Question

List the six parts in order, for the format of a two-column proof ____________.

A) Statements, Reasons, Conclusions, Assumptions, Theorems, Corollaries
B) Hypotheses, Conclusions, Proofs, Explanations, Definitions, Axioms
C) Given, Prove, Statements, Reasons, Conclusions, Diagrams
D) Givens, Proofs, Statements, Theorems, Diagrams, Conclusions

Answer 1

The six parts of a two-column proof in the correct order are Given, Prove, Statements, Reasons, Conclusions, and Diagrams. Option c is the correct answer.

Step-by-step explanation:

The correct format for a two-column proof in mathematics consists of six main parts. These parts should be listed in the following order within the proof:

1. Given: This is the starting point of the proof, where you clearly state the assumptions or the information provided.
2. Prove: Here, you state what you are trying to demonstrate with your proof, typically a theorem or a geometric property.
3. Statements: These are the individual steps or claims made in the course of the proof. Each statement moves you closer to the conclusion.
4. Reasons: For each statement made, a corresponding reason is provided. These can be axioms, definitions, postulates, or previously proven theorems.
5. Conclusions: This is the final step, where you summarize the findings of your proof, showing that you have proven what was required.
6. Diagrams: Often proofs, especially in geometry, are accompanied by diagrams that visually represent the problem and assist in the reasoning process.

In summary, option C) Given, Prove, Statements, Reasons, Conclusions, Diagrams is the correct format for the six parts of a two-column proof.