Can someone please help ?

Tthe options that can be used as a reason in a two-column proof are:

a. a premise

b. a definition

d. a postulate

In a two-column proof, each step or statement in the proof is accompanied by a reason to justify why that step is valid. The reasons are typically based on established mathematical principles, and the choices for reasons often include premises, definitions, postulates, and previously proven theorems. Let's delve into each of these options in more detail:

Premise (a): A premise is a statement or fact that is given to you as true. It serves as a foundational piece of information on which your proof is built. For example, if you're working with a geometry proof, you might be given the premise that two angles are congruent.

Definition (b): Definitions provide the meanings of mathematical terms and concepts. You can use definitions as reasons to clarify the meaning of specific terms or properties used in your proof. For instance, you might use the definition of a right angle to justify a particular statement in a proof.

Conjecture (c): Conjectures are unproven statements or hypotheses. They are not typically used as reasons in a proof because they lack the mathematical rigor and certainty required in a proof. However, conjectures can serve as a starting point for exploring and formulating proofs.

Postulate (d): Postulates (or axioms) are fundamental statements or principles in mathematics that are accepted as true without proof. Postulates are often used as reasons in geometric proofs to justify certain statements or relationships, such as the postulate that states two points determine a unique line.

for such more question on two-column proof

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