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 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.

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 choice that accurately represents the term’s distinguishing feature is:

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

Here’s a brief explanation of each term for clarity:

• Definition: A definition explains the meaning of a term or concept.
• Theorem: A theorem is a statement that has been proven to be true based on previously established statements, such as other theorems or axioms.
• Postulate: A postulate (or axiom) is a statement accepted as true without proof, serving as a basis for further reasoning and arguments.
• Conjecture: A conjecture is an educated guess or hypothesis that has not yet been proven or disproven.

Given this understanding, the accurate option is the one regarding the postulate.