Transcript Lesson 2-6A PowerPoint

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Lesson 2-1 Inductive Reasoning and Conjecture
Lesson 2-2 Logic
Lesson 2-3 Conditional Statements
Lesson 2-4 Deductive Reasoning
Lesson 2-5 Postulates and Paragraph Proofs
Lesson 2-6 Algebraic Proof
Lesson 2-7 Proving Segment Relationships
Lesson 2-8 Proving Angle Relationships
Example 1 Verify Algebraic Relationships
Example 2 Write a Two-Column Proof
Example 3 Justify Geometric Relationships
Example 4 Geometric Proof
Solve
Algebraic Steps
Properties
Original equation
Distributive Property
Substitution Property
Addition Property
Substitution Property
Division Property
Substitution Property
Answer:
Solve
Algebraic Steps
Properties
Original equation
Distributive Property
Substitution Property
Subtraction Property
Substitution Property
Division Property
Substitution Property
Answer:
Write a two-column proof. If
Proof:
then
Statements
Reasons
1.
1. Given
2.
2. Multiplication Property
3.
3. Substitution
4.
4. Subtraction Property
5.
5. Substitution
6.
6. Division Property
7.
7. Substitution
Write a two-column proof. If
Proof:
Statements
Reasons
then
1.
1. Given
2.
2. Multiplication Property
3.
3. Distributive Property
4.
4. Subtraction Property
5.
5. Substitution
6.
6. Addition Property
Write a two-column proof. If
Proof:
Statements
Reasons
then
7.
7. Substitution
8.
8. Division Property
9.
9. Substitution
Write a two-column proof for the following.
a.
Proof:
Statements
Reasons
1.
1. Given
2.
2. Multiplication Property
3.
4.
5.
3. Substitution
4. Subtraction Property
5. Substitution
6.
6. Division Property
7.
7. Substitution
Write a two-column proof for the following.
b. Given:
Prove:
Proof:
Statements
Reasons
1.
1. Given
2.
2. Multiplication Property
3.
4.
3. Distributive Property
4. Subtraction Property
5.
5. Substitution
6.
6. Subtraction Property
7.
7. Substitution
Review
State the property that justifies each
statement.
1. If 2x = 5, then x = 5/2 Division Property
2. If x/2 = 7, then x = 14 Multiplication Property
3. If x = 5 and b = 5, then x = b Substitution Prop.
4. If XY – AB = WZ – AB, then XY = WZ
Addition Property
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