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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

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.
04
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.
07
Then show that this assumption leads to a contradiction or an impossible situation.
08
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?
01
Mathematicians, scientists, and researchers often use proofs to establish the validity of their hypotheses or theories.
02
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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What is 3 styles of proofs?
3 styles of proofs refer to direct proof, indirect proof, and proof by contradiction.
Who is required to file 3 styles of proofs?
Mathematics students are typically required to demonstrate proficiency in 3 styles of proofs.
How to fill out 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.
What is the purpose of 3 styles of proofs?
The purpose of 3 styles of proofs is to establish the validity of mathematical statements through rigorous logical reasoning.
What information must be reported on 3 styles of proofs?
3 styles of proofs require clear statements of claims, logical reasoning, and conclusions that logically follow from the evidence provided.
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