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)

Question

Responses

A conjecture tells you what a term means or what to do with a concept.
A conjecture tells you what a term means or what to do with a concept.

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 definition is a statement that is made based on observations that must be proven true.

Answer 1

The accurate representation of each term’s distinguishing feature is:

• A conjecture is a statement that is proposed based on observations but has not yet been proven true.
• A theorem is a statement that has been proven to be true based on axioms and previously established theorems.
• A postulate (or axiom) is a statement that is assumed to be true without requiring proof.
• A definition explains the meaning of a term or concept.

Based on the options given, the correct choice would be:

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

This is the distinguishing feature of a postulate, while the other statements do not correctly represent their respective terms.