The correct statement is C - Angle N is congruent to Angle F because in congruent triangles, corresponding angles are congruent, and angle N corresponds to angle F.
Step-by-step explanation:
When two triangles are congruent, corresponding parts of the triangles are congruent as well. This includes both sides and angles. So, if △DEF is congruent to △LMN, then every corresponding side and angle must be congruent. Therefore, the correct congruence statement would be:
- Angle D is congruent to Angle L
- Angle E is congruent to Angle M
- Angle F is congruent to Angle N
- Side DE is congruent to Side LM
- Side EF is congruent to Side MN
- Side DF is congruent to Side LN
Based on the options provided:
- A. DE congruent to LN is incorrect because DE corresponds to LM.
- B. FE congruent to NL is incorrect because FE corresponds to MN and also the sides should be listed in the corresponding order.
- C. Angle N congruent to Angle F is correct, because when two triangles are congruent, their corresponding angles are congruent, and N is the third vertex in the second triangle corresponding to F in the first triangle.