Two-Column Proofs

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What is a Two-Column Proof?

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A Two-Column Proof is a method of organizing a logical argument in geometry, where statements and reasons are listed in two columns to demonstrate the validity of a geometric statement.

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What is the purpose of a Two-Column Proof?

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The purpose of a Two-Column Proof is to provide a clear and structured way to show that a certain geometric statement is true based on given information and established theorems.

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What does 'Given' mean in a Two-Column Proof?

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'Given' refers to the information that is provided in the problem statement, which serves as the starting point for the proof.

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What does 'Prove' mean in a Two-Column Proof?

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'Prove' indicates what needs to be demonstrated or established as true based on the given information and logical reasoning.

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What is a statement in a Two-Column Proof?

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A statement is a declarative sentence that asserts a fact or conclusion in the proof, such as '∠ABC ≅ ∠EDC'.

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What is a reason in a Two-Column Proof?

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A reason is the justification for why a statement is true, often based on definitions, postulates, or previously proven theorems.

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What does SAS stand for in geometry?

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SAS stands for Side-Angle-Side, a postulate that states if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, the triangles are congruent.

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What does ASA stand for in geometry?

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ASA stands for Angle-Side-Angle, a postulate that states if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, the triangles are congruent.

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What does SSS stand for in geometry?

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SSS stands for Side-Side-Side, a postulate that states if three sides of one triangle are congruent to three sides of another triangle, the triangles are congruent.

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What does AAS stand for in geometry?

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AAS stands for Angle-Angle-Side, a theorem that states if two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle, the triangles are congruent.