What can be used as a reason in a two-column proof? Select each correct answer. a premise a conjecture a postulate a definition

Respuesta :

Answer:

a conjecture, a postulate, and a definition

Step-by-step explanation:

A premise is an assumption something is true.  When completing a proof, we must use already established truths to get us from one step to another; these can be theorems, postulates, conjectures, or definitions.  However, premises themselves cannot be used to prove something.

A definition and a theorem can be used as a reason in a two-column proof.

Further explanation:

Given:

The options are as follows,

(a). A true premise

(b). A conjecture

(c). A definition

(d). A theorem

Explanation:

True premise is an assumption about something is true. It is not proved.

Conjecture is a statement that has not been proved.

Definition is a statement which tells us the meaning of the word.

Theorem is a statement that has been proved.

A definition and a theorem can be used as a reason in a two-column proof.

Conjecture and true premise cannot be used as a reason in a two-column proof as they are not proved.

Option (a) is not correct as a true premise cannot be used as reason in two-column proof.

Option (b) is not correct as a conjecture cannot be used as reason in two-column proof.

Option (c) is correct can be used as a reason in a two-column proof.

Option (d) is correct can be used as a reason in a two-column proof.

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Answer details:

Grade: High School

Subject: Mathematics

Chapter: Simple interest

Keywords: two-column proof, a true premise, a conjecture, a definition, a theorem, correct answer, reason.