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

1 answer

The correct distinguishing feature from the options provided is:

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

To clarify the other options:

  • A conjecture is a statement that is believed to be true based on observations but has not yet been proven.
  • A theorem is a statement that has been proven to be true through rigorous logical reasoning based on previously established statements such as postulates and other theorems.
  • A definition explains the meaning of a term or a concept and does not necessarily involve proof or observation.

So, the only accurate statement in your options is that a postulate is assumed to be true and does not require proof.