Question

Postulates, definitions, conjectures, and theorems each have distinguishing features that help identify them. Which of the following answer choices accurately represents the term’s distinguishing feature? (1 point) Responses A definition is a statement that is made based on observations that must be proven true. A definition is a statement that is made based on observations that must be proven true. A theorem is assumed to be true, and it does not have to be proven. A theorem is assumed to be true, and it does not have to be proven. A postulate is assumed to be true, and it does not have to be proven. A postulate is assumed to be true, and it does not have to be proven. A conjecture tells you what a term means or what to do with a concept.

Answer 1

The accurate representation of the distinguishing features of the terms is:

- A postulate is assumed to be true, and it does not have to be proven.

The other statements are incorrect or misleading:

- A definition is a statement that explains the meaning of a term, not based on observations or needing proof.
- A theorem is a statement that has been proven to be true based on previously established statements, such as postulates or other theorems.
- A conjecture is an unproven statement or hypothesis based on observations, not a definition.

So, the correct identification is: **A postulate is assumed to be true, and it does not have to be proven.**