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

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

Answer 1

The correct response is:

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

This accurately represents the distinguishing feature of a postulate.

• A theorem, on the other hand, is not assumed to be true; it must be proven based on axioms and previously established theorems.
• A definition provides meaning to a term or concept but does not involve proof.
• A conjecture is a statement that is believed to be true but has not yet been proven.