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? %C2%A0(1 point) Responses A definition is a statement that is made based on observations that must be proven true.%C2%A0 A definition is a statement that is made based on observations that must be proven true.%C2%A0 A postulate is assumed to be true, and it does not have to be proven.%C2%A0 A postulate is assumed to be true, and it does not have to be proven.%C2%A0 A theorem is assumed to be true, and it does not have to be proven.%C2%A0 A theorem is assumed to be true, and it does not have to be proven.%C2%A0 A conjecture tells you what a term means or what to do with a concept.

Answer 1

The correct distinguishing feature for the terms provided is:

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

Here’s a brief explanation of each term to clarify:

• Definition: It explains what a term means, providing clarity and understanding about a concept.

• Postulate (or axiom): A statement that is accepted without proof; it serves as a foundation for further reasoning and arguments.

• Theorem: A statement that has been proven true based on postulates, definitions, and previously established theorems.

• Conjecture: An unproven statement or hypothesis that is based on observations. It may suggest a potential truth but has not yet been established as a theorem.

So, the mentioned statement about postulates is the distinguishing feature that accurately represents the term.