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

1 answer

The accurate representation of a term's distinguishing feature among the provided options is: A postulate is assumed to be true, and it does not have to be proven.

Here's a brief explanation of the terms for clarity:

  • Postulate: A statement accepted as true without proof, serving as a starting point for further reasoning and arguments.
  • Definition: A precise statement that explains the meaning of a term or concept.
  • Conjecture: An unproven statement based on observations or reasoning that is believed to be true.
  • Theorem: A statement that has been proven to be true based on previously established statements, such as postulates or other theorems.

So, the correct distinguishing feature corresponds to the description of a postulate.