For example, segment lengths and angle measures are numbers So you can use these same properties of equality to write algebraic proofs in geometry A B AB

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

5 Angle Addition Postulate (Post 1 4) 6 MLEBA = MLCBD | 6 Transitive Property of Equality Communicate Your Answer 3 How can you prove a

2-5 When writing algebraic proofs in geometry, you can also use definitions Possible answer: The Substitution Property states that if a b, then b can

5 m∠1 + m∠2 = 5 Angle Addition Postulate (Post 1 4) 6 6 Transitive Property of Equality Communicate Your Answer 3 How can you prove a mathematical

Fill in the blanks to find the answer 2-35 Holt McDougal Geometry 4 /2= t3 U b 5 lna proof, each step in the proof is on the left and

Holt Geometry All rights reserved Fill in the blanks to find the answer 2-5 Practice A Algebraic Proof A Addition Property of Equality

2-6 Geometric Proof Write the letter of the correct justification next to each 5 In a two-column proof, each step in the proof is on the left and

2-5 Symbols Examples Properties of Equality Addition When writing algebraic proofs in geometry, you can also use definitions, postulates,

5 Plan your argument and prove your conjecture Mark the diagram and answer the questions about the following proof Given:

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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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 Assignments: Introduction to Geometry Proofs 2 3 4 5 6 4 Use the diagram at right to answer the following

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2-5 Algebraic Proof Holt Geometry Warm Up Lesson Presentation Lesson Quiz The answer will be the temperature in degrees Fahrenheit

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2 5 Proving Statements about Segments Geometry Standards/Objectives: GIVEN : AC = AB + AB PROVE : AB = BC ANSWER 1 AC = AB + AB 2 AB + BC = AC

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2-5 Reasoning in Algebra and Geometry Properties of Equality The Distributive Property Problem 1: Justifying Steps when Solving an Equation

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2 m m = 90°, 2 Definition of Complementary 3 m m = m AXC, 3 Angle Addition Postulate 4 m AXC = 90°, 4 Substitution 5

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For numbers 5 – 7, find the measure of the indicated angle and name the theorems that justify your work 5 If m∠1 = (x + 50) and m∠2 = (3x – 20) ,

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