Question

if ab ≅ cd and cd ≅ ef, then ab ≅ ef. segment addition postulate definition of congruence transitive property of congruence symmetric property of congruence

Explanation:

The Transitive Property of Congruence states that if one segment is congruent to a second segment and the second segment is congruent to a third segment, then the first segment is congruent to the third segment. In the given statement, \(AB\cong CD\) and \(CD\cong EF\) implies \(AB\cong EF\), which directly follows the Transitive Property of Congruence. The Segment Addition Postulate is about adding segments on a line, the Definition of Congruence is about having equal measures, and the Symmetric Property of Congruence is about reversing the congruence statement (\(AB\cong CD\) implies \(CD\cong AB\)).

Answer:

Transitive Property of Congruence.