2.1 Practice A. Name Date. In Exercises 1 and 2, copy the conditional statement. Underline the hypothesis and circle the conclusion.
|
|
|
- Ann Lang
- 5 years ago
- Views:
Transcription
1 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, then it is cold. In Exercises 3 and 4, rewrite the conditional statement in if-then form. 3. ll children must attend school. 4. ongruent angles have equal angle measures. 5. Let p be an animal is a puppy and let q be it is a dog. Write each statement in words. Then decide whether it is true or false. a. the conditional statement p q b. the converse q p c. the inverse p q d. the contrapositive q p In Exercises 6 and 7, decide whether the statement about the diagram is true. Explain your answer using the definitions you have learned = P Q 1 R 8. Rewrite the definition of the term as a biconditional statement: Obtuse angles are angles with measures greater than 90 and less than Rewrite the statements as a single biconditional statement: If two angles are supplementary, then the sum of their angle measures is 180. If the sum of two angles is 180, then they are supplementary angles. 10. If the negation of a statement is true, does that mean that the original statement is automatically false? Explain your reasoning. 11. Write a conditional statement that is false but has a true inverse. 4 Geometry opyright ig Ideas Learning, LL
2 Name ate. Practice In Exercises 1 and, describe the pattern. Then write or draw the next two numbers or letters. 1., 5, 11, 3, 47,., Z,, Y,, In Exercises 3 and 4, make and test a conjecture about the given quantity. 3. the difference of any two even integers 4. the product of three negative numbers 5. n angle bisector always creates two acute angles. Find a counterexample to show that the conjecture is false. In Exercises 6 and 7, use the Law of etachment to determine what you can conclude from the given information, if possible. 6. If you go swimming, then you will get wet. You went swimming. 7. Two congruent angles have the same angle measure. m 1 = m In Exercises 8 and 9, use the Law of Syllogism to write a new conditional statement that follows from the pair of true statements, if possible. 8. If you study, then you will pass the exam. If you pass the exam, then you will pass the class. 9. If a straight angle is bisected, then each angle is 90º. If an angle is 90º, then it is a right angle. 10. If x = x, then x is positive. The value of x is 3, so 3 = 3. State the law of logic that is illustrated. In Exercises 11 and 1, decide whether inductive reasoning or deductive reasoning is used to reach the conclusion. Explain your reasoning. 11. This weekend, the sun was shining and it did not rain. So, the next time the sun is shining, you know it will not rain. 1. The product of two even integers is always even. ecause 9 and 14 are even numbers, the product is even. 13. The three tallest peaks in the Rocky Mountains are 4401 meters, 4398 meters, and 4396 meters. The three tallest peaks in the ppalachian Mountains are 037 meters, 06 meters, and 05 meters. Make a conjecture that compares the Rocky Mountains to the ppalachian Mountains. 14. Use deductive reasoning to write a formula for the perimeter P of a regular polygon with n sides, where each side is s. opyright ig Ideas Learning, LL Geometry 47
3 Name ate.3 Practice In Exercises 1 6, use the diagram to write an example of the postulate. 1. Two Point Postulate (Postulate.1). Line-Point Postulate (Postulate.) 3. Line Intersection Postulate (Postulate.3) G F E M 4. Three Point Postulate (Postulate.4) 5. Plane-Point Postulate (Postulate.5) 6. Plane-Line Postulate (Postulate.6) In Exercises 7 9, sketch a diagram of the description. 7. GH intersecting XY at point in plane Q 8. ST bisected by UV at point V in plane R 9. plane and plane that intersect at and point E on plane H In Exercises 10 14, use the diagram to determine whether you can assume the statement. L 10. Planes L and K intersect at PS. U 11. Points U, M, and O are coplanar. 1. QOP is a right angle. 13. MQ is in plane L. S O M P 14. PS and MQ intersect at point O. Q K 15. Rewrite the Three Point Postulate (Postulate.4) in if-then form. Then write the converse, inverse, and contrapositive. Indicate whether these statements are true or false. 16. Your friend claims that if three lines intersect each other, then there are two points of intersection because of the Line Intersection Postulate (Postulate.3). Is your friend correct? Explain your reasoning. 5 Geometry opyright ig Ideas Learning, LL
4 Name ate.4 Practice In Exercises 1 3, solve the equation. Justify each step. x + =. 3 ( x + 1) = ( 16 x 8) = ( x + 16) In Exercises 4 6, solve the equation for the given variable. Justify each step. 4. p = ; v v 5. V = πr h; h 6. S = πrs + πr ; s In Exercises 7 and 8, name the property of equality that the statement illustrates. 7. If x = y, then x = y. 8. If m = m and m = 4, then m = 4. In Exercises 9 11, use the property to copy and complete the statement. 9. ddition Property of Equality: If m J = 30, then m J + m K =. 10. Reflexive Property of Equality: GH = 11. istributive Property: If 3( x + 7) = 30, then + = The formula for the surface area of a rectangular prism is given by the equation = w + h + hw, where is the length, w is the width, and h is the height. Solve the formula for w and justify each step. Then find the width of the prism if the total surface area is 5 square inches, the length is inches, and the height is 4 inches. 13. In the diagram, = 3 and = 5. Find the perimeter of the hexagon. Justify your answer using the properties of equality. w h F E opyright ig Ideas Learning, LL Geometry 57
5 Name ate.5 Practice In Exercises 1 and, write a two-column proof for this property. 1. Symmetric Property of Segment ongruence. Transitive Property of ngle ongruence In Exercises 3 5, write a two-column proof. 3. Given E bisects I, bisects E, and FH bisects EI. Prove EG. E F G I H 4. Given m KMN = 8 and m PTS = 118. Prove JMK STR. J K P M N T S Q L R 5. Given E. Prove E. E opyright ig Ideas Learning, LL Geometry 63
6 Name ate.6 Practice In Exercises 1 and, identify the pairs of congruent angles in the figures. Explain how you know they are congruent In Exercises 3 and 4, find the values of x and y x y 3 (y 6) (3x + 3) (0x + 8) 1 y (y 3x) 8(3x 1) 5. opy and complete the flowchart proof. Then write a paragraph proof. Given: 1 is a right angle. 5 is a right angle. 5 and 8 are supplementary. Prove: Given Vertical ngles ongruence Theorem (Theorem.6) Right ngle ongruence Theorem (Theorem.3) Given efinition of a right angle Right ngle ongruence Theorem (Theorem.3) Subtraction Property of Equality efinition of a right angle Given efinition of supplementary angles 68 Geometry opyright ig Ideas Learning, LL
2.1 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
2.1 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
Geometry - Chapter 2 Corrective 1
Name: Class: Date: Geometry - Chapter 2 Corrective 1 Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Make a table of values for the rule x 2 16x + 64 when
Geometry: 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
The 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
Geometry 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
Chapter 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
B 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
Chapter Test. Chapter Tests LM 5 4, }} MO 5 14, } LN Answers. In Exercises 4 6, use the diagram. Geometry Benchmark Tests
Chapter Test For use after Chapter. Which of the following is not an undefined term? A. Point B. Plane C. Line D. Ray. Which of the following is an undefined term? A. Line B. Ray C. Segment D. Intersection
Geometry. 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)
Chapter 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
Geometry - Chapter 2 Earn-A-Try Test
Name: Geometry - Chapter 2 Earn-A-Try Test Multiple Choice Identify the choice that best completes the statement or answers the question. Use CAPITAL letters only!! Ex: A,B,C,D; Not a,b,c,d. 1. Write a
Answer each of the following problems. Make sure to show your work. 2. What does it mean if there is no counterexample for a conjecture?
Answer each of the following problems. Make sure to show your work. 1. What is a conjecture? 2. What does it mean if there is no counterexample for a conjecture? 3. What purpose would be served by a counterexample
Reasoning and Proof Unit
Reasoning and Proof Unit 1 2 2 Conditional Statements Conditional Statement if, then statement the if part is hypothesis the then part is conclusion Conditional Statement How? if, then Example If an angle
Chapter 2 Test Review 1. Based on the pattern, what are the next two terms of the sequence? 8, 15, 22, 29,...
Number of Customers Geometry Honors Name: Chapter 2 Test Review 1. Based on the pattern, what are the next two terms of the sequence? 8, 15, 22, 29,... 2. Based on the pattern, what is the next figure
GEOMETRY CHAPTER 2 REVIEW / PRACTICE TEST
GEOMETRY CHAPTER 2 REVIEW / PRACTICE TEST Name: Date: Hour: SECTION 1: Rewrite the conditional statement in If-Then Form. Then write its Converse, Inverse, and Contrapositive. 1) Adjacent angles share
1.5 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
Using 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
Name: Class: Date: B. The twentieth term is A. D. There is not enough information.
Class: Date: Chapter 2 Review 1. Based on the pattern, what are the next two terms of the sequence? 9, 15, 21, 27,... A. 33, 972 B. 39, 45 C. 162, 972 D. 33, 39 2. What conjecture can you make about the
Geo - CH2 Practice Test
Geo - H2 Practice Test Multiple hoice Identify the choice that best completes the statement or answers the question. 1. Find the next item in the pattern 2, 3, 5, 7, 11,... a. 13 c. 15 b. 12 d. 17 2. The
7. m JHI = ( ) and m GHI = ( ) and m JHG = 65. Find m JHI and m GHI.
1. Name three points in the diagram that are not collinear. 2. If RS = 44 and QS = 68, find QR. 3. R, S, and T are collinear. S is between R and T. RS = 2w + 1, ST = w 1, and RT = 18. Use the Segment Addition
Study 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
Chapter 03 Test. 1 Complete the congruence statement. A B C D. 2 Complete the congruence statement. A B C D
hapter 03 Test Name: ate: 1 omplete the congruence statement. 2 omplete the congruence statement. 3 If, which of the following can you NOT conclude as being true? opyright 2005-2006 by Pearson Education
Chapters Q1 Exam Practice Test
Chapters 1.1-3.3 Q1 Exam Practice Test Use the diagram to answer the following question(s). 1. What is another name for? L C E 2. What is another name for? O J 3. The figure below is a rectangular shipping
2-1. 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
Chapter 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
Geometry 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
Day 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
Chapter 2. Worked-Out Solutions Quiz (p. 90)
2.1 2.3 Quiz (p. 90) 1. If-then form: If an angle measures 167, then the angle is an obtuse angle. (True) Converse: If an angle is obtuse, then the angle measures 167. (False) Inverse: If an angle does
2-1 Using Inductive Reasoning to Make Conjectures
CHAPTER 2 Chapter Review 2-1 Using Inductive Reasoning to Make Conjectures Find the next term in each pattern. 1. 6, 12, 18,... 2. January, April, July,... 3. The table shows the score on a reaction time
Geometry 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
Geometry Unit 2 Notes Logic, Reasoning and Proof
Geometry Unit Notes Logic, Reasoning and Proof Review Vocab.: Complementary, Supplementary and Vertical angles. Syllabus Objective:. - The student will justify conjectures and solve problem using inductive
Geometry 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,
GEOMETRY. 2.1 Conditional Statements
GEOMETRY 2.1 Conditional Statements ESSENTIAL QUESTION When is a conditional statement true or false? WHAT YOU WILL LEARN owrite conditional statements. ouse definitions written as conditional statements.
Name: 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
Chapter 2 Practice Test
Name: Class: Date: ID: A Chapter 2 Practice Test 1. What is a counterexample for the conjecture? Conjecture: Any number that is divisible by 4 is also divisible by 8. 2. What is the conclusion of the following
Integrated Math II. IM2.1.2 Interpret given situations as functions in graphs, formulas, and words.
Standard 1: Algebra and Functions Students graph linear inequalities in two variables and quadratics. They model data with linear equations. IM2.1.1 Graph a linear inequality in two variables. IM2.1.2
Unit 2 Angles and Proofs. Conditional Statement: Statements in if-then form are called.
2.1-2.5 Unit 2 ngles and Proofs onditional Statement: in if-then form are called. The p portion after the if is The q portion after the then is xample 1: Write each statement in conditional form. a) n
Essential Question How can you use a flowchart to prove a mathematical statement?
.6 Proving Geometric Relationships OMMON OR Learning Standard HSG-O..9 MOLING WITH MTHMTIS To be proficient in math, you need to map relationships using such tools as diagrams, two-way tables, graphs,
Find 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
Semester 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
Ready to Go On? Skills Intervention 2-1 Using Inductive Reasoning to Make Conjectures
Ready to Go On? Skills Intervention 2-1 Using Inductive Reasoning to Make Conjectures Find these vocabulary words in Lesson 2-1 and the Multilingual Glossary. Vocabulary inductive reasoning conjecture
Chapter 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
Unit 2 Definitions and Proofs
2.1-2.4 Vocabulary Unit 2 efinitions and Proofs Inductive reasoning- reasoning based on examples, experience, or patterns to show that that a rule or statement is true Conjecture a statement you believe
Geometry Chapter 2 Practice Free Response Test
Geometry Chapter 2 Practice Free Response Test Directions: Read each question carefully. Show ALL work. No work, No credit. This is a closed note and book test.. Identify Hypothesis and Conclusion of the
Parallel and Perpendicular Lines
Cumulative Test Choose the best answer. 1. Which statement is NOT true? A Parallel lines do not intersect. B A segment has exactly two endpoints. C Two planes that do not intersect are always skew. D A
Conditional 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
Chapter 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
Chapter Review #1-3. Choose the best answer.
Chapter Review #1- Choose the best answer. 1. Which statement is NOT true? A Parallel lines do not intersect. B A segment has exactly two endpoints. C Two planes that do not intersect are always skew.
Section 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
NAME 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
Essential Question How can you prove a mathematical statement?
.5 TEXS ESSENTIL KNOWLEDGE ND SKILLS Preparing for G.6. G.6. G.6.D G.6.E RESONING To be proficient in math, you need to know and be able to use algebraic properties. Proving Statements about Segments and
Geometry 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
Study 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
Geometry 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
National Benchmark Test 1. 1 Which three-dimensional figure does this net produce? Name: Date: Copyright by Pearson Education Page 1 of 13
National enchmark Test 1 Name: ate: 1 Which three-dimensional figure does this net produce? opyright 2005-2006 by Pearson Education Page 1 of 13 National enchmark Test 1 2 Which of the following is a net
Ě /DZ RI 6\OORJLVP p. 60. Ě 5HIOH[LYH 3URSHUW\ p. 65 Ě conclusion, p. 49. Ě QHJDWLRQ p. 49. Ě 6\PPHWULF 3URSHUW\ p. 65 Ě conditional, p.
Topic 2 Review TOPIC VOCBULRY Ě biconditional, p. 55 Ě GHGXFWLYH UHDVRQLQJ p. 60 Ě /DZ RI 6\OORJLVP p. 60 Ě 5HIOH[LYH 3URSHUW\ p. 65 Ě conclusion, p. 49 Ě GLDPHWHU p. 44 Ě QHJDWLRQ p. 49 Ě 6\PPHWULF 3URSHUW\
Geometry 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:
Geometry 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
(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
1. Grab board/marker for your group 2. Do WarmUp below
1. Grab board/marker for your group 2. Do WarmUp below TP bisects VS and MR. VM is congruent to SR. MP = 9, VT = 6 Perimeter of MRSV = 62 V T S Find VM. M P R Paragraph Proof D (2x) x 60 A B C Given: Diagram
1.4 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
ray 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
HONORS 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:
Formal Geometry. Conditional Statements
Formal Geometry Conditional Statements Objectives Can you analyze statements in if then form? Can you write the converse, inverse, and contrapositive of if then statements? Inductive Reasoning Inductive
Name: 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
Geometry 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
NAME 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
Geometry 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..
Chapter 6. Worked-Out Solutions. Chapter 6 Maintaining Mathematical Proficiency (p. 299)
hapter 6 hapter 6 Maintaining Mathematical Proficiency (p. 99) 1. Slope perpendicular to y = 1 x 5 is. y = x + b 1 = + b 1 = 9 + b 10 = b n equation of the line is y = x + 10.. Slope perpendicular to y
Geometry Unit 2 Notes Logic, Reasoning and Proof
Geometry Unit Notes Logic, Reasoning and Proof Review Vocab.: Complementary, Supplementary and Vertical angles. Syllabus Objective:. - The student will justify conjectures and solve problem using inductive
REVIEW 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
Week 1.6 Homework Packet
Name: Week 1.6 Homework Packet 1. For the given statement, write the conditional statement, the converse, the inverse, and the contrapositive. Tell if each is true or false. If it is false, give a counterexample.
LOGIC. 11 Converse, Inverse, Contrapositve. 12/13 Quiz Biconditional Statements
Name Period GP LOGIC I can define, identify and illustrate the following terms Conditional Statement Hypothesis Conclusion Inductive Reasoning Deductive Reasoning Inverse Converse Contrapositive Biconditional
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..
2.2 Day 1: Date: Geometry
2.2 Day 1: Date: Geometry A Conditional Statement is an statement. The is the part following if. The is the part following then. Ex 1). What are the hypothesis and the conclusion of the conditional statement?
Int. 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
Geometry Honors Review for Midterm Exam
Geometry Honors Review for Midterm Exam Format of Midterm Exam: Scantron Sheet: Always/Sometimes/Never and Multiple Choice 40 Questions @ 1 point each = 40 pts. Free Response: Show all work and write answers
Geometry Practice Test Unit 2 Logic, Reasoning and Proof
Geometry Practice Test Unit 2 Logic, Reasoning and Proof Name: Date: Pd: Definitions (1-4) 1) Postulate 2) Deductive Reasoning 3) Inverse 4) Counterexample 5) State the hypothesis and conclusion of the
Chapter 2-Reasoning and Proof
Chapter 2-Reasoning and Proof Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Identify the hypothesis and conclusion of this conditional statement: If
Inductive 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
Ch 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:
Unit 2: Logic and Reasoning. start of unit
Unit 2: Logic and Reasoning Prior Unit: Introduction to Geometry Next Unit: Transversals By the end of this unit I will be able to: Skill Self-Rating start of unit Date(s) covered Self-Rating end of unit
If two sides of a triangle are congruent, then it is an isosceles triangle.
1. What is the hypothesis of the conditional statement If two sides of a triangle are congruent, then it is an isosceles triangle. two sides of a triangle are congruent it is an isosceles triangle If two
Over Lesson 2 3 Identify the hypothesis and conclusion. If 6x 5 = 19, then x = 4. Identify the hypothesis and conclusion. A polygon is a hexagon if it
Five-Minute Check (over Lesson 2 3) Then/Now New Vocabulary Example 1: Real-World Example: Inductive and Deductive Reasoning Key Concept: Law of Detachment Example 2: Law of Detachment Example 3: Judge
Chapter 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
Geometry 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
Common Core Readiness Assessment 3
ommon ore Readiness ssessment 3 1. Which shape is not matched with its correct net? 3. In the figure below, you cannot assume that 9. X Y Z P T W XPT and ZPW are vertical angles. m YPW = 110 Points T,
Q1: Lesson 6 Parallel Lines Handouts Page 1
6.1 Warmup Per ate Instructions: Justify each statement using your Vocab/Theorems ook. If!! =!! and!! = 50, then!! = 50. P F S If!" is rotated 180 around point F, then!"!" If!!"# +!!"# = 180, then!"# is
Unit 2: Geometric Reasoning Section 1: Inductive Reasoning
Unit 2: Geometric Reasoning Section 1: Inductive Reasoning Ex #1: Find the next item in the pattern. January, March, May,... Ex #2: Find the next item in the pattern. 7, 14, 21, 28, Ex #3: Find the next
Conditional Statement: Statements in if-then form are called.
Monday 9/21 2.2 and 2.4 Wednesday 9/23 2.5 and 2.6 Conditional and Algebraic Proofs Algebraic Properties and Geometric Proofs Unit 2 Angles and Proofs Packet pages 1-3 Textbook Pg 85 (14, 17, 20, 25, 27,
Name. Period. Teacher
Name Period Teacher MONY TUESY WENESY THURSY FRIY ug 24 25 26 27 28 1 st day Welcome ourse Syllabus alendar Start Powers egin Vocabulary 1 st Six Weeks 2015-2016 Geometry PP 1.1 Identifying points, lines,
Introduction - Geometry
L I F O R N I S T N R S T E S T Introduction - The following released test questions are taken from the Standards Test. This test is one of the alifornia Standards Tests administered as part of the Standardized
DISCOVERING GEOMETRY Over 6000 years ago, geometry consisted primarily of practical rules for measuring land and for
Name Period GEOMETRY Chapter One BASICS OF GEOMETRY Geometry, like much of mathematics and science, developed when people began recognizing and describing patterns. In this course, you will study many
2) 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
Chapter 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
Geometry 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)
2.5 Justify a Number Trick
Investigating g Geometry ACTIVITY Use before Lesson 2.5 2.5 Justify a Number Trick MATERIALS paper pencil QUESTION How can you use algebra to justify a number trick? Number tricks can allow you to guess
Chapter 6. Worked-Out Solutions AB 3.61 AC 5.10 BC = 5
27. onstruct a line ( DF ) with midpoint P parallel to and twice the length of QR. onstruct a line ( EF ) with midpoint R parallel to and twice the length of QP. onstruct a line ( DE ) with midpoint Q
p, p or its negation is true, and the other false
Logic and Proof In logic (and mathematics) one often has to prove the truthness of a statement made. A proposition is a (declarative) sentence that is either true or false. Example: An odd number is prime.