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 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.

Answer 1

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

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

Here’s a brief clarification of the other terms:

• Theorem: A theorem is a statement that has been proven to be true based on previously established statements, such as other theorems, axioms, and postulates.

• Definition: A definition is a statement that explains the meaning of a term or concept, not something that must be proven true.

• Conjecture: A conjecture is a statement that is suspected to be true based on observation, but has not yet been proven.

Thus, the only accurate response from the options provided is regarding postulates.