Question

Understanding Parts of Proofs

Describe the main parts of a proof.
Sample Response: Proofs contain given information given information and a statement to be proven. You use deductive reasoning to create an argument with justification of steps using theorems, postulates, and definitions. Then you arrive at a conclusion.

What did you include in your response?
Check all that apply.
a. given information
b. statement to be proven
c. argument with justification using theorems, definitions, and axioms
d. conclusion

Answer 1

The main parts of a proof include given information, statement to be proven, argument with justification using theorems, definitions, and axioms, and conclusion. All of the above options are correct.

Step-by-step explanation:

The main parts of a proof include:

• Given information: This is the information that is provided at the start of the proof.
• Statement to be proven: This is the claim or proposition that the proof is trying to demonstrate.
• Argument with justification using theorems, definitions, and axioms: This is the step-by-step reasoning used to support the statement. For example: If we are trying to prove that the sum of two even numbers is always even, we would use the definition of even numbers and properties of addition.
• Conclusion: This is the final result or outcome of the proof that confirms the truth of the statement.