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

A conjecture tells you what a term means or what to do with a concept.

Answer 1

The correct distinguishing feature from the provided choices is:

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

Here’s a brief overview of the other terms for clarity:

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

• Definition: A definition describes a term or concept and provides a precise meaning or understanding of what that term or concept entails. It does not need to be proven but is accepted as a basis for discussion.

• Conjecture: A conjecture is an unproven statement or hypothesis that is based on observations. It is a guess or proposition that may be true but requires evidence or a proof to be validated.

So, the rest of the options regarding theorems, definitions, and conjectures are inaccurate as described.