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

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.

Answer 1

The accurate representation of the distinguishing feature for each term is as follows:

1. Postulate: "A postulate is assumed to be true, and it does not have to be proven." (This statement is correct.)

2. Conjecture: "A conjecture tells you what a term means or what to do with a concept." (This statement is incorrect. A conjecture is an educated guess or a statement that is believed to be true based on observations but has not yet been proven.)

3. Definition: "A definition is a statement that is made based on observations that must be proven true." (This statement is incorrect. A definition explains the meaning of a term or concept but does not require proof.)

4. Theorem: "A theorem is assumed to be true, and it does not have to be proven." (This statement is incorrect. A theorem must be proven true based on axioms, definitions, and previously established theorems.)

Therefore, the only accurate statement is the one regarding postulates:

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