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 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. 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.

1 answer

The accurate representation of the distinguishing features of the terms is:

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

To clarify:

  • Postulates (or axioms) are basic assumptions accepted without proof.
  • Theorems are statements that are proven based on postulates, definitions, and previously established theorems.
  • Conjectures are statements that are proposed as true, but have not yet been proven.
  • Definitions provide precise meanings of terms and clarify concepts, but do not describe observational statements.

So the only correct choice among the responses given is about postulates.