Chapter 2 Practice Test
|
|
|
- Vivian Dalton
- 5 years ago
- Views:
Transcription
1 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 What is the conclusion of the following conditional? A number is divisible by 2 if the number is even. 3. Identify the hypothesis and conclusion of this conditional statement: If two lines intersect at right angles, then the two lines are perpendicular. 4. Write this statement as a conditional in if-then form: All triangles have three sides. 5. What is the converse of the following conditional? If a point is in the fourth quadrant, then its coordinates are negative. 6. For the following true conditional statement, write the converse. If the converse is also true, combine the statements as a biconditional. If x = 7, then x 2 = Is the following definition of dog reversible? If yes, write it as a true biconditional. A dog is a mammal. 1
2 Name: ID: A 8. What is the value of x? Identify the missing justifications. m PQR = x 5, m SQR = x 7, and m PQS =100. m PQR +m SQR = m PQS x 5 + x 7 = 100 2x 12 = 100 2x = 112 x = 56 a. b. Substitution Property c. Simplify d. e. Division Property of Equality 9. BD bisects ABC. m ABC = 7x. m ABD = 3x+36. Find m DBC. 10. Name the Property of Equality that justifies this statement: If l = m, then m=l. Use the given property to complete the statement. 11. Transitive Property of Congruence If CD EFandEF GH,then. 12. Multiplication Property of Equality If 5x 9=36, then. 13. Substitution Property of Equality If y= 5and7x+y=11, then. 2
3 Name: ID: A 14. Name the Property of Congruence that justifies the statement: If MN LK,thenLK MN. 15. Name the Property of Congruence that justifies this statement: If A Band B C, then A C. 16. Complete the two-column proof. Given: 12x 6y=5;x= 5 Prove: 65 6 =y 12x 6y=5;x= y=5 6y=65 y= a. b. c. d. =y e. 17. Complete the two-column proof. Given: x 5 +9=11 Prove: x=10 x +9=11 a. 5 x 5 =2 b. x=10 c. 3
4 Name: ID: A 18. What is the value of x? 19. What is the value of x? 20. Find the values of x and y. 4
5 ID: A Chapter 2 Practice Test Answer Section 1. ANS: 12 PTS: 1 DIF: L2 REF: 2-1 Patterns and Inductive Reasoning OBJ: To use inductive reasoning to make conjectures NAT: CC G.CO.9 CC G.CO.10 CC G.CO.11 G.5.a TOP: 2-1 Problem 5 Finding a Counterexample KEY: conjecture counterexample 2. ANS: The number is divisible by 2. PTS: 1 DIF: L3 REF: 2-2 Conditional Statements OBJ: To recognize conditional statements and their parts NAT: CC G.CO.9 CC G.CO.10 CC G.CO.11 G.5.a TOP: 2-2 Problem 1 Identifying the Hypothesis and the Conclusion KEY: conditional statement conclusion 3. ANS: Hypothesis: Two lines intersect at right angles. Conclusion: The two lines are perpendicular. PTS: 1 DIF: L3 REF: 2-2 Conditional Statements OBJ: To recognize conditional statements and their parts NAT: CC G.CO.9 CC G.CO.10 CC G.CO.11 G.5.a TOP: 2-2 Problem 1 Identifying the Hypothesis and the Conclusion KEY: conditional statement hypothesis conclusion 4. ANS: If a figure is a triangle, then it has three sides. PTS: 1 DIF: L2 REF: 2-2 Conditional Statements OBJ: To recognize conditional statements and their parts NAT: CC G.CO.9 CC G.CO.10 CC G.CO.11 G.5.a TOP: 2-2 Problem 2 Writing a Conditional KEY: hypothesis conclusion conditional statement 5. ANS: If the coordinates of a point are negative, then the point is in the fourth quadrant. PTS: 1 DIF: L2 REF: 2-2 Conditional Statements OBJ: To write converses, inverses, and contrapositives of conditionals NAT: CC G.CO.9 CC G.CO.10 CC G.CO.11 TOP: 2-2 Problem 4 Writing and Finding Truth Values of Statements KEY: conditional statement converse of a conditional 1
6 ID: A 6. ANS: If x 2 = 49, then x = 7. False PTS: 1 DIF: L3 REF: 2-3 Biconditionals and Definitions OBJ: To write biconditionals and recognize good definitions NAT: CC G.CO.9 CC G.CO.10 CC G.CO.11 G.1.c TOP: 2-3 Problem 1 Writing a Biconditional KEY: conditional statement converse of a conditional biconditional statement 7. ANS: The reverse is false. PTS: 1 DIF: L3 REF: 2-3 Biconditionals and Definitions OBJ: To write biconditionals and recognize good definitions NAT: CC G.CO.9 CC G.CO.10 CC G.CO.11 G.1.c TOP: 2-3 Problem 3 Writing a Definition as a Biconditional KEY: biconditional statement 8. ANS: Angle Addition Postulate; Addition Property of Equality TOP: 2-5 Problem 1 Justifying Steps When Solving an Equation KEY: Properties of Equality Angle Addition Postulate deductive reasoning 9. ANS: 252 PTS: 1 DIF: L4 REF: 2-5 Reasoning in Algebra and Geometry TOP: 2-5 Problem 1 Justifying Steps When Solving an Equation KEY: Properties of Congruence Properties of Equality deductive reasoning 10. ANS: Symmetric Property PTS: 1 DIF: L2 REF: 2-5 Reasoning in Algebra and Geometry KEY: Properties of Equality Symmetric Property 11. ANS: CD GH KEY: Properties of Congruence Transitive Property 2
7 ID: A 12. ANS: 5x=324 KEY: Properties of Equality 13. ANS: 7x 5=11 KEY: Properties of Equality 14. ANS: Symmetric Property PTS: 1 DIF: L2 REF: 2-5 Reasoning in Algebra and Geometry KEY: Properties of Congruence Symmetric Property 15. ANS: Transitive Property PTS: 1 DIF: L2 REF: 2-5 Reasoning in Algebra and Geometry KEY: Properties of Congruence Transitive Property 16. ANS: a. Given b. Substitution Property c. Addition Property of Equality d. Division Property of Equality e. Symmetric Property of Equality TOP: 2-5 Problem 3 Writing a Two-Column Proof KEY: Properties of Equality Proof Two-column Proof 3
8 ID: A 17. ANS: a. Given b. Subtraction Property of Equality c. Multiplication Property of Equality PTS: 1 DIF: L2 REF: 2-5 Reasoning in Algebra and Geometry TOP: 2-5 Problem 3 Writing a Two-Column Proof KEY: Properties of Equality proof Two-column Proof 18. ANS: 16 PTS: 1 DIF: L3 REF: 2-6 Proving Angles Congruent OBJ: To prove and apply theorems about angles NAT: CC G.CO.9 G.5.b TOP: 2-6 Problem 1 Using the Vertical Angles Theorem KEY: vertical angles Vertical Angles Theorem 19. ANS: 60 PTS: 1 DIF: L2 REF: 2-6 Proving Angles Congruent OBJ: To prove and apply theorems about angles NAT: CC G.CO.9 G.5.b TOP: 2-6 Problem 1 Using the Vertical Angles Theorem KEY: vertical angles Vertical Angles Theorem 20. ANS: x = 15, y = 17 PTS: 1 DIF: L4 REF: 2-6 Proving Angles Congruent OBJ: To prove and apply theorems about angles NAT: CC G.CO.9 G.5.b TOP: 2-6 Problem 1 Using the Vertical Angles Theorem KEY: Vertical Angles Theorem vertical angles supplementary angles multi-part question 4
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
Geometry 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
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 CP - Ch. 4 Review
Geometry CP - Ch. 4 Review 1. If, which of the following can you NOT conclude as being true? A. B. C. D. 2. A. B. C. D. 3. Given and, find the length of QS and TV. A. 7 B. 25 C. 8 D. 2 4. The two triangles
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
Foundations 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:
Geometry Chapters 1 & 2 Test
Class: Date: Geometry Chapters 1 & 2 Test 1. How many cubes would you use to make the structure below? A. 15 cubes B. 16 cubes C. 17 cubes D. 18 cubes 2. What are the names of three planes that contain
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
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
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
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 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
Name: Date: Period: ID: REVIEW CH 1 TEST REVIEW. 1. Sketch and label an example of each statement. b. A B. a. HG. d. M is the midpoint of PQ. c.
Name: Date: Period: ID: REVIEW CH 1 TEST REVIEW 1 Sketch and label an example of each statement a HG b A B c ST UV d M is the midpoint of PQ e Angles 1 and 2 are vertical angles f Angle C is a right angle
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:
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
Geometry Chapter 3 & 4 Test
Class: Date: Geometry Chapter 3 & 4 Test Use the diagram to find the following. 1. What are three pairs of corresponding angles? A. angles 1 & 2, 3 & 8, and 4 & 7 C. angles 1 & 7, 8 & 6, and 2 & 4 B. angles
right 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
Geometry Midterm REVIEW
Name: Class: Date: ID: A Geometry Midterm REVIEW Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Given LM = MP and L, M, and P are not collinear. Draw
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,
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
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 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
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?
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
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
Unit 1: Introduction to Proof
Unit 1: Introduction to Proof Prove geometric theorems both formally and informally using a variety of methods. G.CO.9 Prove and apply theorems about lines and angles. Theorems include but are not restricted
Geometry Chapter 1-2 Exam
Name: Class: Date: ID: A Geometry Chapter 1-2 Exam Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Based on the pattern, what is the next figure in the
(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
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
Chapter 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
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
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
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
Geometry 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
2.8 Proving angle relationships cont. ink.notebook. September 20, page 84 page cont. page 86. page 85. Standards. Cont.
2.8 Proving angle relationships cont. ink.notebook page 84 page 83 2.8 cont. page 85 page 86 Lesson Objectives Standards Lesson Notes 2.8 Proving Angle Relationships Cont. Press the tabs to view details.
Geometry Midterm Review 18-19
Class: Date: Geometry Midterm Review 18-19 Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Find the length of BC. a. BC = 7 c. BC = 7 b. BC = 9 d. BC =
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
AFM Review Test Review
Name: Class: Date: AFM Review Test Review Multiple Choice Identify the choice that best completes the statement or answers the question. What are the solutions of the inequality?. q + (q ) > 0 q < 3 q
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
Write a 2-column or flow chart proof for the following:
Proofs Study Guide Write a 2-column or flow chart proof for the following: If 6 = a + 2, ten a = 16. 4 Write a 2-column or flow chart proof for the following: If 9x 7 = 7, ten x = 0. Write a 2-column or
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)
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
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 Regents Practice Midterm
Class: Date: Geometry Regents Practice Midterm Multiple Choice Identify the choice that best completes the statement or answers the question. 1. ( points) What is the equation of a line that is parallel
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 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 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
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
2, 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)
Say it with Symbols - Unit Test Review Shet
Name: Class: Date: ID: A Say it with Symbols - Unit Test Review Shet Short Answer 1. What does it mean to say that two algebraic expressions are equivalent? Evaluate the expression for the given value
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
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
Algebra 2 Matrices. Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Find.
Algebra 2 Matrices Review Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Find. Evaluate the determinant of the matrix. 2. 3. A matrix contains 48 elements.
Algebra 1, Absolute Value Functions Review
Name: Class: Date: ID: A Algebra 1, Absolute Value Functions Review 3.7.1: I can solve absolute value equations. 1. (1 point) x + 10 = 1 2. (1 point) Starting from 1.5 miles away, a car drives towards
GH Chapter 2 Test Review-includes Constructions
Name: Class: Date: Show All Work. Test will include 2 proofs from the proof practice worksheet assigned week of 9/8. GH Chapter 2 Test Review-includes Constructions ID: A 1. What is the value of x? State
1. Based on the pattern, what are the next two terms of the sequence?,... A. C. B. D.
Semester Exam I / Review Integrated Math II 1. Based on the pattern, what are the next two terms of the sequence?,... B. D. 2. Alfred is practicing typing. The first time he tested himself, he could type
Conditional statement:
Conditional statement: Hypothesis: Example: If the sun is shining, then it must be daytime. Conclusion: Label the hypothesis and conclusion for each of the following conditional statements: 1. If a number
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
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
Name: 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
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
2.1 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,
Geometry M1: Unit 3 Practice Exam
Class: Date: Geometry M1: Unit 3 Practice Exam Short Answer 1. What is the value of x? 2. What is the value of x? 3. What is the value of x? 1 4. Find the value of x. The diagram is not to scale. Given:
Disproving Conjectures with Counterexamples
Disproving Conjectures with Counterexamples Consider the simple conjecture given below. If two lines are both intersected by a transversal, then they are parallel. This conjecture is false: two lines do
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
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
ACTIVITY 15 Continued Lesson 15-2
Continued PLAN Pacing: 1 class period Chunking the Lesson Examples A, B Try These A B #1 2 Example C Lesson Practice TEACH Bell-Ringer Activity Read the introduction with students and remind them of the
2-5 Algebraic Proof. Warm Up Lesson Presentation Lesson Quiz. Holt McDougal Geometry
2-5 Algebraic Proof Warm Up Lesson Presentation Lesson Quiz Geometry Warm Up Solve each equation. 1. 3x + 5 = 17 4. x = 4 2. r 3.5 = 8.7 r = 12.2 3. 4t 7 = 8t + 3 t = 5 2 n = 38 5. 2(y 5) 20 = 0 y = 15
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..
Geometry 21 - More Midterm Practice
Class: Date: Geometry 21 - More Midterm Practice 1. What are the names of three planes that contain point A? 6. If T is the midpoint of SU, what are ST, TU, and SU? A. ST = 7, TU = 63, and SU = 126 B.
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:
Mathematics 220 Homework 4 - Solutions. Solution: We must prove the two statements: (1) if A = B, then A B = A B, and (2) if A B = A B, then A = B.
1. (4.46) Let A and B be sets. Prove that A B = A B if and only if A = B. Solution: We must prove the two statements: (1) if A = B, then A B = A B, and (2) if A B = A B, then A = B. Proof of (1): Suppose
2.4 Algebraic and Congruence Properties
2.4 Algebraic and Congruence Properties Learning Objectives Understand basic properties of equality and congruence. Solve equations and justify each step in the solution. Use a 2-column format to prove
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.
![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.](/thumbs/78/77420594.jpg "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.")
Name: Date: Period: Directions: Read each question carefully and choose the best answer for each question. You must show LL of your work to receive credit. 1. In the diagram below,. [G.CO.6] Which statement
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).
1) Figure A'B'C'D'F' is a dilation of figure ABCDF by a scale factor of 1. 2 centered at ( 4, 1). The dilation is Which statement is true? A. B. C. D. AB B' C' A' B' BC AB BC A' B' B' C' AB BC A' B' D'
Alg 1B Chapter 7 Final Exam Review
Name: Class: Date: ID: A Alg B Chapter 7 Final Exam Review Please answer all questions and show your work. Simplify ( 2) 4. 2. Simplify ( 4) 4. 3. Simplify 5 2. 4. Simplify 9x0 y 3 z 8. 5. Simplify 7w0
Writing: 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
Geometry Voic Mr. R. and Mr. K
2.1 Using Inductive Reasoning to Make Conjectures Learning Goal: Use inductive reasoning to identify patterns, make conjectures and find counterexamples to disprove conjectures. Video: http://player.discoveryeducation.com/index.cfm?guidassetid=b1b5f95d-f72e-4d18-b220-ff73204e9a74
Algebra 1a Final Exam Review
Algebra 1a Final Exam 2016-2017 Review Short Answer Graph the inequality. 1. x < 1 2. Solve the inequality. Then graph your solution. 3. 4. 5. 5 8 v < 7 5 6. 7. 8. 10 < 3x 7 < 17 9. Solve the inequality.
Geometry Cumulative Study Guide Test 8
Geometry Cumulative Study Guide Test 8 Numeric Response 1. A rectangular plot of land has a length of 3.5 miles and a width of 8.5 miles. What is the area, in square miles, of the plot of land? 2. A circle
Honors 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
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).
EOCT Practice Items 1) Figure A'B'C'D'F' is a dilation of figure ABCDF by a scale factor of 1. 2 centered at ( 4, 1). The dilation is Which statement is true? A. B. C. D. AB B' C' A' B' BC AB BC A' B'
GEOMETRY CHAPTER 2: Deductive Reasoning
GEOMETRY CHAPTER 2: Deductive Reasoning NAME Page 1 of 34 Section 2-1: If-Then Statements; Converses Conditional Statement: If hypothesis, then conclusion. hypothesis conclusion converse conditional statement
Proofs Practice Proofs Worksheet #2
Name: No. Per: Date: Serafino Geometry M T W R F 2C Proofs Practice Proofs Worksheet #2 1. Given: O is the midpoint of MN Prove: OW = ON OM = OW 1. O is the midpoint of seg MN Given 2. Segment NO = Segment
Algebraic Proof. Warm Up Solve each equation. Agenda: Warm-Up/Pull SG Algebraic Proofs Notes Practice Proofs. 1. 3x + 5 = 17.
Warm Up Solve each equation. 1. 3x + 5 = 17 4. x = 4 2. r 3.5 = 8.7 r = 12.2 3. 4t 7 = 8t + 3 t = 5 2 n = 38 Agenda: Warm-Up/Pull SG Algebraic Proofs Notes Practice Proofs 5. 2(y 5) 20 = 0 y = 15 Essential
2.1 If Then Statements
Chapter Deductive Reasoning Learn deductive logic Do your first - column proof New Theorems and Postulates **PUT YOUR LAWYER HAT ON!!. If Then Statements Recognize the hypothesis and conclusion of an ifthen
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
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.
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.
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
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.
FALL SEMESTER EXAM REVIEW (Chapters 1-6) CHAPTER 1 1. How many planes can be drawn through any three noncollinear points? a. 0 b. 1 c. 2 d. 3 2. Find the length of PQ. a. 50.9 cm b. 46.3 cm c. 25.7 cm
Lesson. Warm Up deductive 2. D. 3. I will go to the store; Law of Detachment. Lesson Practice 31
Warm Up 1. deductive 2. D b. a and b intersect 1 and 2 are supplementary 2 and 3 are supplementary 3. I will go to the store; Law of Detachment Lesson Practice a. 1. 1 and 2 are. 2. 1 and 3 are. 3. m 1
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
Polynomials Practice Test
Name: Class: Date: Polynomials Practice Test Multiple Choice Identify the choice that best completes the statement or answers the question. 1. From the list, which terms are like 7x? 7x 2, 6x, 5, 8x, 7x,
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
Ch 5 Practice Exam. Name: Class: Date: Multiple Choice Identify the choice that best completes the statement or answers the question.
Name: Class: Date: Ch 5 Practice Exam Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Find the value of x. The diagram is not to scale. a. 32 b. 50 c.
8th Grade Final Test - Review Sheet
Class: Date: 8th Grade Final Test - Review Sheet 1. Which equation has a slope of 2 and passes through the point (5, 0)? A. y = 2x + 5 B. y = 2x + 10 C. y = 2x + 5 D. y = 2x + 10 2. Which of the following
Review for Geometry Midterm 2015: Chapters 1-5
Name Period Review for Geometry Midterm 2015: Chapters 1-5 Short Answer 1. What is the length of AC? 2. Tell whether a triangle can have sides with lengths 1, 2, and 3. 3. Danny and Dana start hiking from
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
Chapter 1 Line and Angle Relationships
Chapter 1 Line and Angle Relationships SECTION 1.1: Sets, Statements, and Reasoning 1. a. Not a statement. b. Statement; true c. Statement; true d. Statement; false 5. Conditional 9. Simple 13. H: The
2-6 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