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Extended Geometry – Chapter 2 Objectives: Name _________________________ 2.1 Segment Bisectors 2.2 Angle bisectors 2.2.1 Angle Addition Postulate 2.3 Complementary and supplementary angles. 2.4 Vertical angles & Linear pairs 2.5 Recognize and analyze conditional statements 2.5 Use point, line and plane postulates 2.5 Recognize and use definitions 2.5 Recognize and use biconditional statements 2.5 Deductive reasoning (symbolic notation, laws of logic, inverse and contrapositive) 2.6 Use properties of Algebra 2.6 Use properties of length and measure 2.6 Use properties of congruent segments 2.6 Proving congruence of segments 2.6 Use angle congruence properties 2.6 Prove properties about special pairs of angles *Be sure to come in before or after school to retest over any objective less than 75% Time Line: Day 1 Day 2 Day 3 Day 4 Day 5 Day 6 2.1 Segment Bisectors 2.1 Midpoint Formula 2.2 Angle Bisectors 2.2.1 Angle Addition Post. QUIZ(2.1-2.3) 2.4 Vertical Angles Assignment: Pg. 56: 1-7, 11-29, Assignment: Pg.56: 8-10, 30-51 2.3 Complementary & Supplementary Angles Assignment: Pg. 70: 1-27, 35-37 Assignment Pg. 78: 1, 3, 5, 6, 8, 15-19, 28-33, 52, 55 Assignment Pg. 78: 2, 4, 7, 9-14, 21-27, 38-50, 53, 54, 56, 57 Day 7 Day 8 Day 9 Day 10 Day 11 Day 12 2.5 Recognize & Analyze conditional Statements & Notation Assignment: Worksheet 2.5A 2.5 Recognize & Use Bi-conditional statements & defs 2.5 Deductive Reasoning & Laws of Logic w/notation 2.6 Properties of Congruence & Equality 2.6 Starting Proofs Assignment Worksheet 2.5B Assignment Pg. 85: 1, 2, 5-8, 13-23 Assignment: Worksheet 2.6A Assignment: Pg.91: 1-24 Chapter 2 Mini-Test Day 13 Bike Racer Activity Chapter 2 Summary and Review Assignment: Pg. 95: 1-26 Day 14 Chapter 2 Test Assignment: Chapter 3 Vocabulary Vocabulary: 1. Midpoint 2. Midpoint Formula 3. Segment Bisector 4. Bisect 5. Angle Bisector 6. Complementary Angles 7. Complement of an Angle Assignment: Pg.64: 1-22, 28-30, 32 2.4 Linear Pair 8. Supplementary Angles 9. Supplement of an angle 10. Theorem 11. Congruent Complements Theorem 12. Congruent Supplements Theorem 13. Vertical Angles 14. Linear Pair 15. Linear Pair Postulate 16. Vertical Angles Theorem 17. Conditional statement 18. If-then form 19. Hypothesis 20. Conclusion 21. Converse 22. Negation 23. Inverse 24. Contrapositive 25. Biconditional statement 26. Adjacent Angles 27. Two-column proof 28. Paragraph proof 29. Point, Line, Plane Postulates: 1. 2. 3. 4 5 6 7 30. Law of Detachment 31. Law of Syllogism 32. Algebraic Properties of Equality Addition Subtraction Multiplication Division Reflexive Symmetric Transitive Substitution 33. Properties of Equality Reflexive Symmetric Transitive 34. Properties of Segment Congruence Reflexive Symmetric Transitive 35. Properties of Angle Congruence: Reflexive Symmetric Transitive