Question

Which of the following may be used as reasons in a two-column proof? Select all that apply.

Answer 1

In a two-column proof, the reasons provided support each statement made in the proof.

Step-by-step explanation:

In a two-column proof, the reasons are used to support each statement or step in the proof. The reasons provide explanations, justifications, or evidence for each statement made in the proof. Some common types of reasons used in a two-column proof include:

• Definition: Using the definition of a geometric term to support a statement.
• Postulate: Using a postulate or axiom, which is a basic assumption in geometry, to support a statement.
• Theorem: Using a proven theorem or previously established result to support a statement.
• Property: Using a property of a geometric shape or object to support a statement.

These are some examples of reasons that can be used in a two-column proof.

Answer 2

definitions, theorems, postulates, properties, and "given"

Step-by-step explanation:

Definitions, theorems, postulates, properties, and statements that are given are all either assumed to be true or proven to be true, and can be cited in a two-column proof.

Quotes and opinions are not statements of fact, and cannot be used in proofs.