Int. Geometry Unit 1 Test Review 1
|
|
- Cameron Tate
- 5 years ago
- Views:
Transcription
1 Int. Geometry Unit 1 Test Review 1 irections 1-3: Refer to the given diagram to fill in the blanks: 1. m O + m O = (give two names) O 2. If m O = 60, then m O =, m O = and m O = 3. If O is the midpoint of, then irections 4-8: Refer to the given diagram and indicate true or false 4. contains G. 5. Point is on j M 6. is the midpoint of 7. Plane N contains N G 8.,, and are noncollinear but coplanar. irections 9-19: nswers with a sometimes, always or never. 9. Three points lie in exactly one line. 10. Three points lie in exactly one plane. 11. Two intersecting lines intersect in exactly one point. 12. Two intersecting planes intersect in exactly one point. 13. Two planes intersect. 14. line and a point not on that line lie in more than one plane 15. Two lines intersect in exactly one point. 16. Two intersecting lines lie in exactly one plane. 17. line contains exactly one point. 18. postulate is a statement assumed to be true without proof. 19. XY and YX denote the same ray.
2 Int. Geometry Unit 1 Test Review 2 irections 20-22: etermine whether each relationship can be assumed from the figure. Write yes or no. 20. is a right angle 21. is the midpoint of 22. and are congruent irections 23-26: Name the intersection of the indicated geometric figures. 23. G and plane n 24. line n and. 25. and 26. and G G 27. V is the midpoint of, = 30x 30, and V = 6x ind V. (hint make your own picture) irections 28-29: Use the diagram to answer the following questions. 28. If the ratio of m H to m H is 7:11. If m H = 90 find m H., H 29. If m H = ( 12x 5) and m H = ( 8x + 25) find m H., G
3 Int. Geometry Unit 1 Test Review Write the converse, inverse, and contrapositive of the given conditional. Tell if the conditional is true or false, and if it is false provide a counter-example. If two angles are right angles, then the two angles are congruent. onverse: Inverse: ontrapositive: 31. Write the converse, inverse, and contrapositive of the given conditional. Tell if the conditional is true or false, and if it is false provide a counter-example. If =, then is the midpoint of. onverse: Inverse: ontrapositive: irections 32-36: Use the following information to draw a valid conclusion and tell the rule used. If no conclusion is possible, state no conclusion. 32. ll children have pets. Laura does not have a pet. 33. If you go to high school, then you will go to college. If you do not have two degrees, then you did not go to college. (hint: you may need to change one of the conditionals to a logically equivalent statement)
4 Int. Geometry Unit 1 Test Review If it is sunny, then I am outside. I am outside. 35. If you go to Washington-Lee HS, then you live in rlington. ndy goes to Washington- Lee HS. 36. It is not cold. If it is cold, then it is snowing. irections 37-40: Given that p is false, q is true, and r is true, determine the truth value. 37. q r 39. ~ q p 38 r ( q p) 40. ( ~ ) r q p 41. Suppose( ~ p q) is true. What can you say about the truth values of p and q? 42. Suppose ~ ( p q) is true. What can you say about the truth values of p and q? page 644 #1-16 has extra practice with conjunctions and disjunctions. 43. The Venn diagram shows the results of a survey about types of ice cream that they enjoy eating. How many people enjoy eating. a) only chocolate? b) vanilla and strawberry? (hint some still may like chocolate also) c) chocolate or vanilla? d) not rocky road? e) vanilla? f) rocky road and vanilla?
5 Int. Geometry Unit 1 Test Review The Venn diagram below has sets labeled,, and. The regions are numbered 1-8. Which region(s) belong to the following conditions? a) Only Set? b) Set and Set? c) Set or? d) Not in set? people were surveyed about two isney princesses. 80 people liked Jasmine, 74 people liked Rapunzel and 30 liked both. a) raw a Venn diagram representing the survey. b) How many people liked neither of the princesses? Selected nswers: or O , 60, O O 4. True 5. True 6. alse 7. True 8 True (plane not drawn in) 9. sometimes 10. sometimes (collinear points) 11. always 12. never 13. sometimes 14. never 15. sometimes (parallel lines) 16. always 17. never 18. always 19. never 20. No 21. No 22. No 23. point 24. point
6 Int. Geometry Unit 1 Test Review (sides of an angle are rays) 26. point 27. V = m H = m H = Original conditional: True onverse: If two angles are congruent, then the two angles are right angles. alse they could be 30 Inverse: If two angles are not right angles, then the two angles are not congruent. alse, they could both be 30 ontrapositive: If two angles are not congruent, then the angles are not right angles. True 31. Original conditional: alse (counter example is picture) 4 onverse: If is the midpoint of, then =. True Inverse: If, then is not the midpoint of. True 4 ontrapositive: If is not the midpoint of, then. alse, counter example is the picture 32. Laura is not a child. The law of contrapositive inference 33. If you go to high school, then you will have two degrees. The law of syllogism. (change the second conditional to its contrapositive). 34. No conclusion 35. ndy lives in rlington. Law of etachment 36. No conclusion 37. True 38. True 39. alse 40. alse 41. p is false; q is true 42. p and q are both false 43. a) 35 b) 35 c) 143 d) 172 e) 94 f) a) 2 b) 3, 4 c) 2, 3, 4, 5, 7, 8 d) 1, 6, 7, a) b) 76
Int. Geometry Units 1-6 Review 1
Int. Geometry Units 1-6 Review 1 Things to note about this review and the Unit 1-6 Test: 1. This review packet covers major ideas of the first six units, but it does not show examples of all types of problems..
More information(b) Follow-up visits: December, May, October, March. (c ) 10, 4, -2, -8,..
Geometry Honors - Chapter 2 Reasoning and Proof Section 2-1 Inductive Reasoning and Conjecture I can explore inductive and deductive reasoning. I can find counterexamples to disprove conjectures. I can
More informationChapter 2. Reasoning and Proof
Chapter 2 Reasoning and Proof 2.1 Inductive Reasoning 2.2 Analyze Conditional Statements 2.3 Apply Deductive Reasoning 2.4 Use Postulates and Diagrams 2.5 Algebraic Proofs 2.6 Segments and Angles Proofs
More informationChapter 2 Study Guide and Review
State whether each sentence is true or false If false, replace the underlined term to make a true sentence 1 The first part of an if-then statement is the conjecture The first part of an if-then statement
More informationStudy Guide and Review
State whether each sentence is true or false. If false, replace the underlined term to make a true sentence. 1. A postulate is a statement that requires proof. A postulate is a statement that does not
More informationStudy Guide and Review
State whether each sentence is or false. If false, replace the underlined term to make a sentence. 1. A postulate is a statement that requires proof. A postulate is a statement that does not require a
More informationChapter 2 Review. Short Answer Determine whether the biconditional statement about the diagram is true or false.
Chapter 2 Review Short Answer Determine whether the biconditional statement about the diagram is true or false. 1. are supplementary if and only if they form a linear pair. 2. are congruent if and only
More informationCMA Geometry Unit 1 Introduction Week 2 Notes
CMA Geometry Unit 1 Introduction Week 2 Notes Assignment: 9. Defined Terms: Definitions betweenness of points collinear points coplanar points space bisector of a segment length of a segment line segment
More informationHONORS GEOMETRY CHAPTER 2 WORKBOOK
HONORS GEOMETRY CHAPTER 2 WORKBOOK FALL 2016 Chapter 2 Miscellaneous: The Structure of Geometry Vocabulary Definition Example Elements: 1. Deductive Structure Postulate (axiom) Example: Definitions Reversed:
More informationGeometry. Unit 2- Reasoning and Proof. Name:
Geometry Unit 2- Reasoning and Proof Name: 1 Geometry Chapter 2 Reasoning and Proof ***In order to get full credit for your assignments they must me done on time and you must SHOW ALL WORK. *** 1. (2-1)
More informationNAME DATE PER. 1. ; 1 and ; 6 and ; 10 and 11
SECOND SIX WEEKS REVIEW PG. 1 NME DTE PER SECOND SIX WEEKS REVIEW Using the figure below, identify the special angle pair. Then write C for congruent, S for supplementary, or N for neither. d 1. ; 1 and
More informationGeometry 1 st Semester review Name
Geometry 1 st Semester review Name 1. What are the next three numbers in this sequence? 0, 3, 9, 18, For xercises 2 4, refer to the figure to the right. j k 2. Name the point(s) collinear to points H and
More informationGeometry: Notes
Geometry: 2.1-2.3 Notes NAME 2.1 Be able to write all types of conditional statements. Date: Define Vocabulary: conditional statement if-then form hypothesis conclusion negation converse inverse contrapositive
More informationGeometry Semester 1 Mid Term Review #2
eometry Semester 1 Mid Term Review #2 Multiple Choice Identify the choice that best completes the statement or answers the question. Refer to Figure 1. n H K A D B C m J 1. Name a point NOT contained in
More informationray part of a line that begins at one endpoint and extends infinitely far in only one direction.
1.1 Getting Started A 1 F m point location in space. E line The {set} of infinite points arranged in a straight figure that extends infinitely far in both directions. which each point is assigned a numerical
More informationSection 2-1. Chapter 2. Make Conjectures. Example 1. Reasoning and Proof. Inductive Reasoning and Conjecture
Chapter 2 Reasoning and Proof Section 2-1 Inductive Reasoning and Conjecture Make Conjectures Inductive reasoning - reasoning that uses a number of specific examples to arrive at a conclusion Conjecture
More informationChapter 5 Vocabulary:
Geometry Week 11 ch. 5 review sec. 6.3 ch. 5 review Chapter 5 Vocabulary: biconditional conclusion conditional conjunction connective contrapositive converse deductive reasoning disjunction existential
More informationNAME DATE PERIOD. Inductive Reasoning and Conjecture. Make a conjecture based on the given information. Draw a figure to illustrate your conjecture.
2-1 NAME DATE PERIOD Skills Practice Inductive Reasoning and Conjecture Make a conjecture about the next item in each sequence. 1. 2. 4, 1, 2, 5, 8 3. 6, 1 1, 5, 9 2 2,4 4. 2, 4, 8, 16, 32 Make a conjecture
More informationSemester 1 Cumulative Summative Review Teacher: Date: B
GOMTRY Name: 2016-2017 Semester 1 umulative Summative Review Teacher: ate: To be prepared for your midterm, you will need to PRTI PROLMS and STUY TRMS from the following chapters. Use this guide to help
More informationMACM 101 Discrete Mathematics I. Exercises on Propositional Logic. Due: Tuesday, September 29th (at the beginning of the class)
MACM 101 Discrete Mathematics I Exercises on Propositional Logic. Due: Tuesday, September 29th (at the beginning of the class) SOLUTIONS 1. Construct a truth table for the following compound proposition:
More informationPre-AP Geometry. True or False: 1. Points A, B, and D are collinear. 2. Points B, F, and H are coplanar. 3. Points H, B, D, and A are coplanar.
Pre-AP Geometry Unit 1 Test Review Name: Date: Period: True or False: 1. Points A, B, and D are collinear. 2. Points B, F, and H are coplanar.. Points H, B, D, and A are coplanar. 4. XV is the same as
More informationInt. Geometry Unit 2 Test Review 1
Int. Geometry Unit Test Review irections -: Use the diagram to determine if the angles are vertical, adjacent, supplementary, complementary, or a linear pair. Write all that apply.. and. and 6 0. 8 and
More informationGeometry Chapter 2 2-3: APPLY DEDUCTIVE REASONING
Geometry Chapter 2 2-3: APPLY DEDUCTIVE REASONING Warm-up Any Definition can be written as a Biconditional Statement. For Warm-up: Write some of our past vocabulary terms as Biconditional statements. Terms:
More informationWriting: Answer each question with complete sentences. 1) Explain what it means to bisect a segment. Why is it impossible to bisect a line?
Writing: Answer each question with complete sentences. 1) Explain what it means to bisect a segment. Why is it impossible to bisect a line? 2) Are all linear pairs supplementary angles? Are all supplementary
More information1.4 Reasoning and Proof
Name Class Date 1.4 Reasoning and Proof Essential Question: How do you go about proving a statement? Explore Exploring Inductive and Deductive Reasoning Resource Locker A conjecture is a statement that
More information2-2 Logic ANSWER: A week has seven days, and there are 20 hours in a day. is false, because q is false. 3. ANSWER:
Use the following statements to write a compound statement for each conjunction or disjunction. Then find its truth value. Explain your reasoning. p : A week has seven days. q: There are 20 hours in a
More informationChapter 4 Reasoning and Proof Geometry
Chapter 4 Reasoning and Proof Geometry Name For 1 & 2, determine how many dots there would be in the 4 th and the 10 th pattern of each figure below. 1. 2. 3. Use the pattern below to answer the following:
More informationName: Jan 2016 Semester1 Review Block: Date:
GOMTRY Name: Jan 2016 Semester1 Review lock: ate: To be prepared for your midterm, you will need to PRTI PROLMS and STUY TRMS from the following chapters. Use this guide to help you practice. Unit 1 (1.1
More information2.1 Practice A. Name Date. In Exercises 1 and 2, copy the conditional statement. Underline the hypothesis and circle the conclusion.
Name ate.1 Practice In Exercises 1 and, copy the conditional statement. Underline the hypothesis and circle the conclusion. 1. If you like the ocean, then you are a good swimmer.. If it is raining outside,
More informationSemester Exam Review. Multiple Choice Identify the choice that best completes the statement or answers the question.
Semester Exam Review Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Are O, N, and P collinear? If so, name the line on which they lie. O N M P a. No,
More informationLogic and Conditional Statements
Logic and Conditional Statements Organizing topic Reasoning and Proof Overview Students investigate symbolic form while working with conditional statements. Related Standard of Learning G.1 Objectives
More informationChapter 2: Reasoning and Proof
Name: Chapter 2: Reasoning and Proof Guided Notes Geometry Fall Semester 2.1 Use Inductive Reasoning CH. 2 Guided Notes, page 2 Term Definition Example conjecture An unproven statement that is based on
More information2) Are all linear pairs supplementary angles? Are all supplementary angles linear pairs? Explain.
1) Explain what it means to bisect a segment. Why is it impossible to bisect a line? 2) Are all linear pairs supplementary angles? Are all supplementary angles linear pairs? Explain. 3) Explain why a four-legged
More informationGeometry Midterm Review Packet
Name: ate: lock: 2012 2013 Geometry Midterm Review Packet ue: 1/7/13 (for +5 on packet) 1/8/13 (for +3 on packet) 1/9/13 (for +2 on packet) 1/10/13 ( ay lasses) 1/11/13 ( ay lasses) The midterm will be
More informationGeometry Unit 2 Notes Logic, Reasoning and Proof
Geometry Unit 2 Notes Logic, Reasoning and Proof Review Vocab.: Complementary, Supplementary and Vertical angles. Syllabus Objective: 2.1 - The student will differentiate among definitions, postulates,
More informationGeometry Study Guide. Name: Class: Date: Matching
Name: Class: Date: ID: A Geometry Study Guide Matching Match each vocabulary term with its definition. a. conjecture e. biconditional statement b. inductive reasoning f. hypothesis c. deductive reasoning
More informationGeometry: A Complete Course
Geometry: omplete ourse (with Trigonometry) Module - Student WorkText Written by: Thomas E. lark Larry E. ollins Geometry: omplete ourse (with Trigonometry) Module Student Worktext opyright 2014 by VideotextInteractive
More information2-1. Inductive Reasoning and Conjecture. Lesson 2-1. What You ll Learn. Active Vocabulary
2-1 Inductive Reasoning and Conjecture What You ll Learn Scan Lesson 2-1. List two headings you would use to make an outline of this lesson. 1. Active Vocabulary 2. New Vocabulary Fill in each blank with
More informationDay 1 Inductive Reasoning and Conjectures
Formal Geometry Chapter 2 Logic and Proofs Day 1 Inductive Reasoning and Conjectures Objectives: SWBAT form a conjecture, and check it SWBAT use counterexamples to disprove a conjecture Logic the use of
More informationSection 8.4 Vector and Parametric Equations of a Plane
Section 8.4 Vector and Parametric Equations of a Plane In the previous section, the vector, parametric, and symmetric equations of lines in R 3 were developed. In this section, we will develop vector and
More informationNAME DATE PERIOD. Inductive Reasoning and Conjecture , 5, 9 2 2, 4
2-1 Skills Practice Inductive Reasoning and Conjecture Make a conjecture about the next item in each sequence. 1. 2. 4, 1, 2, 5, 8 3. 6, 1 1, 5, 9 2 2, 4 4. 2, 4, 8, 16, 32 Make a conjecture based on the
More information2.1 Start Thinking. 2.1 Warm Up. 2.1 Cumulative Review Warm Up
2.1 Start Thinking The statement If you are able to open the door, then the door is unlocked is always true. Write a statement you know to be true in the same if-then form. Support your statement with
More informationUsing Inductive and Deductive Reasoning
Big Idea 1 CHAPTER SUMMARY BIG IDEAS Using Inductive and Deductive Reasoning For Your Notebook When you make a conjecture based on a pattern, you use inductive reasoning. You use deductive reasoning to
More informationGeometry Unit 1 Practice
Lesson 1-1 1. Persevere in solving problems. Identify each figure. hen give all possible names for the figure. a. S Geometry Unit 1 Practice e. P S G Q. What is a correct name for this plane? W R Z X b..
More information2, 10, 30, 68, 130,...
Geometry Unit 4: Reasoning Unit 4 Review Mathematician: Period: Target 1: Discover patterns in a sequence of numbers and figures Directions: Determine what type of is displayed in the given tables. 1)
More informationChapter 2 Test Review
Chapter 2 Test Review 1. If then what are and The diagram is not to scale. A., C., B., D., 2. How are the two angles related? 60 120 Drawing not to scale A. supplementary C. vertical B. adjacent D. complementary
More informationChapter 2 Test Review. Complete each truth table.
1. Complete each truth table. 2. SCHOOL The Venn diagram shows the number of students in the band who work after school or on the weekends. 3. How many students work after school and on weekends? 4. How
More informationGeometry Advanced Fall Semester Exam Review Packet -- CHAPTER 1
Name: Class: Date: Geometry Advanced Fall Semester Exam Review Packet -- CHAPTER 1 Multiple Choice. Identify the choice that best completes the statement or answers the question. 1. Which statement(s)
More informationGeometry: CBA-I Review
Name: Period: ate: Geometry: 2013-2014 -I Review 1. Identify each construction. X 1 2 2. Identify the converse, inverse, contrapositive, and bi-conditional form of the statement given below. If a triangle
More informationGeometry Semester 1 Mid Term Review
Geometry Semester 1 Mid Term Review Multiple Choice Identify the choice that best completes the statement or answers the question. Refer to Figure 1 #1-3. 1. What is another name for line n? A. line JB
More informationB C. You try: What is the definition of an angle bisector?
US Geometry 1 What is the definition of a midpoint? The midpoint of a line segment is the point that divides the segment into two congruent segments. That is, M is the midpoint of if M is on and M M. 1
More informationright angle an angle whose measure is exactly 90ᴼ
right angle an angle whose measure is exactly 90ᴼ m B = 90ᴼ B two angles that share a common ray A D C B Vertical Angles A D C B E two angles that are opposite of each other and share a common vertex two
More informationChapter 2. Reasoning and Proof
Chapter 2 Reasoning and Proof 2.1 Use Inductive Reasoning Objective: Describe patterns and use deductive reasoning. Essential Question: How do you use inductive reasoning in mathematics? Common Core: CC.9-12.G.CO.9
More informationLecture 2. Logic Compound Statements Conditional Statements Valid & Invalid Arguments Digital Logic Circuits. Reading (Epp s textbook)
Lecture 2 Logic Compound Statements Conditional Statements Valid & Invalid Arguments Digital Logic Circuits Reading (Epp s textbook) 2.1-2.4 1 Logic Logic is a system based on statements. A statement (or
More informationREVIEW PACKET January 2012
NME: REVIEW PKET January 2012 My PERIOD DTE of my EXM TIME of my EXM **THERE RE 10 PROBLEMS IN THIS REVIEW PKET THT RE IDENTIL TO 10 OF THE PROBLEMS ON THE MIDTERM EXM!!!** Your exam is on hapters 1 6
More informationName: Geometry. Chapter 2 Reasoning and Proof
Name: Geometry Chapter 2 Reasoning and Proof ***In order to get full credit for your assignments they must me done on time and you must SHOW ALL WORK. *** 1. (2-1) Inductive Reasoning and Conjecture Pg
More information2-6 Geometric Proof. Warm Up Lesson Presentation Lesson Quiz. Holt Geometry
2-6 Geometric Proof Warm Up Lesson Presentation Lesson Quiz Warm Up Determine whether each statement is true or false. If false, give a counterexample. 1. It two angles are complementary, then they are
More information1-2 Measuring and Constructing Segments
1-2 Measuring and Constructing Segments Warm Up Lesson Presentation Lesson Quiz Objectives Use length and midpoint of a segment. Construct midpoints and congruent segments. Vocabulary coordinate midpoint
More informationAustin is the capital of Texas, and Texas shares a border with Louisiana. is true because p is true and r is true. 2-2 Logic
Use the following statements and figure to write a compound statement for each conjunction or disjunction. Then find its truth value. Explain your reasoning. p : is the angle bisector of. q: Points C,
More informationChapter 1, Logic and Proofs (3) 1.6. Rules of Inference
CSI 2350, Discrete Structures Chapter 1, Logic and Proofs (3) Young-Rae Cho Associate Professor Department of Computer Science Baylor University 1.6. Rules of Inference Basic Terminology Axiom: a statement
More informationGeometry Test Unit 2 Logic, Reasoning and Proof
Geometry Test Unit 2 Logic, Reasoning and Proof Name: Date: Pd: Definitions (1-4) 1) Conditional Statement 2) Inductive Reasoning 3) Contrapositive 4) Logically equivalent statements 5) State the hypothesis
More information2-4 Deductive Reasoning
Determine whether each conclusion is based on inductive or deductive reasoning. 13. A dental assistant notices a patient has never been on time for an appointment. She concludes the patient will be late
More informationGEOMETRY UNIT 1 WORKBOOK. CHAPTER 2 Reasoning and Proof
GEOMETRY UNIT 1 WORKBOOK CHAPTER 2 Reasoning and Proof 1 2 Notes 5 : Using postulates and diagrams, make valid conclusions about points, lines, and planes. I) Reminder: Rules that are accepted without
More informationOBJECTIVES UNIT 1. Lesson 1.0
OBJECTIVES UNIT 1 Lesson 1.0 1. Define "set," "element," "finite set," and "infinite set," "empty set," and "null set" and give two examples of each term. 2. Define "subset," "universal set," and "disjoint
More informationGeometry Final Review. Chapter 1. Name: Per: Vocab. Example Problems
Geometry Final Review Name: Per: Vocab Word Acute angle Adjacent angles Angle bisector Collinear Line Linear pair Midpoint Obtuse angle Plane Pythagorean theorem Ray Right angle Supplementary angles Complementary
More information1) If AB is congruent to AC, then B is congruent to C.
233 1) If is congruent to, then is congruent to. Proof of 1). 1) ssume ". (We must prove that ".) 2) ", because the identity is a rigid motion that moves to. 3) Therefore, Δ " Δ by the xiom. (The correspondence
More informationHonors Geometry Exam Review January 2015
Class: Date: Honors Geometry Exam Review January 2015 Multiple Choice Identify the choice that best completes the statement or answers the question. 1. How many planes can be drawn through any three noncollinear
More informationChapter 2: Geometric Reasoning Review
Geometry B Name: Date: Block: Chapter 2: Geometric Reasoning Review Show all work to receive full credit. This will be collected. 1) What is the next item in the pattern? 1, 2, 4, 8,... 2) Find the next
More informationLESSON 2 5 CHAPTER 2 OBJECTIVES
LESSON 2 5 CHAPTER 2 OBJECTIVES POSTULATE a statement that describes a fundamental relationship between the basic terms of geometry. THEOREM a statement that can be proved true. PROOF a logical argument
More informationHonors Geometry Semester Review Packet
Honors Geometry Semester Review Packet 1) Explain what it means to bisect a segment. Why is it impossible to bisect a line? 2) Are all linear pairs supplementary angles? Are all supplementary angles linear
More informationGeometry First Semester Exam Review
Geometry First Semester Exam Review Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Name three points that are collinear. a. points T, Q, and R c. points
More informationALLEN PARK HIGH SCHOOL F i r s t S e m e s t e r R e v i e w
ALLEN PARK HIGH SCHOOL i r s t S e m e s t e r R e v i e w G EOMERY APHS/MAH Winter 2010 DIRECIONS his section of test is 68 items, which you will work in this booklet. Mark the correct answer as directed
More informationLogic. Def. A Proposition is a statement that is either true or false.
Logic Logic 1 Def. A Proposition is a statement that is either true or false. Examples: Which of the following are propositions? Statement Proposition (yes or no) If yes, then determine if it is true or
More information2.1 Practice B. 1. If you like to eat, then you are a good cook. 2. If an animal is a bear, then it is a mammal.
hapter.1 Start Thinking Sample answer: If an animal is a horse, then it is a mammal; If an animal is not a mammal, then it cannot be a horse. Any fact stated in the form of an "if-then" statement could
More informationCHAPTER 1 - LOGIC OF COMPOUND STATEMENTS
CHAPTER 1 - LOGIC OF COMPOUND STATEMENTS 1.1 - Logical Form and Logical Equivalence Definition. A statement or proposition is a sentence that is either true or false, but not both. ex. 1 + 2 = 3 IS a statement
More informationUNIT 1. Basics of Geometry. What is a pattern? Aug 20 11:14 AM. Jun 8 2:09 PM. Aug 20 10:46 AM. Aug 20 11:08 AM. 1.1 Finding and Describing Patterns
UNIT 1 Basics of Geometry 1.1 Finding and Describing Patterns What is a pattern? Jun 8 2:09 PM Aug 20 11:00 AM Aug 20 10:46 AM Aug 20 11:04 AM Let's Practice! Making predictions! Describe a pattern. 3.
More informationIntroduction to Geometry
Introduction to Geometry What is Geometry Why do we use Geometry What is Geometry? Geometry is a branch of mathematics that concerns itself with the questions of shape, size, position of figures, and the
More informationGeometry CP Review WS
Geometry CP 2.1-2.5 Review WS Name 1. a) Use inductive reasoning to sketch the fourth figure in each pattern. Figure 4 b) How many squares are in the next object? 2. Use inductive reasoning to write the
More informationCh 2 Practice. Multiple Choice
Ch 2 Practice Multiple Choice 1. For the conditional statement, write the converse and a biconditional statement. If a figure is a right triangle with sides a, b, and c, then a 2 + b 2 = c 2. a. Converse:
More informationLOGIC CONNECTIVES. Students who have an ACT score of at least 30 OR a GPA of at least 3.5 can receive a college scholarship.
LOGIC In mathematical and everyday English language, we frequently use logic to express our thoughts verbally and in writing. We also use logic in numerous other areas such as computer coding, probability,
More informationRead ahead and use your textbook to fill in the blanks. We will work the examples together.
Math 1312 Section 1.1 : Sets, Statements, and Reasoning Read ahead and use your textbook to fill in the blanks. We will work the examples together. A set is any. hese objects are called the of the set.
More informationInductive Reasoning. Courage is resistance to fear, mastery of fear, not absence of fear. Mark Twain
Inductive Reasoning Courage is resistance to fear, mastery of fear, not absence of fear. Mark Twain Inductive Reasoning O Inductive Reasoning is the process of observing a pattern and making a conjecture
More informationFind the next item in the pattern below. The red square moves in the counterclockwise direction. The next figure is.
CHAPTER 2 Study Guide: Review Organizer Objective: Help students organize and review key concepts and skills presented in Chapter 2. Online Edition Multilingual Glossary Countdown Week 4 Vocabulary biconditional
More informationTo reason to a correct conclusion, we must build our arguments on true statements. Sometimes it is helpful to use truth tables. Simple Truth Table p
Geometry Week 9 Sec 5.3 and 5.4 section 5.3 To reason to a correct conclusion, we must build our arguments on true statements. Sometimes it is helpful to use truth tables. Simple Truth Table p T F p F
More informationCumulative Test 1. Name Date. In Exercises 1 5, use the diagram at the right. Answers
umulative Test In Eercises 5, use the diagram at the right.. Name the intersection of E @##$ and @##$. E. 2. Name the intersection of plane and plane E. 3. re points,, and collinear? 2. 3. 4. re points
More informationGeometry: A Complete Course
Geometry: omplete ourse (with Trigonometry) Module - Student WorkText Written by: Thomas. lark Larry. ollins RRT 4/2010 6. In the figure below, and share the common segment. Prove the following conditional
More informationInductive Reasoning. Inductive Reasoning. Inductive Reasoning. Inductive Reasoning. Logic (with Truth Tables) If-Then Statements
Intro to Proofs (t-charts and paragraph) www.njctl.org Table of Contents When asked a question you don't know the answer to: 1) You can take a known to be true. Using conjecture is Contents Bob is taller
More informationConditional Statements
Conditional Statements nalyze statements in if-then form. Write the converse, inverse, and contrapositive of if-then statements. Vocabulary conditional statement if-then statement hypothesis conclusion
More informationGeometry Semester 1 REVIEW
Name: Class: Date: ID: A Geometry Semester 1 REVIEW 1. The figure below is a rectangular shipping box. Name two different planes that contain BC. 2. Find BC. 3. The endpoints of GH are GÊ Ë Á 6, 9 ˆ and
More informationFive-Minute Check (over Lesson 2 1) Then/Now New Vocabulary Example 1: Truth Values of Conjunctions Example 2: Truth Values of Disjunctions Concept
Five-Minute Check (over Lesson 2 1) Then/Now New Vocabulary Example 1: Truth Values of Conjunctions Example 2: Truth Values of Disjunctions Concept Summary: Negation, Conjunction, Disjunction Example 3:
More informationCSC 125 :: Final Exam May 3 & 5, 2010
CSC 125 :: Final Exam May 3 & 5, 2010 Name KEY (1 5) Complete the truth tables below: p Q p q p q p q p q p q T T T T F T T T F F T T F F F T F T T T F F F F F F T T 6-15. Match the following logical equivalences
More information1.5 Related Conditionals
Name Class Date 1.5 Related Conditionals Essential Question: How are conditional statements related to each other? Explore G.4.B Identify and determine the validity of the converse, inverse, and contrapositive
More informationConditional Statements
2.1 TEXAS ESSENTIAL KNOWLEDGE AND SKILLS G.4.B Conditional Statements Essential Question When is a conditional statement true or false? A conditional statement, symbolized by p q, can be written as an
More informationChapter 1: The Logic of Compound Statements. January 7, 2008
Chapter 1: The Logic of Compound Statements January 7, 2008 Outline 1 1.1 Logical Form and Logical Equivalence 2 1.2 Conditional Statements 3 1.3 Valid and Invalid Arguments Central notion of deductive
More informationReview The Conditional Logical symbols Argument forms. Logic 5: Material Implication and Argument Forms Jan. 28, 2014
Logic 5: Material Implication and Argument Forms Jan. 28, 2014 Overview I Review The Conditional Conditional statements Material implication Logical symbols Argument forms Disjunctive syllogism Disjunctive
More informationPractice. 8. Use inductive reasoning to determine the next two terms in the sequence. a. 1, 3, 7, 15, 31, b. 3, -6, 12, -24, 48,
CTIC CTIVITY 1.1 1. Which is the correct name for this line? G M a. G c. MG b. GM d. M 2. Use the diagram to name each of the following. L M a. parallel lines b. perpendicular lines. In this diagram, m
More informationThe following statements are conditional: Underline each hypothesis and circle each conclusion.
Geometry Unit 2 Reasoning and Proof 2-1 Conditional Statements Conditional Statement a statement which has a hypothesis and conclusion, often called an if-then statement. Conditional statements are contain
More informationClass IX Chapter 5 Introduction to Euclid's Geometry Maths
Class IX Chapter 5 Introduction to Euclid's Geometry Maths Exercise 5.1 Question 1: Which of the following statements are true and which are false? Give reasons for your answers. (i) Only one line can
More informationAlgebra 1. Predicting Patterns & Examining Experiments. Unit 5: Changing on a Plane Section 4: Try Without Angles
Section 4 Examines triangles in the coordinate plane, we will mention slope, but not angles (we will visit angles in Unit 6). Students will need to know the definition of collinear, isosceles, and congruent...
More informationGeometry/Trigonometry Unit 2: Parallel Lines Notes Period:
Geometry/Trigonometry Unit 2: Parallel Lines Notes Name: Date: Period: # (1) Pg 108 109 #1-10 all (2) Pg 108 109 #12-22 Even and 30, 32 (3) Pg 114 #1-6; 9-13 (4) Pg 114-115 #15-18; 20; 22; 24; 26; 29 and
More information