What can be used as a reason in a two-column proof?

Select each correct answer.

a true premise

a conjecture

a definition

a theorem

Respuesta :

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


Explanation:-

A two column proof is assembled into statement and reason columns, where each statement should have verified reason. The reason in a two column proof are usually given information, vocabulary definitions, postulates and previously proved theorems.

Therefore, from the given options a definition and a theorem can be used as a reason in a two-column proof.

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.

Learn more:

1. Learn more about inverse of the function https://brainly.com/question/1632445.

2. Learn more about equation of circle brainly.com/question/1506955.

3. Learn more about range and domain of the function https://brainly.com/question/3412497

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.