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 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.

Answer 1

The accurate representation of each term's distinguishing feature is as follows:

• A postulate is assumed to be true, and it does not have to be proven. (This statement is correct).
• A theorem is a statement that is made based on observations that must be proven true. (This is not correct; a theorem is a statement that has been proven based on previously established statements).
• A definition tells you what a term means or what to do with a concept. (This is correct).
• A conjecture is a statement that is made based on observations that must be proven true. (This is partly correct; a conjecture is an unproven statement based on observation, and it needs to be proven).

Given the options provided, the correct distinguishing feature corresponds to:

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