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QUESTION IMAGE

select all of the congruent parts based on the sss image. ac ≅ ef ab ≅ …

Question

select all of the congruent parts based on the sss image.
ac ≅ ef
ab ≅ df
bc ≅ de
bc ≅ ef
ac ≅ df

Explanation:

Step1: Recall SSS (Side - Side - Side) congruence

SSS states that if three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.

Step2: Analyze each option

  • For \(AC\cong EF\): Not part of SSS correspondence.
  • For \(AB\cong DF\): Not part of SSS correspondence.
  • For \(BC\cong DE\): Not part of SSS correspondence.
  • For \(BC\cong EF\): Not part of SSS correspondence.
  • For \(AC\cong DF\): In SSS, if two triangles have all three sides equal, and if we assume the correct correspondence of sides, \(AC\cong DF\) can be a part of SSS congruent parts.

Answer:

\(AC\cong DF\)