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# Two-Column Proofs

## Geometric proofs are among the building blocks of math. Learn how to use two column proofs to assert and prove the validity of a statement.

Levels are CK-12's student achievement levels.
Basic Students matched to this level have a partial mastery of prerequisite knowledge and skills fundamental for proficient work.
At Grade (Proficient) Students matched to this level have demonstrated competency over challenging subject matter, including subject matter knowledge, application of such knowledge to real-world situations, and analytical skills appropriate to subject matter.
Advanced Students matched to this level are ready for material that requires superior performance and mastery.
• Video

## Two Column Proofs Examples

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This video shows how to work step-by-step through one or more of the examples in Two Column Proofs.

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• Video

## Two Column Proofs Principles

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This video gives more detail about the mathematical principles presented in Two Column Proofs.

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• Practice
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## Two-Column Proofs Practice

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• Critical Thinking

## Two-Column Proofs Discussion Questions

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A list of student-submitted discussion questions for Two-Column Proofs.

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## Two-Column Proofs Pre Read

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To use prior knowledge of root words to learn new vocabulary words using Etymology.

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## Two-Column Proofs Post Read

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To stress understanding of a concept by summarizing the main idea and applying that understanding to create visual aids and generate questions and comments using a Concept Matrix.

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## Two-Column Proofs PreRead

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To activate prior knowledge, make personal connections, reflect on key concepts, encourage critical thinking, and assess student knowledge on the topic prior to reading using a Quickwrite.

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## Two-Column Proofs PostRead

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To organize ideas, increase comprehension, synthesize learning, demonstrate understanding of key concepts, and reinforce vocabulary using a Quickwrite.

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• Real World Application

## Give Me One Reason

by CK-12 //at grade

You can use fact-based reasons to strengthen your arguments and build convincing statements.

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• Study Guide

## Proofs Study Guide

by CK-12 //at grade

This study guide reviews proofs: algebraic proof, properties of congruence, and geometric proofs (two-column).

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