Proofs Practice Proofs Worksheet #2
|
|
|
- Dale McCoy
- 5 years ago
- Views:
Transcription
1 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 OM Def of midpoint 3. NO = OM Def of cong. 4. OM = OW Given 5. NO = OW Transitive Property (Substitution) 6. OW NO Symmetric Property 7. NO = ON Reflexive Property 8. OW = ON Transitive Property (Substitution) 2. Given: AB = CD Prove: AC = BD 1. AB = CD Given 2. AB + BC = CD + BC Addition Property of Equality 3. AB + BC = AC Segment Addition Post 4. CD + BC = BD Segment Addition Post 5. AC = BD Substitution 3. Given: m 1 = 90 Prove: m 2 = m 1 = 90 Given 2. 1 and 2 are a linear pair Definition of Linear Pair 3. 1 and 2 are supplementary Linear Pair Theorem 4. m 1 + m 2 = 180 Definition of Supplementary m 2 = 180 Substitution 6. m 2 = 90 Subtraction Prop of Equality 4. Given: 1 and 2 are complementary Prove: m 1 = m 3 3 and 2 are complementary 1. 1 and 2 are complementary 3 and 2 are complementary Given 2. m 1 + m 2 = 90 Definition of Complementary m 3 + m 2 = m 1 + m 2 = m 3 + m 2 Substitution 4. m 1 = m 3 Subtraction Prop of Equality
2 5. Given: m 1 = m 3 Prove: m JOL = m KOM 1. m 1 = m 3 Given 2. m 1 + m 2 = m 3 + m 2 Addition Property of Equality 3. m 1 + m 2 = JOL Angle Addition Property 4. m 2 + m 3 = m KOM Angle Addition Property 5. m JOL = m KOM Substitution 4.5 m 2 + m 3 = m 3 + m 2 Commutative Property 6. Given: m 1 = 90 Prove: m = m 1 = 90 Given 2. 1 and 2 are a linear pair Definition of Linear Pair 3. 1 and 2 are supplementary Linear Pair Theorem 4. m 2+ m 1 = 180 Definition of Supplementary 5. m = 180 Substitution 7. Given: PR LN Prove: PQ = LM Q is midpoint of PR M is midpoint of LN 1. PR LN Given 2. PR = LN Definition of Congruence 3. Q is midpoint of PR; M is midpoint of LN Given 4. PQ QR; PQ = QR Definitions of Midpoint & Congruence 5. LM MN; LM = MN Definitions of Midpoint & Congruence 6. PR = PQ + QR; LN = LM + MN Segment Addition Postulate 7. PQ + QR = LM + MN Substitution 8. PQ + PQ = LM + LM Substitution 9. 2 PQ = 2 LM Combining Like Terms 10. PQ = LM Division Property of Equality 8. Given: EF EG Prove: FED and DEG are complementary D is in the interior of FEG 1. EF EG Given 2. m FEG = 90 Definition of Perpendicular 3. m FED + m DEG = m FEG Angle Addition Postulate 4. m FED + m DEG = 90 Substitution 5. FED and DEG are complementary Definition of Complementary
3 9. Given: AB CD Prove: AC BD 1. AB CD Given 2. AB = CD Definition of Congruence 3. AB + BC = CD + BC Addition Postulate of Equality 4. AB + BC = AC Segment Addition Postulate 5. BC + CD = BD Segment Addition Postulate 6. AC = BD Substitution 7. AB CD Definition of Congruence 10. Given: 1 and 2 are supplementary Prove: 1 and 2 are right angles and 2 are supplementary Given 2. m 1 + m 2 = 180 Definition of Supplementary Given 4. m 1 = m 2 Definition of Congruent 5. m 1 + m 1 = 180 Substitution m 2 + m 2 = m 1 = 180 Combining Like Terms 2 m 2 = m 1 = 90 Division Property of Equality m 2 = and 2 are right angles Definition of Right Angles 11. Given: 1 2 Prove: 1 and 2 are right angles Given 2. m 1 = m 2 Definition of Congruent 3. 1 and 2 are a linear pair Definition of Linear Pair 4. 1 and 2 are supplementary Linear Pair Theorem 5. m 1 + m 2 = 180 Definition of Supplementary 6. m 1 + m 1 = 180 Substitution m 2 + m 2 = m 1 = 180 Combining Like Terms 2 m 2 = m 1 = 90 Division Property of Equality m 2 = and 2 are right angles Definition of Right Angles
4 12. Given: 1 and 2 are complementary Prove: 2 and 3 are complementary 1. 1 and 2 are complementary Given 2. m 1 + m 2= 90 Definition of Complementary 3. 1 and 3 are vertical angles Definition of Vertical Angles 4. 1 and 3 are congruent Vertical Angles Theorem 5. m 1 = m 3 Definition of Congruent 6. m 3 + m 2= 90 Substitution 7. 2 and 3 are complementary Definition of Complementary 13. Given: m 2 = 2 m 1 Prove: m 1 = m 2 = 2 m 1 Given 2. 1 and 2 are a linear pair Definition of Linear Pair 3. 1 and 2 are supplementary Linear Pair Theorem 4. m 1 + m 2 = 180 Definition of Supplementary 5. m m 1 = 180 Substitution 6. 3 m 1 = 180 Combining Like Terms 7. m 1 = 60 Division Property of Equality 14. Given: AD bisects BAC Prove: AD bisects BAC Given Definition of Bisect Given Substitution 15. Given: ABC a right angle Prove: 1 and 2 are complementary 1. ABC a right angle Given 2. m ABC = 90 Definition of Right Angle 3. m 1 + m 2 = m ABC Angle Addition Postulate 4. m 1 + m 2 = 90 Substitution 5. 1 and 2 are complementary Definition of Complementary
5 16. Given: CD EF Prove: F is midpoint of EG CD FG 1. CD EF Given 2. CD FG Given 3. EF FG Substitution 4. F is midpoint of E Definition of Midpoint 17. Given: KU HF Prove: KH UF 1. KU HF Given 2. KU = HD Definition of congruent 3. KH + HU = KU Segment addition postulate 4. HU + UF = HF Segment addition postulate 5. KH + HU = HU + UF Substitution 6. KH = UF Subtraction Prop of Equality 7. KH UF Definition of congruent 18. Given: ABD and CDB are right angles Prove: m 1 = m 3 m 2 = m 4 1. ABD and CDB are right angles Given 2. m ABD = 90 ; m CDB = 90 Definition of right angles 3. m ABD = m CDB Substitution 4. m 2 = m 4 Given 5. m 1 + m 2 = m ADB m 3 + m 4 = m CDB Angle Addition Postulate 6. m 1 + m 2 = m 3 + m 4 Substitution 7. m 1 + m 2 = m 3 + m 2 Substitution 8. m 1 + m 2 = m 3 + m 2 Subtraction Property of Equality 19. Given: m ABC = m CBD Prove: BC is the bisector of ABD 1. m ABC = m CBD Given 2. m ABC + m CBD = m ABD Angle Addition Postulate 3. m ABC m CBD Definition of congruent 4. BC is bisector of ABD Definition of bisector
6 20. Given: m ABE = m CBE Prove: ABD and DBE are complementary 1. m ABE = m CBE 1. Given 2. ABE CBE 2. Def of congruent 3. ABE and CBE are a linear pair 3. Def of Linear Pair 4. are supplementary 4. Linear Pair Theorem 5. m ABE + m CBE = Def of Supp 6. m ABE + m ABE = Substitution 7. 2(m ABE) = Simplify/Combine Like Terms 8. m ABE = Division Prop of E 9. m ABD + m DBE = m ABE 9. Angle Addition Prop 10. m ABD + m DBE = Substitution 11. ABD and DBE are complementary 11. Def of Comp
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.
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
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
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
8. C is the midpoint of BD. 4. AB < AE
Assumptions and Justifications Use page 7 in your book to help complete the notes below Things You an Assume From a iagram Things You AN T Assume From a iagram I. For each picture list the facts you can
5-1 Perpendicular and Angle Bisectors
5-1 Perpendicular and Angle Bisectors Warm Up Lesson Presentation Lesson Quiz Geometry Warm Up Construct each of the following. 1. A perpendicular bisector. 2. An angle bisector. 3. Find the midpoint and
GEOMETRY. 2.5 Proving Statements about Segments and Angles
GEOMETRY 2.5 Proving Statements about Segments and Angles ESSENTIAL QUESTION How can I prove a geometric statement? REVIEW! Today we are starting proofs. This means we will be using ALL of the theorems
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
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
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
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
Cumulative 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
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
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
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 Angle Addition Postulate Theorems 2.3 and 2.4 Example
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'
Math 3 Review Sheet Ch. 3 November 4, 2011
Math 3 Review Sheet Ch. 3 November 4, 2011 Review Sheet: Not all the problems need to be completed. However, you should look over all of them as they could be similar to test problems. Easy: 1, 3, 9, 10,
Properties of Isosceles and Equilateral Triangles
Properties of Isosceles and Equilateral Triangles In an isosceles triangle, the sides and the angles of the triangle are classified by their position in relation to the triangle s congruent sides. Leg
Geometry Practice Midterm
Class: Date: Geometry Practice Midterm 2018-19 1. If Z is the midpoint of RT, what are x, RZ, and RT? A. x = 19, RZ = 38, and RT = 76 C. x = 17, RZ = 76, and RT = 38 B. x = 17, RZ = 38, and RT = 76 D.
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
Homework 10: p.147: 17-41, 45
2-4B: Writing Proofs Homework 10: p.147: 17-41, 45 Learning Objectives: Analyze figures to identify and use postulates about points, lines and planes Analyze and construct viable arguments in several proof
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
1-2 Measuring and Constructing Segments
Warm Up Simplify. 1. 7 ( 3) 10 2. 1 ( 13) 12 3. 7 1 8 Solve each equation. 4. 2x + 3 = 9x 11 5. 3x = 4x 5 2 5 6. How many numbers are there between and? Infinitely many Standard U1S2 Use length and midpoint
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
Geometry Problem Solving Drill 08: Congruent Triangles
Geometry Problem Solving Drill 08: Congruent Triangles Question No. 1 of 10 Question 1. The following triangles are congruent. What is the value of x? Question #01 (A) 13.33 (B) 10 (C) 31 (D) 18 You set
Triangles. 3.In the following fig. AB = AC and BD = DC, then ADC = (A) 60 (B) 120 (C) 90 (D) none 4.In the Fig. given below, find Z.
Triangles 1.Two sides of a triangle are 7 cm and 10 cm. Which of the following length can be the length of the third side? (A) 19 cm. (B) 17 cm. (C) 23 cm. of these. 2.Can 80, 75 and 20 form a triangle?
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'
1-2 Measuring and Constructing Segments
1-2 Measuring and Constructing Segments Warm Up Lesson Presentation Lesson Quiz Objectives Use length and midpoint of a segment. Construct midpoints and congruent segments. Vocabulary coordinate midpoint
Honors Geometry Term 1 Practice Final
Name: Class: Date: ID: A Honors Geometry Term 1 Practice Final Short Answer 1. RT has endpoints R Ê Ë Á 4,2 ˆ, T Ê ËÁ 8, 3 ˆ. Find the coordinates of the midpoint, S, of RT. 5. Line p 1 has equation y
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
2-7 Flowchart and Paragraph Proofs
2-7 Flowchart and Paragraph Proofs Warm Up Lesson Presentation Lesson Quiz Geometry Angle Relationship Worksheet Math Warehouse Proof Quiz http://www.mathwarehouse.com/properties/p roperties-quiz.php Warm
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
Honors 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
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
Which statement is true about parallelogram FGHJ and parallelogram F ''G''H''J ''?
Unit 2 Review 1. Parallelogram FGHJ was translated 3 units down to form parallelogram F 'G'H'J '. Parallelogram F 'G'H'J ' was then rotated 90 counterclockwise about point G' to obtain parallelogram F
LESSON 2 5 CHAPTER 2 OBJECTIVES
LESSON 2 5 CHAPTER 2 OBJECTIVES POSTULATE a statement that describes a fundamental relationship between the basic terms of geometry. THEOREM a statement that can be proved true. PROOF a logical argument
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
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
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
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 Angle Addition Postulate Theorems 2.3 and 2.4 Example
Honors Geometry Review Exercises for the May Exam
Honors Geometry, Spring Exam Review page 1 Honors Geometry Review Exercises for the May Exam C 1. Given: CA CB < 1 < < 3 < 4 3 4 congruent Prove: CAM CBM Proof: 1 A M B 1. < 1 < 1. given. < 1 is supp to
Notes: Review of Algebra I skills
Notes: Review of Algebra I skills http://www.monroeps.org/honors_geometry.aspx http://www.parklandsd.org/wp-content/uploads/hrs_geometry.pdf Name: Date: Period: Algebra Review: Systems of Equations * If
A plane can be names using a capital cursive letter OR using three points, which are not collinear (not on a straight line)
Geometry - Semester 1 Final Review Quadrilaterals (Including some corrections of typos in the original packet) 1. Consider the plane in the diagram. Which are proper names for the plane? Mark all that
4) Find the value of the variable and YZ if Y is between X and Z. XY = 2c +1, YZ = 6c, XZ = 9c 1 6(2) 12 YZ YZ
Pre-AP Geometry 1 st Semester Exam Study Guide 1) Name the intersection of plane DAG and plane ABD. (left side and back) AD ) Name the intersection of HI and FJ E 3) Describe the relationship between the
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
Midterm Study Guide Assessment. Question 1. Find the angle measure. (28x + 14) (16x + 62) The measure of the angles are. 11/30/2018 Print Assignment
Question 1. Find the angle measure. (28x + 14) (16x + 62) The measure of the angles are. https://my.hrw.com/wwtb2/viewer/printall_vs5.html?sf2tt3dnj49xcldd29v4qfjhw0nq0ker6b1uuwkuupca0a5fsymn1tdn7y3prlf19pv779ludnoev4cldd29v4
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
Triangle 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
Geometry - Review for Final Chapters 5 and 6
Class: Date: Geometry - Review for Final Chapters 5 and 6 1. Classify PQR by its sides. Then determine whether it is a right triangle. a. scalene ; right c. scalene ; not right b. isoceles ; not right
Chapter 7. Geometric Inequalities
4. Let m S, then 3 2 m R. Since the angles are supplementary: 3 2580 4568 542 Therefore, m S 42 and m R 38. Part IV 5. Statements Reasons. ABC is not scalene.. Assumption. 2. ABC has at least 2. Definition
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
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
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)
Geometry 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
1-2 Measuring and Constructing Segments
1-2 Measuring and Constructing Segments Lesson Presentation Lesson Quiz Objectives Use length and midpoint of a segment. Construct midpoints and congruent segments. Vocabulary coordinate midpoint distance
Common Core Math 3. Proofs. Can you find the error in this proof "#$%&!!""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""!
Common Core Math 3 Proofs Can you find the error in this proof "$%& a = b'()$&2 = 1 *+,+$-$%+.. /$,0)%. " a = b $%&'( ) a 2 = ab = a 2 - b 2 = ab - b 2? (a + b)(a - b) = b(a - b) @ (a + b) = b B a + a
GEOMETRY UNIT 1 WORKBOOK. CHAPTER 2 Reasoning and Proof
GEOMETRY UNIT 1 WORKBOOK CHAPTER 2 Reasoning and Proof 1 2 Notes 5 : Using postulates and diagrams, make valid conclusions about points, lines, and planes. I) Reminder: Rules that are accepted without
Definitions/Postulates REVIEW!
Do NOW! This is on a worksheet I gave you last week called Practice with Proofs. #1 1) A, B, & C are collinear. B is btwn A & C. AC=32, AB = 2x & BC= 4x+2 2) 1) Given 2) Always start with the givens..
HW Set #1: Problems #1-8 For #1-4, choose the best answer for each multiple choice question.
Geometry Homework Worksheets: Chapter 2 HW Set #1: Problems #1-8 For #1-4, choose the best answer for each multiple choice question. 1. Which of the following statements is/are always true? I. adjacent
0610ge. 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
Geometry Midterm Exam Review 3. Square BERT is transformed to create the image B E R T, as shown.
1. Reflect FOXY across line y = x. 3. Square BERT is transformed to create the image B E R T, as shown. 2. Parallelogram SHAQ is shown. Point E is the midpoint of segment SH. Point F is the midpoint of
Answer Key. 9.1 Parts of Circles. Chapter 9 Circles. CK-12 Geometry Concepts 1. Answers. 1. diameter. 2. secant. 3. chord. 4.
9.1 Parts of Circles 1. diameter 2. secant 3. chord 4. point of tangency 5. common external tangent 6. common internal tangent 7. the center 8. radius 9. chord 10. The diameter is the longest chord in
TRIANGLES CHAPTER 7. (A) Main Concepts and Results. (B) Multiple Choice Questions
CHAPTER 7 TRIANGLES (A) Main Concepts and Results Triangles and their parts, Congruence of triangles, Congruence and correspondence of vertices, Criteria for Congruence of triangles: (i) SAS (ii) ASA (iii)
4-6 Isosceles and Equilateral Triangles. Refer to the figure. 1. If name two congruent angles. ANSWER: BAC and BCA
Refer to the figure. 1. If name two congruent angles. BAC and BCA 2. If EAC ECA, name two congruent segments. 6. 16 7. PROOF Write a two-column proof. Given: is isosceles; bisects ABC. Prove: Find each
THEOREMS WE KNOW PROJECT
1 This is a list of all of the theorems that you know and that will be helpful when working on proofs for the rest of the unit. In the Notes section I would like you to write anything that will help you
Common Core Math 3. Can you find the error in this proof. Unit 2B - Proofs
Common Core Math 3 Unit 2B - Proofs Can you find the error in this proof "$%& a = b'()$& 2 = 1 *+,+$-$%+.. /$,0)%. " a = b $%&'( ) a 2 = ab = a 2 - b 2 = ab - b 2? (a + b)(a - b) = b(a - b) @ (a + b) =
Basic Quadrilateral Proofs
Basic Quadrilateral Proofs For each of the following, draw a diagram with labels, create the givens and proof statement to go with your diagram, then write a two-column proof. Make sure your work is neat
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 Honors: Midterm Exam Review January 2018
Name: Period: The midterm will cover Chapters 1-6. Geometry Honors: Midterm Exam Review January 2018 You WILL NOT receive a formula sheet, but you need to know the following formulas Make sure you memorize
Geometry - Semester 1 Final Review Quadrilaterals
Geometry - Semester 1 Final Review Quadrilaterals 1. Consider the plane in the diagram. Which are proper names for the plane? Mark all that apply. a. Plane L b. Plane ABC c. Plane DBC d. Plane E e. Plane
Geometry 3 SIMILARITY & CONGRUENCY Congruency: When two figures have same shape and size, then they are said to be congruent figure. The phenomena between these two figures is said to be congruency. CONDITIONS
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 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
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.
GEO 9 CH CH ASSIGNMENT SHEET GEOMETRY Points, Lines, Planes p all,15,16,17,21,25
GEO 9 CH1-2.2 1 CH 1-2.2 ASSIGNMENT SHEET GEOMETRY 9 DAY SECTION NAME PAGE ASSIGNMENT 1 Algebra Review/Assignment #1 Handout 2 Algebra Review/Assignment #2 Handout 3 1.2 Points, Lines, Planes p. 7-8 1-10
Chapter 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
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.
Chapter 2 Segment Measurement and Coordinate Graphing
Geometry Concepts Chapter 2 Segment Measurement and Coordinate Graphing 2.2 Find length segments (1.3) 2.3 Compare lengths of segments (1.3) 2.3 Find midpoints of segments (1.7) 2.5 Calculate coordinates
Class IX Chapter 8 Quadrilaterals Maths
Class IX Chapter 8 Quadrilaterals Maths Exercise 8.1 Question 1: The angles of quadrilateral are in the ratio 3: 5: 9: 13. Find all the angles of the quadrilateral. Answer: Let the common ratio between
6 CHAPTER. Triangles. A plane figure bounded by three line segments is called a triangle.
6 CHAPTER We are Starting from a Point but want to Make it a Circle of Infinite Radius A plane figure bounded by three line segments is called a triangle We denote a triangle by the symbol In fig ABC has
Class IX Chapter 8 Quadrilaterals Maths
1 Class IX Chapter 8 Quadrilaterals Maths Exercise 8.1 Question 1: The angles of quadrilateral are in the ratio 3: 5: 9: 13. Find all the angles of the quadrilateral. Let the common ratio between the angles
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
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
Two-Column Proofs. Bill Zahner Lori Jordan. Say Thanks to the Authors Click (No sign in required)
Two-Column Proofs Bill Zahner Lori Jordan Say Thanks to the Authors Click http://www.ck12.org/saythanks (No sign in required) To access a customizable version of this book, as well as other interactive
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
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
1 Line n intersects lines l and m, forming the angles shown in the diagram below. 4 In the diagram below, MATH is a rhombus with diagonals AH and MT.
1 Line n intersects lines l and m, forming the angles shown in the diagram below. 4 In the diagram below, MATH is a rhombus with diagonals AH and MT. Which value of x would prove l m? 1) 2.5 2) 4.5 3)
Name Class Date. Additional Vocabulary Support. Reasoning in Algebra and Geometry
Additional Vocabulary Support Concept List Addition Property of Equality Division Property of Equality Reflexive Property of Equality Subtraction Property of Equality Transitive Property of Equality Distributive
GEO REVIEW TEST #1. 1. In which quadrilateral are the diagonals always congruent?
GEO REVIEW TEST #1 Name: Date: 1. In which quadrilateral are the diagonals always congruent? (1) rectangle (3) rhombus 4. In the accompanying diagram, lines AB and CD intersect at point E. If m AED = (x+10)
Geometer: CPM Chapters 1-6 Period: DEAL. 7) Name the transformation(s) that are not isometric. Justify your answer.
Semester 1 Closure Geometer: CPM Chapters 1-6 Period: DEAL Take time to review the notes we have taken in class so far and previous closure packets. Look for concepts you feel very comfortable with and
Wahkiakum School District, Pre-EOC Geometry 2012
Pre-EOC Assesment Geometry #1 Wahkiakum School District GEOM Page 1 1. What is the converse of If there are clouds in the sky, then it is raining? 2-2 A If it is raining, then there are clouds in the sky.
Postulates, Definitions, and Theorems (Chapter 4)
Postulates, Definitions, and Theorems (Chapter 4) Segment Addition Postulate (SAP) All segments AB and BC have unique real number measures AB and BC such that: ABCBC = AC if and only if B is between A
2/11/16 Review for Proofs Quiz
2/11/16 Review for Proofs Quiz EQ:Name some of the most common properties, theorems, and postulates used when performing proofs. MCC9 12.G.CO.9 Prove theorems about lines and angles. Theorems include:
Rhombi, Rectangles and Squares
Rhombi, Rectangles and Squares Math Practice Return to the Table of Contents 1 Three Special Parallelograms All the same properties of a parallelogram apply to the rhombus, rectangle, and square. Rhombus
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 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
Honors 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
Geometry AIR Test. Mar 14-3:07 PM. coordinate/algebraic proofs, parallel and perpendicular lines, distance formula, midpoint formula.
Geometry AIR Test Mar 14-3:07 PM Congruence and Proof 33-39% coordinate/algebraic proofs, parallel and perpendicular lines, distance formula, midpoint formula. missing sides on triangles (trig ratios,
Lesson 9.1 Skills Practice
Lesson 9.1 Skills Practice Name Date Earth Measure Introduction to Geometry and Geometric Constructions Vocabulary Write the term that best completes the statement. 1. means to have the same size, shape,
Geometry Arcs and Chords. Geometry Mr. Austin
10.2 Arcs and Chords Mr. Austin Objectives/Assignment Use properties of arcs of circles, as applied. Use properties of chords of circles. Assignment: pp. 607-608 #3-47 Reminder Quiz after 10.3 and 10.5
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
8-6. a: 110 b: 70 c: 48 d: a: no b: yes c: no d: yes e: no f: yes g: yes h: no
Lesson 8.1.1 8-6. a: 110 b: 70 c: 48 d: 108 8-7. a: no b: yes c: no d: yes e: no f: yes g: yes h: no 8-8. b: The measure of an exterior angle of a triangle equals the sum of the measures of its remote