2. If a rectangle has four sides the same length, then it is a square. 3. If you do not study, then you do not earn good grades.
|
|
- Jeffery Blankenship
- 5 years ago
- Views:
Transcription
1 Name: Period: Geometry Unit 2: Reasoning and Proof Homework Section 2.1: Conditional and Biconditional Statements Write the converse of each conditional. 1. If you eat spinach, then you are strong. 2. If a rectangle has four sides the same length, then it is a square. 3. If you do not study, then you do not earn good grades. Write the converse of each statement. If the converse is true, write true; if it is not true, provide a counterexample. 4. If x - 4 = 22, then x = If x > 0, then x > If m is positive, then m 2 is positive. 7. If y = 3, then 2y - 1 = If point A is in the first quadrant of a coordinate grid, then x > If two lines have equal slopes, then the lines are parallel. 10. If you are a twin, then you have a sibling. Each conditional statement is true. Consider each converse. If the converse is true, combine the statements and write them as a biconditional. 11. If two angles have the same measure, then they are congruent. 12. If 2x - 5 = 11, then x = If n = 17, then n = If a figure has eight sides, then it is an octagon. Write the two conditional statements that make up each biconditional. 15. A whole number is a multiple of 5 if and only if its last digit is either a 0 or a Two lines are perpendicular if and only if they intersect to form four right angles. 17. You live in Texas if and only if you live in the largest state in the contiguous United States. REVIEW: Draw a diagram to represent each word collinear points 2. Opposite rays EA and EB 3. Two adjacent and congruent angles
2 Section 2.2: Deductive and Inductive Reasoning Use the Law of Detachment to draw a conclusion. 1. If the measures of two angles have a sum of 90, then the angles are complementary. A + B = If the football team wins on Friday night, then practice is canceled for Monday. The football team won by 7 points on Friday night. 3. If a triangle has one 90 angle, then the triangle is a right triangle. In DEF, E = 90. Use the Law of Syllogism to draw a conclusion. 4. If you liked the movie, then you saw a good movie. If you saw a good movie, then you enjoyed yourself. 5. If two lines are not parallel, then they intersect. If two lines intersect, then they intersect at a point. 6. If you vacation at the beach, then you must like the ocean. If you like the ocean, then you will like Florida. If possible, use the Law of Detachment to draw a conclusion. If not possible, write not possible. 7. If Robbie wants to save money to buy a car, he must get a part-time job. Robbie started a new job yesterday at a grocery store. 8. If a person lives in Omaha, then he or she lives in Nebraska. Tamika lives in Omaha. 9. If two figures are congruent, their areas are equal. The area of ABCD equals the area of PQRS. Use the Law of Detachment and the Law of Syllogism to draw conclusions from the following statements. 10. If it is raining, the temperature is greater than 32 F. If the temperature is greater than 32 F, then it is not freezing outside. It is raining. 11. If you live in Providence, then you live in Rhode Island. If you live in Rhode Island, then you live in the smallest state in the United States. Shannon lives in Providence. 12. If it does not rain, the track team will have practice. If the track team has practice, the team members will warm up by jogging two miles. It does not rain on Thursday. REVIEW: A B C AB = 3x + 1 BC = 2x 3 AC = Solve for x. 2. Find AB. 3. Find BC.
3 Section 2.3: Properties of Equality and Congruency Use the given property to complete each statement. 1. Symmetric Property of Equality If MN = UT, then?. 2. Division Property of Equality If 4m QWR = 120, then?. 3. Transitive Property of Equality If SB = VT and VT = MN, then?. 4. Addition Property of Equality If y - 15 = 36, then?. 5. Reflexive Property of Congruence JL? Name the property that justifies each statement. 6. If m G = 35 and m S = 35, then m G m S. 7. If 10x + 6y = 14 and x = 2y, then 10(2y) + 6y = If TR = MN and MN = VW, then TR = VW. 9. If JK LM, then LM JK. 10. If Q S and S P, then Q P. Give a reason for each step Fill in the missing information. Solve for x and justify each step REVIEW: RWS = 9x + 1, RWT = 4(5x 1), QWT = Find the value of x. Q R 2. Find m RWS S 3. Find m SWT W T 4. Find m RWT 5. Find m QWR
4 Section 2.4: Inverses and Contrapositives Write the negation of each statement. 1. The angle measure is Tina has her driver s license. 3. The figure has eight sides. 4. The restaurant is not open on Sunday. 5. ABC is not congruent to XYZ. 6. m Y > 50 Write (a) the inverse and (b) the contrapositive of each statement. Give the truth value of each. 7. If two triangles are congruent, then their corresponding angles are congruent. 8. If you live in Toronto, then you live in Canada. Write the converse, inverse, and contrapositive for each conditional. 9. If you live in Atlantis, then you need a snorkel. 10. If the moon is full, then the owls are out. 11. Two lines intersect at exactly one point. 12. If you see spots in front of your eyes, then you are looking at a leopard. REVIEW: T U V 7x + 3 8x - 8 S W 1. Solve for x 2. Find m TVS 3. Find m UVW 4. Find m TVU 5. Find m SVW
5 Section 2.5: Proving Angles Congruent Identify the two statements that contradict each other. 1. I. AB and AC are opposite rays 2. I. AB AC II. CAB is a straight angle II. B is obtuse III. Points A, B, and C define a plane III. ABC is isosceles 3. I. AB CD II. AB CD III. AB CD Find the values of the variables Write three conclusions that can be drawn from each figure Given PQ QS and QS ST, PROVE PQ = ST. REVIEW: Draw each of the following triangles. Write impossible if you cannot. 1. Isosceles acute 2. Right scalene 3. Isosceles obtuse 4. Right isosceles
6 Unit 2 Review Write the converse, inverse, and the contrapositive of each statement. 1. If two angles are vertical, then they are congruent. 2. If figures are similar, then their side lengths are proportional. 3. If a car is blue, then it has no doors. Write a conditional for each statement and if possible a biconditional. 4. A quadrilateral has four sides. 5. The sum of the angles in a triangle is 180. Write the negation of each statement. 6. Two angles are congruent. 7. The angle is not right. 8. The figure is a triangle. Identify the two statements that contradict each other. 9. I. PQR is equilateral. II. PQR is a right triangle. III. PQR is isosceles. III. r m 11. I. Each of the two items that Val bought costs more than $10. II. Val spent $34 for the two items. III. Neither of the two items that Val bought costs more than $ I. Line r and m are skew. II. Line r and m do not intersect. Choose the correct vocabulary term to complete each sentence. 12. To write a(n) (indirect proof, negation), you start by assuming that the opposite of what you want to prove is true. 13. In a conditional statement, the part that directly follows if is the. 14. If a=b, and b=c, then a=c is an example of the property of congruency. 15. When a conditional and its converse are true, they may be written as a single true statement called a. 16. The of a conditional switches the hypothesis and the conclusion. 17. The part of a conditional statement that follows then is the. 18. The of a statement has the opposite truth value. 19. A(n) is the negation and interchanging of the hypothesis and conclusion. 20. Reasoning logically from given statements to form a conclusion is. 21. A statement that you prove true is a. Find the value of each variable and all angle measures
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
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 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 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 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 informationUnit 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
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 informationGeometry Unit 1 Segment 3 Practice Questions
Name: Class: _ Date: _ Geometry Unit 1 Segment 3 Practice Questions Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Based on the pattern, what are the
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 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 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 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 informationChapter 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.
More informationReasoning 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
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 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 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 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 informationParallel 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
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 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 information1. 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
More informationGeometry 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
More informationLOGIC. 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
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. 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.
More informationChapter 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
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 informationthe plant on day 10 of the experiment
Lesson 2-1 Patterns Find the next two terms in each sequence. 1. 12, 17, 22, 27, 32,... 2. 1, 1.1, 1.11, 1.111, 1.1111,... 3. 5000, 1000, 200, 40,... 4. 1, 12, 123, 1234,... 5. 3, 0.3, 0.03, 0.003,...
More informationName: 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
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 informationG E O M E T R Y CHAPTER 2 REASONING AND PROOF. Notes & Study Guide CHAPTER 2 NOTES
G E O M E T R Y CHAPTER 2 REASONING AND PROOF Notes & Study Guide 2 TABLE OF CONTENTS CONDITIONAL STATEMENTS... 3 DEFINTIONS & BICONDITIONAL STATEMENTS... 6 DEDUCTIVE REASONING... 9 REASONING WITH PROPERTIES
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 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 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
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 informationOver 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
More informationName: 2015 Midterm Review Period: Date:
GEOMETRY Name: 2015 Midterm Review Period: Date: To be prepared for your midterm, you will need to PRACTICE PROBLEMS and STUDY TERMS from the following chapters. Use this guide to help you practice. UNIT
More informationGeometry - 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
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 informationĚ /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\
More informationCumulative Test. 101 Holt Geometry. Name Date Class
Choose the best answer. 1. Which of PQ and QR contains P? A PQ only B QR only C Both D Neither. K is between J and L. JK 3x, and KL x 1. If JL 16, what is JK? F 7 H 9 G 8 J 13 3. SU bisects RST. If mrst
More informationFive-Minute Check (over Lesson 2 3) Then/Now New Vocabulary Example 1: Real-World Example: Inductive and Deductive Reasoning Key Concept: Law of
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
More informationTo use indirect reasoning to write proofs. Game A 1 2. Key Concept Writing an Indirect Proof
5-5 Indirect Common Core State Standards Extends G-CO.C.10 Prove theorems about triangles... MP 1, MP 3, MP Objective To use indirect reasoning to write proofs The goal of this game is to fill in the empty
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 informationLogical Reasoning. (An Introduction to Geometry) MATHEMATICS Grade 8
Logical Reasoning (An Introduction to Geometry) MATHEMATICS Grade 8 If a number is even, then it is divisible by 2 The statement above is written in conditional form, or in if-then form. A conditional
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 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 informationReady 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
More informationGeometry 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
More informationHonors Geometry Mid-Term Exam Review
Class: Date: Honors Geometry Mid-Term Exam Review Multiple Choice Identify the letter of the choice that best completes the statement or answers the question. 1. Classify the triangle by its sides. The
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 informationChapter 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
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 informationUnit 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
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 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 information7. 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
More informationGeometry Cumulative Review
Geometry Cumulative Review Name 1. Find a pattern for the sequence. Use the pattern to show the next term. 1, 3, 9, 27,... A. 81 B. 45 C. 41 D. 36 2. If EG = 42, find the value of y. A. 5 B. C. 6 D. 7
More informationIf 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
More informationGeometry Semester 1 Exam Released
1. Use the diagram. 3. In the diagram, mlmn 54. L 5 1 4 3 2 Which best describes the pair of angles 1 and 4? (A) complementary (B) linear pair (C) supplementary (D) vertical 2. Use the diagram. E F A B
More informationProvide (write or draw) a counterexample to show that the statement is false.
Geometry SOL G.1 G.3a Study Guide Name: Date: Block: SHOW ALL WORK. Use another piece of paper as needed. SECTION 1: G.1 1. Provide (write or draw) a counterexample to show that the statement is false.
More information2.2 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?
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 informationFoundations of Math 3 -- Proof Practice
Foundations of Math 3 -- Proof Practice Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Identify the hypothesis and conclusion of this conditional statement:
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. 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
More informationMidpoint M of points (x1, y1) and (x2, y2) = 1 2
Geometry Semester 1 Exam Study Guide Name Date Block Preparing for the Semester Exam Use notes, homework, checkpoints, quizzes, and tests to prepare. If you lost any of the notes, reprint them from my
More informationUnit 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
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 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 informationChapter 2. Chapter 2 Section 2, pages Chapter 2 Section 3, pages
Geometry Unit 2 Targets & Info Name: This Unit s theme Reasoning and Proof September 9 September 30 (Approximate Time for Test) Use this sheet as a guide throughout the chapter to see if you are getting
More informationSUBAREA I MATHEMATIC REASONING AND COMMUNICATION Understand reasoning processes, including inductive and deductive logic and symbolic logic.
SUBAREA I MATHEMATIC REASONING AND COMMUNICATION 0001. Understand reasoning processes, including inductive and deductive logic and symbolic logic. Conditional statements are frequently written in "if-then"
More informationWarm Up Lesson Presentation Lesson Quiz. Holt McDougal Geometry
2-4 Warm Up Lesson Presentation Lesson Quiz Geometry Warm Up Write a conditional statement from each of the following. 1. The intersection of two lines is a point. If two lines intersect, then they intersect
More information1) Use the figure below to name the following figures: 2) Identify the plane containing D, E, and C. 3) Two lines cross at. 4) Two planes cross at
Geometry Semester 1 Final Exam Mixed Review Name: 1) Use the figure below to name the following figures: 2) Identify the plane containing D, E, and C. a) line b) ray c) Opposite rays d) Only adjacent angles
More informationChapter 4 Answers. Reteaching Each angle is
Chapter 4 Answers Alternative Activity for 4-2 1. Check students work. 2. Two sides of ABC are radii of the circle. 3. AB and AC should be equal. m ABC and m ACB should be equal. 4. The measures change,
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 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 informationGeometry Essentials ( ) Midterm Review. Chapter 1 For numbers 1 4, use the diagram below. 1. Classify as acute, obtuse, right or straight.
Geometry Essentials (2015-2016) Midterm Review Name: Chapter 1 For numbers 1 4, use the diagram below. 1. Classify as acute, obtuse, right or straight. 2. is a linear pair with what other angle? 3. Name
More information2-3 Conditional Statements. Identify the hypothesis and conclusion of each conditional statement. 1. If today is Friday, then tomorrow is Saturday.
Identify the hypothesis and conclusion of each conditional statement. 1. If today is Friday, then tomorrow is Saturday. 2. H: today is Friday; C: tomorrow is Saturday. H: 2x + 5 > 7; C: x > 1 3. If two
More informationGeometry 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
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 information0610ge. Geometry Regents Exam The diagram below shows a right pentagonal prism.
0610ge 1 In the diagram below of circle O, chord AB chord CD, and chord CD chord EF. 3 The diagram below shows a right pentagonal prism. Which statement must be true? 1) CE DF 2) AC DF 3) AC CE 4) EF CD
More information*Please do not write on these worksheets. Show all diagrams, work, and answers on your own piece of paper*
Geometry Homework Worksheets: Chapter 1 *Please do not write on these worksheets. Show all diagrams, work, and answers on your own piece of paper* HW#1: Problems #1-10 For #1-4, choose the best answer
More informationPre-AP Geometry Chapter 2 Test Review Important Vocabulary: Conditional Converse Hypothesis Conclusion Segment Addition
1 Pre-AP Geometry Chapter 2 Test Review Important Vocabulary: Conditional Converse Hypothesis Conclusion Segment Addition Midpoint Postulate Right Angle Opposite Rays Angle Bisector Angle Addition Complementary
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 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 informationConditional 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,
More informationChapter 6 Summary 6.1. Using the Hypotenuse-Leg (HL) Congruence Theorem. Example
Chapter Summary Key Terms corresponding parts of congruent triangles are congruent (CPCTC) (.2) vertex angle of an isosceles triangle (.3) inverse (.4) contrapositive (.4) direct proof (.4) indirect proof
More informationTriangle Congruence and Similarity Review. Show all work for full credit. 5. In the drawing, what is the measure of angle y?
Triangle Congruence and Similarity Review Score Name: Date: Show all work for full credit. 1. In a plane, lines that never meet are called. 5. In the drawing, what is the measure of angle y? A. parallel
More information2. In ABC, the measure of angle B is twice the measure of angle A. Angle C measures three times the measure of angle A. If AC = 26, find AB.
2009 FGCU Mathematics Competition. Geometry Individual Test 1. You want to prove that the perpendicular bisector of the base of an isosceles triangle is also the angle bisector of the vertex. Which postulate/theorem
More informationChapter 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
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 information2.3 Deductive Reasoning Review NCSCOS: (2.01, 2.02)
2.3 Deductive Reasoning Review 2.1-2.2 NCSCOS: (2.01, 2.02) Example If the sun is out, then the weather is good. p is the hypothesis: the sun is out q is the conclusion: the weather is good Conditional
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 CP Semester 1 Review Packet. answers_december_2012.pdf
Geometry CP Semester 1 Review Packet Name: *If you lose this packet, you may print off your teacher s webpage. If you can t find it on their webpage, you can find one here: http://www.hfhighschool.org/assets/1/7/sem_1_review_packet
More informationGeometry 1st semester Exam review game questions
Class: Date: Geometry 1st semester Exam review game questions Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Name the Property of Equality that justifies
More informationG.GPE.B.4: Quadrilaterals in the Coordinate Plane 2
Regents Exam Questions www.jmap.org Name: 1 In square GEOM, the coordinates of G are (2, 2) and the coordinates of O are ( 4,2). Determine and state the coordinates of vertices E and M. [The use of the
More informationtfrwsnyttareparal ~u#sntne
0 f Converse tfrwsnyttareparal ~u#sntne * Types of statements: Conditional Converse Biconditional Negation - If. - I then statement - Statement in which the If and then are switched - when a conditional
More informationInt. 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