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Section 2-4: Reasoning in Algebra

Section 2-4: Reasoning in Algebra. Goal 2.01: Use logic and deductive reasoning to draw conclusions and solve problems. Turn in Homework. Lesson Quiz 2-3. Essential Question. How are properties of equality used in Algebraic and Geometric Proofs?. Addition Property of Equality.

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Properties from Algebra

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WARM UP Please pick up the worksheet on the cart and complete the 2 proofs.

WARM UP Please pick up the worksheet on the cart and complete the 2 proofs. Given: Prove: x = 10. Statements. Reasons. 1. __________ 1. ___________ 2. __________ 2. ___________ 3. __________ 3. ___________ 4. __________ 4. ___________. Given. Substitution.

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Section 2-3

Section 2-3. Proving theorems Midpoint theorem Angle bisector theorem. Define: deductive reasoning. Deductive reasoning- proving statements by reasoning from accepted postulates definitions theorems, and the given information. Reasons Used in Proofs. Given information Definitions

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EXAMPLE 3

Prove this property of midpoints: If you know that M is the midpoint of AB ,prove that AB is two times AM and AM is one half of AB. GIVEN:. M is the midpoint of AB. a. AB = 2 AM. PROVE:. AM = AB. b. 1. 2. EXAMPLE 3. Use properties of equality. STATEMENT. REASONS. 1. 1.

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