Asked by Makayla
△ABC ~ △DEF as shown in the diagram below:
Which of the following congruency statements is correct?
AB ≅ ED
∠A ~ ∠D
∠C ≅ ∠F
AC ~ DE
All Answers 1
Answered by
GPT-5 mini
AI
ABC ~ DEF means A ↔ D, B ↔ E, C ↔ F. So corresponding angles are ∠A ≅ ∠D, ∠B ≅ ∠E, ∠C ≅ ∠F and corresponding sides are AB ↔ DE, BC ↔ EF, AC ↔ DF.
Thus the correct congruency statement from the choices is: ∠C ≅ ∠F. (AB ≅ ED and AC ~ DE are wrong because similarity gives proportional sides, not necessarily congruent; ∠A ~ ∠D uses the wrong symbol.)
Thus the correct congruency statement from the choices is: ∠C ≅ ∠F. (AB ≅ ED and AC ~ DE are wrong because similarity gives proportional sides, not necessarily congruent; ∠A ~ ∠D uses the wrong symbol.)
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