'Substitution property' diaporamas de présentation

Algebra I Commandments

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Chapter 2 Deductive Reasoning

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CHAPTER 2 TEST REVIEW

CHAPTER 2 TEST REVIEW. Segment Bisectors:. The midpoint of a segment is the point on the segment that divides it into two congruent segments. A segment bisector is a segment, ray, line, or plane that intersects a segment at Its midpoint.

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FSM Decomposition using Partitions on States

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Math 2 Geometry Based on Elementary Geometry , 3 rd ed, by Alexander & Koeberlein

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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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Proofs!!!

Proofs!!!. Ok just little ones :). Properties of Equality. Addition Property (APOE) If a = b, then a + c = b + c Subtraction Property (SPOE) If a = b, then a - c = b - c Multiplication Property (MPOE) If a = b, then a * c = b * c Division Property (DPOE) If a = b and c ? 0, then.

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4.5 Segment and Angle Proofs

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Graphing Linear Equations

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Warm Up

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Solving Multi-Step Equations

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2.7: Substitution and Transitive Property 2.8 Vertical Angles

I can apply the transitive properties of angles & segments . I can apply the substitution property. I can recognize vertical angles. 2.7: Substitution and Transitive Property 2.8 Vertical Angles. Day 1. Substitution. Equal quantities may replace each other. Substitute x = 14 into

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WARM UP

WARM UP. G. F. E. 4. 3. Given : BG bisects <ABF CE bisects < FCD Prove:. 2. 1. A. B. C. D. THE ANSWER!!. Advanced Geometry Section 2.7. Transitive and Substitution Properties. Objective.

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Geometry 2.5 Big Idea: Reason Using Properties from Algebra

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Algebraic Proof

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Warm Up

Warm Up. Warm Up Answers. Theorem and Proof. A theorem is a statement or conjecture that has been shown to be true. Theorems can be used like a definition or postulate to justify other statements are true.

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EXAMPLE 4

You are designing a logo to sell daffodils. Use the information given. Determine whether m EBA = m DBC . Equation. Explanation. Reason. m ? 1 = m ? 3. m EBA = m 3+ m 2. m EBA = m 1+ m 2. Substitute m 1 for m 3 . EXAMPLE 4. Use properties of equality.

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EXAMPLE 1

Write a two-column proof for the situation in Example 4 on page 107 . m ? 1 = m ? 3. GIVEN:. m ? EBA = m ? DBC. PROVE:. REASONS. STATEMENT . 1. 1. m ? 1 = m ? 3. Given. 2. Angle Addition Postulate. 2. m ? EBA = m ? 3 + m ? 2. 3.

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EXAMPLE 1

Write a two-column proof for the situation in Example 4 on page 107. m ? 1 = m ? 3. GIVEN:. m ? EBA = m ? DBC. PROVE:. REASONS. STATEMENT. 1. 1. m ? 1 = m ? 3. Given. 2. Angle Addition Postulate. 2. m ? EBA = m ? 3 + m ? 2. 3.

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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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