If two sides of a triangle are congruent, then it is an isosceles triangle.

Similar documents
right angle an angle whose measure is exactly 90ᴼ

Chapter 2 Review. Short Answer Determine whether the biconditional statement about the diagram is true or false.

2-6 Geometric Proof. Warm Up Lesson Presentation Lesson Quiz. Holt Geometry

Geometry Chapter 2 Practice Free Response Test

7. m JHI = ( ) and m GHI = ( ) and m JHG = 65. Find m JHI and m GHI.

Postulates, Definitions, and Theorems (Chapter 4)

Chapter 2. Reasoning and Proof

Chapter 2-Reasoning and Proof

HW Set #1: Problems #1-8 For #1-4, choose the best answer for each multiple choice question.

Chapter 2. Reasoning and Proof

Test Review: Geometry L2 Period 1 and 3 Test Date: Friday November 6

Geometry Note Cards EXAMPLE:

Geometry. Unit 2- Reasoning and Proof. Name:

Over Lesson 2 7 Justify the statement with a property of equality or a property of congruence. Justify the statement with a property of equality or a

Geometry First Semester Exam Review

CME Project, Geometry 2009 Correlated to: Kentucky Core Content for Mathematics Assessment 4.1 (High School, Grade 11)

2-1 Using Inductive Reasoning to Make Conjectures

Prentice Hall Intermediate Algebra, 5th Edition 2009 (Martin-Gay)

Prentice Hall PreCalculus, 3rd Edition 2007, (Blitzer)

Geometry - Chapter 2 Earn-A-Try Test

Chapter 2. Worked-Out Solutions Quiz (p. 90)

The following statements are conditional: Underline each hypothesis and circle each conclusion.

Chapter 03 Test. 1 Complete the congruence statement. A B C D. 2 Complete the congruence statement. A B C D

Concept: Solving Equations

Chapter 2. Reasoning and Proof

2.2 Day 1: Date: Geometry

Five-Minute Check (over Lesson 2 7) CCSS Then/Now Postulate 2.10: Protractor Postulate Postulate 2.11: Angle Addition Postulate Example 1: Use the

2.1 If Then Statements

Name: Class: Date: B. The twentieth term is A. D. There is not enough information.

Chapter 2: Geometric Reasoning Review

Chapter 6 Summary 6.1. Using the Hypotenuse-Leg (HL) Congruence Theorem. Example

ACTIVITY 15 Continued Lesson 15-2

Chapter 2 Test Review 1. Based on the pattern, what are the next two terms of the sequence? 8, 15, 22, 29,...

Section 2-1. Chapter 2. Make Conjectures. Example 1. Reasoning and Proof. Inductive Reasoning and Conjecture

2) Are all linear pairs supplementary angles? Are all supplementary angles linear pairs? Explain.

NAME DATE PER. 1. ; 1 and ; 6 and ; 10 and 11

Using Definitions and Theorems in Proofs

Geometry Unit 2 Notes Logic, Reasoning and Proof

B C. You try: What is the definition of an angle bisector?

Geometry 1st semester Exam review game questions

HONORS GEOMETRY CHAPTER 2 WORKBOOK

Proofs Practice Proofs Worksheet #2

Write a 2-column or flow chart proof for the following:

Triangle Geometry. Often we can use one letter (capitalised) to name an angle.

Question 1 (3 points) Find the midpoint of the line segment connecting the pair of points (3, -10) and (3, 6).

Homework 10: p.147: 17-41, 45

Geometry Advanced Fall Semester Exam Review Packet -- CHAPTER 1

Geometry Final Review. Chapter 1. Name: Per: Vocab. Example Problems

Cumulative Test. 101 Holt Geometry. Name Date Class

GEOMETRY CHAPTER 2: Deductive Reasoning

Chapter 2 Practice Test

Geometry Unit 2 Notes Logic, Reasoning and Proof

Day 1 Inductive Reasoning and Conjectures

There are seven questions, of varying point-value. Each question is worth the indicated number of points.

Paragraph Proof, Two-Column Proof, Construction Proof, and Flow Chart Proof

Study Guide and Review

6.2: Isosceles Triangles

Name Geometry Common Core Regents Review Packet - 3. Topic 1 : Equation of a circle

2.4 Algebraic and Congruence Properties

3-3 Proving Lines Parallel

National Benchmark Test 1. 1 Which three-dimensional figure does this net produce? Name: Date: Copyright by Pearson Education Page 1 of 13

GEOMETRY. 2.1 Conditional Statements

ALLEN PARK HIGH SCHOOL F i r s t S e m e s t e r R e v i e w

Chapter Review #1-3. Choose the best answer.

Questions. Exercise (1)

2.8 Proving angle relationships cont. ink.notebook. September 20, page 84 page cont. page 86. page 85. Standards. Cont.

Chapter 5 Vocabulary:

Chapter 2: Reasoning and Proof

Foundations of Math 3 -- Proof Practice

NAME DATE PERIOD. Inductive Reasoning and Conjecture. Make a conjecture based on the given information. Draw a figure to illustrate your conjecture.

Inductive Reasoning. Courage is resistance to fear, mastery of fear, not absence of fear. Mark Twain

Using Isosceles and Equilateral Triangles

Study Guide and Review

Review for Geometry Midterm 2015: Chapters 1-5

Chapter 2 Review - Formal Geometry

UNIT 1: SIMILARITY, CONGRUENCE, AND PROOFS. 1) Figure A'B'C'D'F' is a dilation of figure ABCDF by a scale factor of 1. 2 centered at ( 4, 1).

Algebra 1. Predicting Patterns & Examining Experiments. Unit 5: Changing on a Plane Section 4: Try Without Angles

Int. Geometry Unit 2 Test Review 1

Unit 2: Geometric Reasoning Section 1: Inductive Reasoning

ANSWERS STUDY GUIDE FOR THE FINAL EXAM CHAPTER 1

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.

Assignment Assignment for Lesson 6.1

2-6 Algebraic Proof. State the property that justifies each statement. 1. If m 1 = m 2 and m 2 = m 3, then m 1 = m 3. SOLUTION:

Geometry: CBA-I Review

Introduction to Geometric Proof

Algebra II/Geometry Curriculum Guide Dunmore School District Dunmore, PA

CMA Geometry Unit 1 Introduction Week 2 Notes

Honors Geometry Semester Review Packet

2-5 Algebraic Proof. Warm Up Lesson Presentation Lesson Quiz. Holt McDougal Geometry

Conditional statement:

Geometry Practice Midterm

Geometry - Chapter 2 Corrective 1

Name: Date: Period: 1. In the diagram below,. [G.CO.6] 2. The diagram below shows a pair of congruent triangles, with and. [G.CO.

Geometry Unit 2 Notes Logic, Reasoning and Proof

Find the next item in the pattern below. The red square moves in the counterclockwise direction. The next figure is.

UNIT 1 SIMILARITY, CONGRUENCE, AND PROOFS Lesson 9: Proving Theorems About Triangles Instruction

Honors Geometry Mid-Term Exam Review

Unit 1: Introduction to Proof

(b) Follow-up visits: December, May, October, March. (c ) 10, 4, -2, -8,..

1. How many planes can be drawn through any three noncollinear points? a. 0 b. 1 c. 2 d. 3. a cm b cm c cm d. 21.

Transcription:

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 sides of a triangle are congruent then it is an isosceles triangle 2. What is the conclusion of the conditional statement If you act on your impulses, then you will get an equal and opposite reaction. you act on your impulses you will get an equal and opposite reaction If you act on your impulses you do not act on your impulses 3. What is the converse of the conditional statement If you are wise, then you work hard now. If you are not wise, you will not work hard now. If you work hard now, then you are wise. You will not work hard now, if you are not wise. You are wise if and only if you work hard now. 4. What is the inverse of the conditional statement If you are wise, then you work hard now. If you do not work hard now, then you are not wise. If you are not wise, you will not work hard now. You are wise if and only if you work hard now. If you are not wise, then you do not work hard now. 5. According to the transitive property of equality if

6. According to the addition property of equality the next step should be Subtract 2 from both sides of the equation Add 2 on both sides of the equation Multiply both sides of the equation by 2 Addition property does not apply in this equation 7. According to distributive property of equality the next step should be Distributive property does not apply in this equation Subtract 4 from both sides of the equation Multiply left side of the equation by 4 Multiply both sides of the equation by 4 8. Which property of equality is illustrated by the statement, if Distributive property of equality Symmetric property of equality Transitive property of equality Addition property of equality 9. Which property of equality is illustrated by the statement, if Reflexive property of equality Symmetric property of equality Transitive property of equality Substitution property of equality 10. Given the statements : ;. What is the inverse of the statement? If a triangle has two congruent sides, then the base angles are congruent. If the base angles are not congruent, then a triangle does not have two congruent sides. If a triangle does not have two congruent sides, then base angles are not congruent. A triangle has two congruent sides if and only if the base angles are congruent.

11. Given the statements : ;. What is the contrapositive of the statement? If the base angles are not congruent, then a triangle does not have two congruent sides. If a triangle does not have two congruent sides, then base angles are not congruent. A triangle has two congruent sides if and only if the base angles are congruent. If a triangle has two congruent sides, then the base angles are congruent. 12. Which symbolic statement represents the converse of a conditional statement? 13. Which symbolic statement represents the inverse of a conditional statement? 14. Which symbolic statement represents the contrapositve of a conditional statement? 15. Which symbolic statement represents the bi-conditional of a conditional statement? 16. Which bi-conditional statement is true. Two angles are congruent if and only if they are vertical angles. Two angles are supplementary if and only if sum of the angles 180 degrees. Points are collinear if and only if they are coplanar. Two angles are supplementary if and only if sum of the angles 90 degrees.

17. Which reason justifies the statement below? Addition property of equality Subtraction property of equality Transitive property of equality Substitution property of equality 18. Which reason justifies the statement below? Angle addition postulate Definition of angle bisector Definition of vertical angles Substitution property of equality 19. Which reason justifies the statement below? Angle addition postulate Definition of angle bisector Definition of vertical angles Substitution property of equality 20. Which reason justifies the statement below? Definition of complementary Definition of angle bisector Definition of vertical angles Definition of supplementary

Questions 21-25 Select the correct statements that provide logical proof. 21. Which reason justifies the statement the proof? Statement Given Reason Complement theorem 21 Congruent Complements Theorem Definition of complementary Definition of angle bisector Definition of vertical angles Definition of supplementary 22. Which reason justifies the statement the proof?

Statement Given Reason Definition of complementary Complement theorem Definition of congruence 22 Definition of complementary Def. of Supplementary Def. of Complementary Addition property of equality Substitution property of equality 23-25. Which reason justifies for each step in the proof? Statement Given 23 Reason 24 25 Multiplication property of equality Subtraction property of equality Division property of equality Distributive property of equality e. Addition property of equality

2024 © sciencedocbox.com Privacy Policy | Terms of Service | Feedback