2-Column Proofs 1

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What is a 2-column proof?

Back

A 2-column proof is a method of proving statements in geometry where one column lists statements and the other column lists the corresponding reasons for those statements.

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What does 'given' mean in a proof?

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'Given' refers to the information that is provided in the problem statement, which is assumed to be true and used as the starting point for the proof.

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What is the reflexive property in geometry?

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The reflexive property states that any geometric figure is congruent to itself, meaning that for any segment AB, AB = AB.

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How do you identify what to prove in a proof?

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To identify what to prove, look for the conclusion or statement that needs to be established based on the given information.

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What is a statement in a 2-column proof?

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A statement is a claim or assertion made in the proof that is either a given fact or a conclusion derived from previous statements.

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What is a reason in a 2-column proof?

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A reason is the justification for why a statement is true, which can include definitions, properties, or previously proven theorems.

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What is the purpose of a 2-column proof?

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The purpose of a 2-column proof is to provide a clear and logical argument that demonstrates the truth of a geometric statement.

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What is an example of a geometric property used in proofs?

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An example of a geometric property is the Triangle Sum Theorem, which states that the sum of the angles in a triangle is always 180 degrees.

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How can you use the given information in a proof?

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You can use the given information as the foundation for your proof, applying it to derive new statements and conclusions.

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What is the significance of the conclusion in a proof?

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The conclusion is the final statement that you aim to prove, summarizing the result of the logical reasoning presented in the proof.