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)

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 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.
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.

1 answer

The correct distinguishing feature is:

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

Here's the reasoning for the other options:

  • A conjecture is a statement believed to be true based on some evidence but has not yet been proven.

  • A definition is a precise explanation of a term or concept, outlining its meaning and necessary conditions.

  • A theorem is a statement that has been proven to be true based on previously established theorems, postulates, and definitions.

Therefore, the accurate feature among the given options is related to postulates.