Division Property of Equality Page 9 Holt McDougal Geometry 2-5 Algebraic Proof Check It Out! Example 1 t = –14 Simplify Solve the equation Write a

5 m∠1 + m∠2 = 5 Angle Addition Postulate (Post 1 4) In a two-column proof, each statement in the left-hand column is either given

2 EXPLORATION: Writing Steps in a Proof Work with a partner Six steps of a proof 5 Substitution property of Equality 58 Geometry Student Journal

Holt Geometry All rights reserved Name Date Class LESSON Reteach Algebraic Proof continued 2-5 When writing algebraic proofs in geometry,

2-5 Algebraic Proof Going Deeper Essential question: What kinds of justifications can you use in writing algebraic and geometric proofs? Video Tutor

Algebra and Geometry Proof Examples Example 1 Verify Algebraic Relationships Example 2 Write a Two-Column Proof 5 6x = 48 5 Substitution

2 Prove geometric theorems by using deductive reasoning Choices for Reasons in Proofs 5 If m∠CBD = 90°, then ∠CBD is a right angle

5 Definition of congruent angles -m23 Six steps of a two-column proof are 2 Definition of Angles Write a two column proof Given MP bisects ZLMN

28 août 2011 · A proof is an argument that uses logic, definitions, properties, and previously proven statements to show that a conclusion is true

5 Write a two-column proof Given M is the midpoint of RT Prove MT RS

Example 2: Real-World Example: Write an Algebraic Proof Example 3: Write a Geometric Proof Over Lesson 2–5 A; B; C; D 5-Minute Check 1

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5 If M is the midpoint of , AM = x2 + 24 and MB = 10x, find the length of 6 bisects at Q PQ = 4x + 12, Geometry Homework: Intro Geo Proofs - 2

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2 5 Proving Statements about Segments Geometry Standards/Objectives: AM + AM = AB 5 Substitution Property of Equality PROVE: a AB = 2 AM

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Geometry 2 5/2 6 Introduction to Proofs Name: 2 2 3 3 Definition of Congruence 4 4 Segment Addition Postulate 5 5

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Holt McDougal Geometry 2-5 Algebraic Proof Review properties of equality and use them to write algebraic proofs Objectives Holt McDougal Geometry 2-5

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Geometry Lesson 2 – 6 Algebraic Proof Objective: Use algebra to write two-column proofs Use properties of equality to write geometric proofs

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Holt McDougal Geometry 2-5 Algebraic Proof Review properties of equality and use them to write algebraic proofs Identify properties of equality and

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2-5 Algebraic Proof Holt Geometry Warm Up Lesson Presentation Lesson Quiz Holt McDougal Geometry CC 9-12 A REI 1, G CO 9-11 Holt McDougal Geometry

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SWBAT use algebra to write two column proofs 2 SWBAT use properties of equality to write geometric proofs 2(5 – 3a) – 4(a + 7) = 92 Original equation

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Proof: Transitive Property of Congruence Example 2: Real-World Example: Proof Using Segment Congruence Over Lesson 2–6 5-Minute Check 1

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Geometry theorems and proofs

2 5 Proving Statements about Segments and Angles Answer key

Segment and Angle Proofs Worksheet

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Segment and Angle Proofs Worksheet Answer Key

Geometry proof Worksheet 2 answer key

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