Question

Which of the following is the transitive property of congruent segments?

• A. If $segAB\cong segCD$ and $segCD\cong segEF$, then $segAB\cong segEF$
• B. If $segAB\cong segCD$, then $segAB\cong segAB$
• C. If $segAB\cong segCD$, then $segCD\cong segAB$
• D. $segAB\cong segAB$

Answer 1

The correct option is A If $segAB\cong segCD$ and $segCD\cong segEF$, then $segAB\cong segEF$

The following are the properties of congruent segments:

(i) Reflexivity: $segAB\cong segAB$

(ii) Symmetry: If $segAB\cong segCD$, then $segCD\cong segAB$

(iii) Transitivity: If $segAB\cong segCD$ and $segCD\cong segEF$, then $segAB\cong segEF$