1. Chapter 2 Review
Lessons 2-1 through 2-6

2. Inductive Reasoning and Conjecturing
Lesson 2-1

3. Conjecture: “Educated Guess”
Lesson 2-1
Conjecture: “Educated Guess”
Inductive Reasoning: “Looking at several specific situation to arrive at a conjecture”
Counterexample: “a false example of a conjecture”
Vocabulary:
Conjecture
Inductive Reasoning
Counterexample

4. If-Then Statements and Postulates
Lesson 2-2

5. If-then statements: Negation: (~) – “Not” Conditional statement
Lesson 2-2
If-then statements:
Conditional statement
P  Q
Hypothesis “P”
Conclusion “Q”
Converse:
Q  P
Negation: (~) – “Not”
Inverse:
~P  ~Q
Contrapositive:
~Q  ~P
Vocabulary:
If-then statements
Conditional statements
Hypothesis “P”
Conclusion “Q”
Converse
Negation
Inverse
Contrapositive
Venn Diagram

6. Lesson 2-2 Conditional: Converse: Inverse: Contrapositive:
If you drive a fast car, then you drive a red car.
Converse:
If you drive a red car, then you drive a fast car.
Inverse:
If you don’t drive a fast car, then you don’t drive a red car.
Contrapositive:
If you don’t drive a red car, then you don’t drive a fast car.

7. Lesson 2-2 Postulate 2-1: Postulate 2-2: Postulate 2-3: Postulate 2-4:
Through any two points, there is exactly one line.
Postulate 2-2:
Through any three points not on the same line there is exactly one plane.
Postulate 2-3:
A line contains at least two points.
Postulate 2-4:
A plane contains at least three points not on the same line.
Postulate 2-5:
If two points lie in a plane, then the entire line containing those points lies in that plane.
Postulate 2-6:
If two planes intersect, then their intersection is a line.

8. Deductive Reasoning
Lesson 2-3

9. Law of Detachment Law of Syllogism No Conclusion:
Lesson 2-3
Law of Detachment
If P  Q and “P” exists, then “Q” exists
Law of Syllogism
If P  Q and Q  R, then P  R
No Conclusion:
If neither Law of Detachment nor Law of syllogism can be utilized then no conclusion can be met
Vocabulary:
Looking for a pattern
Law of Detachment
Deductive Reasoning
Law of Syllogism

10. Lesson 2-3 Law of Detachment Law of Syllogism
If you have a car, then you can drive
Jason has a car
Conclusion: Jason can drive
Law of Syllogism
If you have drive too much, then you will run out of gas
If you run out of gas, then you will have to ask your parents for money
Conclusion: If you drive too much, then you will have to ask your parents for money

11. Using Proof in Algebra
Lesson 2-4

12. Reflexive property of equality Symmetric property of equality
Lesson 2-4
Reflexive property of equality
a = a
Symmetric property of equality
If a = b, then b = a
Addition and Subtraction property of equality
If a = b, then a + c = b + c
If a = b, then a – c = b - c
Multiplication and Division property of equality
If a = b, then a * c = b * c
If a = b, then a / c = b / c
Substitution property of equality
a = b, then a may be replaced by b in any equation or expression
Distributive property of equality
a(b + c) = ab + ac
Vocabulary:
Reflexive property of equality
Symmetric property of equality
Addition and Subtraction property of equality
Multiplication and Division property of equality
Substitution property of equality
Distributive property of equality

13. Lesson 2-4 Two Column Proof
Statement (What) a) b) c) d) e) f) Proof
Reason (Why) a) GIVEN b) c) d) e) f)

14. Verifying Segment Relationships
Lesson 2-5

15. Theorem 2-1 - Congruence of segments is:
Lesson 2-5
Theorem Congruence of segments is:
Reflexive
Symmetric
Transitive
Vocabulary:
Theorem 2-1

16. Verifying Angle Relationships
Lesson 2-6

17. Lesson 2-4
2-2
If two angles form a linear pair, then they are supplementary angles
2-3
Congruence of angles is reflexive, symmetric, and transitive
2-4
Angles supplementary to the same angle or to congruent angles are congruent
2-5
Angles complementary to the same angle or to congruent angles are congruent
2-6
All right angles are congruent
2-7
Vertical angles are congruent
2-8
Perpendicular lines intersect to form four right angles
Vocabulary:
Theorems:
2-2
2-3
2-4
2-5
2-6
2-7
2-8