Two-Column Proofs

Front

What is a Two-Column Proof?

Back

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.

Front

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.

Tags

CCSS.8.G.A.5

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What does SAS stand for in geometry?

Back

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.

Tags

CCSS.HSG.SRT.B.5

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What does ASA stand for in geometry?

Back

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.

Tags

CCSS.HSG.SRT.B.5

Front

What does SSS stand for in geometry?

Back

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.

Tags

CCSS.HSG.SRT.B.5

Front

What does AAS stand for in geometry?

Back

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.

Tags

CCSS.HSG.SRT.B.5