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**2-5 Reasoning in Algebra and Geometry**

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**Properties of Equality**

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**The Distributive Property**

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**Problem 1: Justifying Steps when Solving an Equation**

What is the value of x? Justify each step

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**Problem 1: Justifying Steps when Solving an Equation**

What is the value of x? Justify each step

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**Properties of Congruence**

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**Problem 2: Using Properties of Equality and Congruence**

What is the name of the property of equality or congruence that justifies going from the 1st statement to the second statement?

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What is the name of the property of equality or congruence that justifies going from the 1st statement to the second statement?

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What is the name of the property of equality or congruence that justifies going from the 1st statement to the second statement?

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Proof: a convincing argument that uses deductive reasoning (shows why a conjecture is true) Two-Column Proof: lists each statement on the left and the justification or reason for each statement on the right. Each step must follow logically from the steps before it.

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**Problem 3: Writing a Two-Column Proof**

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