Instructional Goal Terminal Objective Assessment Item Students will generate twocolumn
|
|
|
- Gwendolyn Terry
- 5 years ago
- Views:
Transcription
1 eport Two Objectives Instructional Goal Terminal Objective ssessment Item Students will generate twocolumn geometric proofs. PS Given a statement to be proven, a diagram, and a given statement student s will generate a two-column geometric proof by analyzing the given information, drawing and labeling columns, entering given statement into chart, making assumptions about the given and prove statements, and entering assumptions and justifications into chart. 100% accuracy required. PS Write a two-column proof. Given: GK M & GK bisects M. Prove:. MGK GK G M K Main Steps of Instructional Goal 1. ead and Understand Problem VI Performance Objectives of Main Steps Given statements and a diagram students will demonstrate that they have read the problem by restating the given information. VI ssessment Items for Main Steps Given: segment F segment GH and segment H segment GF Prove: FH GHF F H G 1) What is the given statement in this problem? 2) What is to be proved?
2 2. nalyze given information. PS Given a statement to be proved, a diagram, and a given statement students will correctly label diagram with geometric marking symbols and identify relationship between the given and prove statements by writing a conjecture in sentence form. PS Label diagram and identify the relationship between the given and prove statements by writing a conjecture in sentence form. Given: segment PH bisects YHX. Segment HP is perpendicular to segment YX. Prove: HY HX Y H P 2.1 Locate The iagram MS Given a statement to be proved, a diagram, and a given statement students will locate the diagram by re-drawing it. MS e-draw the diagram from the following proof problem. Given: Prove: X 2.2 Label the given information on the diagram. Given a geometric statement and a diagram, students will label the statement on the diagram with geometric marking symbols. Label the given information on the diagram below using geometric marking symbols. Given: Prove:
3 2.3 etermine the relationship between the given statement, the prove statement, and the diagram. Given a statement to be proved, a diagram, and a given statement, students will determine the relationship between the statements and the diagram by writing a conjecture in sentence form. Write a sentence about the relationship of these three angles. Given: Prove: 3. raw and Label olumns. MS 3.1 Identify two-column proof method for displaying steps and justifications.(also 6.1) Given paper and a writing utensil students will execute drawing a t-chart and labeling the two columns with the words STTMNTS and JUSTIFITIONS. MS Given a proof in paragraph form students will re-write the steps and justifications into a two column proof. raw a t-chart and label each column Statements and Justifications respectively. e-write the following proof in a two-column format. M Given that M is the midpoint of segment we can say that the measure of segment M is equal to the measure of segment M from the definition of midpoint. Segment M must then be congruent to segment M by definition of congruent segments.
4 4. nter given information into chart. Given a statement and a chart students will demonstrate entering the given information into the chart under the statement column and enter given under the justification column. nter the given statement and it s justification into the following chart. Given: 1 2 Statements Justifications 5. etermine what can be assumed from given statement. Given a geometric statement and a diagram students will demonstrate writing an assumption that can be made from that statement and justify that assumption with a geometric definition, postulate, or theorem. Write a conjecture about what can be assumed from the statement and diagram. Given: etermine the theorem, postulate, or definition that allows the assumption to be made. Given a diagram, a statement to be proved, a given statement, and a conjecture in sentence form, students will determine the theorem, postulate, or definition that allowed the assumption to be made by naming the theorem postulate or definition. etermine the geometric postulate, definition, or theorem that allows the following assumption to be made. Given: 1 2 Prove: 1 4 ssumption: ngle two is congruent to angle four. use diagram from assessment 5
5 6. nter next proof step and justification into chart. Given a statement, a diagram and a conjecture, students will rewrite the conjecture in two-column form. Given: MO PO & NO bisects MP. P M N 7. etermine what could be assumed from the previous statement Given a partially completed proof, students will determine what assumption could be made from the last step entered by writing a conjecture in sentence form. O onclusion: MN is congruent to NP by definition of midpoint. No is congruent to itself by reflexive property. Therefore the triangles are congruent by SSS. etermine what can be assumed from the last step entered in the following proof. Given: segment bisects segment. Segment parallel to segment. Prove: triangle is congruent to triangle. Statements Justifications 1. bisects and Given 2. ef. Segment bisector.
6 7.1 etermine the theorem, postulate, or definition that allows the assumption to be made. Given a partially completed proof, students will determine the postulate, definition, or theorem that allows the last assumption to be made by naming the postulate, definition, or theorem. What postulate, definition or theorem allows the assumption in step three to be made? Given: segment bisects segment. Segment parallel to segment. Prove: triangle is congruent to triangle. Statements Justifications 1. bisects and Given 2. ef. Segment bisector nter next proof step and justification into chart. Given a statement, a diagram and a conjecture, students will rewrite the conjecture in two-column form. Given: MO PO & NO bisects MP. P M N O onclusion: MN is congruent to NP by definition of midpoint. No is congruent to itself by reflexive property. Therefore the triangles are congruent by SSS.
7 Subordinate Skills Subordinate Objectives ssessment Items pply geometric marking symbols of congruence. Given a statement and a diagram students will apply geometric marking symbols of congruence to the diagram. Mark the following statements in the diagram below using geometric symbols. a. 1 2 b. 3 4 c. segment segment d. segment segment e. segment lassify geometric postulates, theorems, and definitions.(also boxes and 7.2.1) Given a statement and a diagram students will classify which geometric postulate, definition, or theorem that allowed the assumption to be made. If angle and angle are vertical angles then angle is congruent to angle.
8 ntry ehaviors Performance Objectives ssessment Items lassify geometric marking symbols Given a diagram that is marked with geometric symbols students will classify what the symbols mean by writing statements. Write three statements about the figure above concerning the markings Identify geometric symbols and figures.(also boxes and ) Given a geometric figure or symbol students will be able to identify the figure or symbol by naming it. Identify the following symbols
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
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
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
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'
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'
Name Geometry Common Core Regents Review Packet - 3. Topic 1 : Equation of a circle
Name Geometry Common Core Regents Review Packet - 3 Topic 1 : Equation of a circle Equation with center (0,0) and radius r Equation with center (h,k) and radius r ( ) ( ) 1. The endpoints of a diameter
Chapter 03 Test. 1 Complete the congruence statement. A B C D. 2 Complete the congruence statement. A B C D
hapter 03 Test Name: ate: 1 omplete the congruence statement. 2 omplete the congruence statement. 3 If, which of the following can you NOT conclude as being true? opyright 2005-2006 by Pearson Education
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
Essential Question How can you prove a mathematical statement?
.5 TEXS ESSENTIL KNOWLEDGE ND SKILLS Preparing for G.6. G.6. G.6.D G.6.E RESONING To be proficient in math, you need to know and be able to use algebraic properties. Proving Statements about Segments and
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
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
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
1) If AB is congruent to AC, then B is congruent to C.
233 1) If is congruent to, then is congruent to. Proof of 1). 1) ssume ". (We must prove that ".) 2) ", because the identity is a rigid motion that moves to. 3) Therefore, Δ " Δ by the xiom. (The correspondence
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
Geometry GENERAL GEOMETRY
Geometry GENERAL GEOMETRY Essential Vocabulary: point, line, plane, segment, segment bisector, midpoint, congruence I can use the distance formula to determine the area and perimeters of triangles and
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: A Complete Course
Geometry: omplete ourse (with Trigonometry) Module - Student WorkText Written by: Thomas. lark Larry. ollins RRT 4/2010 6. In the figure below, and share the common segment. Prove the following conditional
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
7. m JHI = ( ) and m GHI = ( ) and m JHG = 65. Find m JHI and m GHI.
1. Name three points in the diagram that are not collinear. 2. If RS = 44 and QS = 68, find QR. 3. R, S, and T are collinear. S is between R and T. RS = 2w + 1, ST = w 1, and RT = 18. Use the Segment Addition
Unit 2 Review. Determine the scale factor of the dilation below.
Unit 2 Review 1. oes the graph below represent a dilation? Why or why not? y 10 9 8 7 (0, 7) 6 5 4 3 (0, 3.5) 2 1 (5, 7) (5, 3.5) -10-9 -8-7 -6-5 -4-3 -2-1 0 1 2 3 4 5 6 7 8 9 10-1 F -2 (5, 0) -3-4 -5-6
Segment Measurement, Midpoints, & Congruence
Lesson 2 Lesson 2, page 1 Glencoe Geometry Chapter 1.4 & 1.5 Segment Measurement, Midpoints, & Congruence Last time, we looked at points, lines, and planes. Today we are going to further investigate lines,
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
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
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
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
Unit 5, Lesson 4.3 Proving the Pythagorean Theorem using Similarity
Unit 5, Lesson 4.3 Proving the Pythagorean Theorem using Similarity Geometry includes many definitions and statements. Once a statement has been shown to be true, it is called a theorem. Theorems, like
1. Use what you know about congruent triangles to write a paragraph proof to justify that the opposite sides in the diagram are parallel.
Flow Chart and Paragraph Proofs SUGGESTED LEARNING STRATEGIES: Marking the Text, Prewriting, Self/Peer Revision, You know how to write two-column and paragraph proofs. In this activity you will use your
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
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
So, PQ is about 3.32 units long Arcs and Chords. ALGEBRA Find the value of x.
ALGEBRA Find the value of x. 1. Arc ST is a minor arc, so m(arc ST) is equal to the measure of its related central angle or 93. and are congruent chords, so the corresponding arcs RS and ST are congruent.
(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
ACTIVITY 12 Continued. TEACHER to TEACHER. Lesson 12-3 PLAN TEACH
Learning Targets: pply the Segment ddition Postulate to find lengths of segments. Use the definition of midpoint to find lengths of segments. SUESTED LERNIN STRTEIES: Close Reading, Look for a Pattern,
Segment Measurement, Midpoints, & Congruence
Lesson 2 Lesson 2, page 1 Glencoe Geometry Chapter 1.4 & 1.5 Segment Measurement, Midpoints, & Congruence Last time, we looked at points, lines, and planes. Today we are going to further investigate lines,
Practice. 8. Use inductive reasoning to determine the next two terms in the sequence. a. 1, 3, 7, 15, 31, b. 3, -6, 12, -24, 48,
CTIC CTIVITY 1.1 1. Which is the correct name for this line? G M a. G c. MG b. GM d. M 2. Use the diagram to name each of the following. L M a. parallel lines b. perpendicular lines. In this diagram, m
Topic 4 Congruent Triangles PAP
opic 4 ongruent riangles PP Name: Period: eacher: 1 P a g e 2 nd Six Weeks 2015-2016 MONY USY WNSY HUSY FIY Oct 5 6 7 8 9 3.4/3.5 Slopes, writing and graphing equations of a line HW: 3.4/3.5 Slopes, writing
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.
Int. Geometry Units 1-6 Review 1
Int. Geometry Units 1-6 Review 1 Things to note about this review and the Unit 1-6 Test: 1. This review packet covers major ideas of the first six units, but it does not show examples of all types of problems..
REVIEW PACKET January 2012
NME: REVIEW PKET January 2012 My PERIOD DTE of my EXM TIME of my EXM **THERE RE 10 PROBLEMS IN THIS REVIEW PKET THT RE IDENTIL TO 10 OF THE PROBLEMS ON THE MIDTERM EXM!!!** Your exam is on hapters 1 6
ALLEN PARK HIGH SCHOOL F i r s t S e m e s t e r R e v i e w
ALLEN PARK HIGH SCHOOL i r s t S e m e s t e r R e v i e w G EOMERY APHS/MAH Winter 2010 DIRECIONS his section of test is 68 items, which you will work in this booklet. Mark the correct answer as directed
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
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
Paragraph Proof, Two-Column Proof, Construction Proof, and Flow Chart Proof
.3 Forms of Proof Paragraph Proof, Two-Column Proof, Construction Proof, and Flow Chart Proof Learning Goals Key Terms In this lesson, you will: Use the addition and subtraction properties of equality.
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 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
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,
In Class Problem Set #15
In Class Problem Set #15 CSE 1400 and MTH 2051 Fall 2012 Relations Definitions A relation is a set of ordered pairs (x, y) where x is related to y. Let denote a relational symbol. Write x y to express
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
Common Core Readiness Assessment 4
ommon ore Readiness ssessment 4 1. Use the diagram and the information given to complete the missing element of the two-column proof. 2. Use the diagram and the information given to complete the missing
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
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,
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
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
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
Find the next item in the pattern below. The red square moves in the counterclockwise direction. The next figure is.
CHAPTER 2 Study Guide: Review Organizer Objective: Help students organize and review key concepts and skills presented in Chapter 2. Online Edition Multilingual Glossary Countdown Week 4 Vocabulary biconditional
Chapter 4 Review Formal Geometry Name: Period: Due on the day of your test:
Multiple Choice Identif the choice that best completes the statement or answers the question. 1. In the figure, what is the m 3?. 97 B. 62 97 2 C. 48. 35 35 1 3 2. In the figure, PR SU and QT QU. What
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
Transversals. What is a proof? A proof is logical argument in which each statement you make is backed up by a statement that is accepted true.
Chapter 2: Angles, Parallel Lines and Transversals Lesson 2.1: Writing a Proof Getting Ready: Your math teacher asked you to solve the equation: 4x 3 = 2x + 25. What is a proof? A proof is logical argument
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
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:
12.1 Triangle Proportionality Theorem
Name lass Date 12.1 Triangle Proportionality Theorem ssential Question: When a line parallel to one side of a triangle intersects the other two sides, how does it divide those sides? Resource Locker xplore
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
Geometry Note Cards EXAMPLE:
Geometry Note Cards EXAMPLE: Lined Side Word and Explanation Blank Side Picture with Statements Sections 12-4 through 12-5 1) Theorem 12-3 (p. 790) 2) Theorem 12-14 (p. 790) 3) Theorem 12-15 (p. 793) 4)
Performance Level Descriptors Geometry
Congruence Transformations Similarity Similarity in Trigonometry Geometry: Sub-Claim A The student solves problems involving the Major Content for grade/course with connections to the Standards for Mathematical
Indicate the answer choice that best completes the statement or answers the question. Find the volume of the solid.
Indicate the answer choice that best completes the statement or answers the question. Find the volume of the solid. A. 252.4 cm 3 B. 126.2 cm 3 C. 492.2 cm 3 D. 703.8 cm 3 F. 576 G. 288 H. 240 I. 336 Powered
Prove Statements about Segments and Angles
2.6 Prove Statements about Segments and Angles Before You used deductive reasoning. Now You will write proofs using geometric theorems. Why? So you can prove angles are congruent, as in Ex. 21. Key Vocabulary
Activity Sheet 1: Constructions
Name ctivity Sheet 1: Constructions Date 1. Constructing a line segment congruent to a given line segment: Given a line segment B, B a. Use a straightedge to draw a line, choose a point on the line, and
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
4.3. Although geometry is a mathematical study, it has a history that is very much tied. Keep It in Proportion. Theorems About Proportionality
Keep It in Proportion Theorems About Proportionality.3 Learning Goals In this lesson, you will: Prove the Angle Bisector/Proportional Side Theorem. Prove the Triangle Proportionality Theorem. Prove the
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
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 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..
DISCOVERING GEOMETRY Over 6000 years ago, geometry consisted primarily of practical rules for measuring land and for
Name Period GEOMETRY Chapter One BASICS OF GEOMETRY Geometry, like much of mathematics and science, developed when people began recognizing and describing patterns. In this course, you will study many
); 5 units 5. x = 3 6. r = 5 7. n = 2 8. t =
. Sample answer: dilation with center at the origin and a scale factor of 1 followed b a translation units right and 1 unit down 5. Sample answer: reflection in the -axis followed b a dilation with center
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
Name: Class: Date: 5. If the diagonals of a rhombus have lengths 6 and 8, then the perimeter of the rhombus is 28. a. True b.
Indicate whether the statement is true or false. 1. If the diagonals of a quadrilateral are perpendicular, the quadrilateral must be a square. 2. If M and N are midpoints of sides and of, then. 3. The
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
Chapter 6. Worked-Out Solutions. Chapter 6 Maintaining Mathematical Proficiency (p. 299)
hapter 6 hapter 6 Maintaining Mathematical Proficiency (p. 99) 1. Slope perpendicular to y = 1 x 5 is. y = x + b 1 = + b 1 = 9 + b 10 = b n equation of the line is y = x + 10.. Slope perpendicular to y
Triangle Geometry. Often we can use one letter (capitalised) to name an angle.
1) Naming angles Triangle Geometry Often we can use one letter (capitalised) to name an angle. A C B When more than two lines meet at a vertex, then we must use three letters to name an angle. Q X P T
Geometry: A Complete Course
Geometry: omplete ourse (with Trigonometry) Module - Student WorkText Written by: Thomas E. lark Larry E. ollins Geometry: omplete ourse (with Trigonometry) Module Student Worktext opyright 2014 by VideotextInteractive
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.
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
NAEP Questions, Pre-Algebra, Unit 13: Angle Relationships and Transformations
NAEP Questions, Pre-Algebra, Unit 13: Angle Relationships and Transformations SOURCE: U.S. Department of Education, Institute of Education Sciences, National Center for Education Statistics, National Assessment
Riding a Ferris Wheel
Lesson.1 Skills Practice Name ate iding a Ferris Wheel Introduction to ircles Vocabulary Identify an instance of each term in the diagram. 1. center of the circle 6. central angle T H I 2. chord 7. inscribed
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
Integrated Math 3 Math 3 Course Description:
Course Description: Integrated Math 3 Math 3 Course Description: Integrated strands include algebra, functions, geometry, trigonometry, statistics, probability and discrete math. Scope and sequence includes
Geometry S1 (#2211) Foundations in Geometry S1 (#7771)
Instructional Materials for WCSD Math Common Finals The Instructional Materials are for student and teacher use and are aligned to the Course Guides for the following courses: Geometry S1 (#2211) Foundations
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 Unit 5 Review Show all work and follow the criteria for credit.
ompetency 1: Identify ongruence For questions 1 5, decide which congruence postulate, if any, you can use to prove that the given triangles are congruent. rite the congruence statement and identify the
Alg. Exercise (1) Department : Math Form : 1 st prep. Sheet. [1] Complete : 1) Rational number is 2) The set of integer is.. 3) If. is rational if x.
![Alg. Exercise (1) Department : Math Form : 1 st prep. Sheet. [1] Complete : 1) Rational number is 2) The set of integer is.. 3) If. is rational if x.](/thumbs/88/117810047.jpg "Alg. Exercise (1) Department : Math Form : 1 st prep. Sheet. [1] Complete : 1) Rational number is 2) The set of integer is.. 3) If. is rational if x.")
airo Governorate Nozha irectorate of Education Nozha Language Schools Ismailia Road epartment : Math Form : 1 st prep. Sheet [1] omplete : lg. Exercise (1) 1) Rational number is ) The set of integer is..
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
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
Geometry 1 st Semester review Name
Geometry 1 st Semester review Name 1. What are the next three numbers in this sequence? 0, 3, 9, 18, For xercises 2 4, refer to the figure to the right. j k 2. Name the point(s) collinear to points H and
Geometry 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
Analytical Geometry- Common Core
Analytical Geometry- Common Core 1. A B C is a dilation of triangle ABC by a scale factor of ½. The dilation is centered at the point ( 5, 5). Which statement below is true? A. AB = B C A B BC C. AB =
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
Geometry Final exam Review First Semester
Name: lass: ate: Geometry Final exam Review First Semester Multiple hoice Identify the choice that best completes the statement or answers the question. 1. Find the measure of O. Then, classify the angle
Geometry: A Complete Course
Geometry: omplete ourse (with Trigonometry) Module Progress Tests Written by: Larry E. ollins Geometry: omplete ourse (with Trigonometry) Module - Progress Tests opyright 2014 by VideotextInteractive Send
Geometry First Semester Exam Review
Geometry First Semester Exam Review Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Name three points that are collinear. a. points T, Q, and R c. points
Angle-Side-Angle Congruence Theorem
ngle to the Left of Me, ngle to the Right of Me ngle-side-ngle ongruence Theorem. Learning Goals In this lesson, you will: Explore the ngle-side-ngle ongruence Theorem using constructions. Explore the
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)