what property justifys the conclusion
If SZ is congruent to CS+CZ and CZ is congruent to CH+HZ then SZ is congruent to CS +(CH+HZ)
The property that justifies this conclusion is the transitive property of congruence.
After we prove that a theorem is true, it becomes a definition
true or false
False.
A theorem and a definition are two different things. A theorem is a statement that has been proven to be true based on evidence and logical reasoning, whereas a definition is a statement that describes the meaning of a term or concept. Once a theorem is proven, it remains a theorem and never becomes a definition. However, a definition can be used as a basis for proving a theorem.