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Geometry Guided Notes Styles of ProofsName: Date: Period: 3 Styles of Proofs 1. Column Proof a. b. 2. Flow Proof a. b. 3. Paragraph Proof a. b. New Theorems Theorem: If two lines are perpendicular,
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How to fill out 3 styles of proofs

01
For direct proofs, start by stating the given information or assumptions.
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Then state what needs to be proven.
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Next, provide step-by-step logical reasoning or calculations to reach the desired conclusion.
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Finally, conclude the proof by restating the original statement or by providing a clear and concise summary of the proof.
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For indirect proofs, start by assuming the opposite of what you want to prove.
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Then show that this assumption leads to a contradiction or an impossible situation.
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Therefore, the opposite of the assumption must be true, which proves the original statement.
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For proof by cases, start by identifying the different cases or scenarios.
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Then, prove each case individually using the direct or indirect proof methods.
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Finally, conclude the proof by considering all the cases and explaining how they collectively prove the original statement.

Who needs 3 styles of proofs?

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Mathematicians, scientists, and researchers often use proofs to establish the validity of their hypotheses or theories.
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Students studying mathematics or other logical disciplines also need to understand and apply different proof techniques.
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Additionally, professionals in fields such as computer science, engineering, and economics may use proofs to ensure the correctness of algorithms, systems, or models.
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Overall, anyone involved in logical reasoning, problem-solving, or establishing the truth of statements can benefit from knowing and using different proof styles.
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3 styles of proofs refer to direct proof, indirect proof, and proof by contradiction.
Mathematics students are typically required to demonstrate proficiency in 3 styles of proofs.
To fill out 3 styles of proofs, one must clearly state the claim, provide evidence or reasoning, and draw a conclusion based on logical arguments.
The purpose of 3 styles of proofs is to establish the validity of mathematical statements through rigorous logical reasoning.
3 styles of proofs require clear statements of claims, logical reasoning, and conclusions that logically follow from the evidence provided.
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