# A circle is the set of points that are equidistant from a special point in the called the.

Size: px
Start display at page:

Download "A circle is the set of points that are equidistant from a special point in the called the."

Transcription

1 NAME Module 9 Lesson 3 Characteristics of Geometric Shapes Lesson Notes 9.3 Lesson Objectives Model and identify circle, radius, diameter, center, circumference, and chord. Draw, label, and determine relationships among the radius, diameter, center, and circumference (e.g. radius is half the diameter) of a circle. Model and develop the concept that pi is the ratio of the circumference to the diameter of any circle. Subtopic A circle is the set of points that are equidistant from a special point in the called the. A radius is a line segment that connects the of the circle to any point on the circle. A is a line segment that connects two points on a circle. A diameter is a that connects two points on the circle and passes through the of the circle. The length of a is twice the length of a radius. Identify the radii, the diameter, and the chords shown in Circle T. R T X B 27 Module 9 Lesson 3 Lesson Notes

2 B 2 Identify the radii, the diameters, and the chords shown in circle E. B A E D C 3 The diameter of a circle is 30 feet. Find the radius. 4 Tell whether each statement is always true, sometimes true, or never true. A radius is a chord. A diameter is a chord. A chord is a diameter. Subtopic 2 Circumference The of a circle is the distance around the circle. is the ratio of the circumference of any circle to its. Pi () number Approximately or 22 7 Module 9 Lesson 3 28 Lesson Notes

3 NAME Module 9 Lesson 3 Characteristics of Geometric Shapes 5 The diameter of a bike wheel is 28 inches. What is the circumference? Round to the nearest inch. C d C C The circumference of the bike wheel is about 88 inches. 6 The diameter of a manhole cover is 2 ft. What is the circumference? 2 C d C C = The circumference of the manhole cover is about feet. Module 9 Lesson 3 29 Lesson Notes

4 NAME Module 9 Lesson 3 Characteristics of Geometric Shapes Guided Practice 9.3 Set Identify the radii, the diameter, and the chords shown in Circle N. Radii: NM, NR, NQ M Q Diameter: QR Chords: QR, VS R V N S 2 Identify the radii, the diameter, and the chords shown in Circle W. Radii: WY Chords: VY andwz and VZ Y Z X W V 3 The diameter of a compact disc is 20 millimeters. Find the length of the radius. d =2r 20 = 2r 20 2 = r 20 2 = 60 The radius of the compact disc is 60 mm. Module 9 Lesson 3 30 Guided Practice

5 4 Tell whether each statement is always true, sometimes true, or never true. Chords in the same circle are congruent. Sometimes A diameter passes through the center of a circle. Always Set 2 The diameter of a coin is 35 mm. What is the circumference? Round to the nearest millimeter. C d C C 09.9 The coin s circumference is about 0 mm. 2 The radius of the lens of a magnifying glass is 38 millimeters. What is the circumference? Round to the nearest millimeter. C d C C The circumference is about 239 mm. 3 The radius of a circle is inch. 6 4 inches. What is the circumference? Round to the nearest d 2r d C d 22 C The circumference of the circle is about 39 inches. Module 9 Lesson 3 3 Guided Practice

6 NAME Module 9 Lesson 3 Characteristics of Geometric Shapes Challenge Problems 9.3 Set Use a calculator to find the value of 22 to six decimal places. Using the key on a 7 calculator, find the value of rounded to six decimal places. Then, order 22 7,, and 3.4 from least to greatest. 2 Explain how to estimate the diameter of a tree trunk if its circumference is 60 inches. 3 Determine if this statement is true or false and explain: If the diameter of a circle is doubled, then the circumference is doubled. Module 9 Lesson 3 32 Challenge Problems

7 Additional Work Area Module 9 Lesson 3 33 Challenge Problems

8 NAME Module 9 Lesson 3 Characteristics of Geometric Shapes Independent Practice 9.3 Identify the radii, diameters, and chords shown in each circle.. Circle O B C 2. Circle C T X Y G O F D R C U Radii: OG, OB, OF Diameter: BF Chords: CD, BF Radii: none Diameters: none Chords: RY and TU The length of a radius, r,ordiameter,d, is given. Find the missing measure. 3. d =6m 4. r = 4 ft r =? d =? r = 30.5 m d = 2 ft In each circle, either a radius or diameter is shown. Find the circumference. Round to the nearest inch in. 200 in. About 94 inches About 628 inches 34 Module 9 Lesson 3 Independent Practice

9 Tell whether each statement is always true, sometimes true, or never true. 7. A chord is a radius. Never true 8. Diameters in the same circle are congruent. Always true 9. Chords pass through the center of a circle. Sometimes true 0. A merry-go-round is 630 inches in diameter. Use 22 7 circumference of the merry-go-round. for to approximate the About,980 inches.. The diameter of a large pizza is 6 inches. To the nearest inch, what is the circumference of the pizza? About 50 inches 2. The circumference of a bowl is about 66 centimeters. To the nearest centimeter, what is the diameter of the bowl? About 2 centimeters 35 Module 9 Lesson 3 Independent Practice

10 NAME Module 9 Lesson 3 Characteristics of Geometric Shapes Use the circle below for problems Draw and label the center point P. 4. Draw and label diameters JT and AM. 5. Draw and label chord HK so that it is not a diameter. 6. Name all the radii shown in circle P. Journal. Tell how chords and diameters are alike. Tell how they are different. 2. Describe the relationship between a radius and diameter of the same circle. How can youfindoneifyouaregiventheother? 3. Explain what pi represents in a circle. Give two approximations for pi. Then, explain which approximation would be most appropriate for estimating the circumference of a circle with a diameter of 0 feet and which would be most appropriate for estimating a circle with a diameter of 4 feet. Cumulative Review Use the diagram on the right for Problems 6. A T. What point is coplanar with points M, A, ande? M E H L Point S S P 2. Describe MA and HT as parallel, perpendicular, or neither. Parallel 36 Module 9 Lesson 3 Independent Practice

11 3. Describe EL and HP as parallel, perpendicular, or neither. Neither A T 4. Describe HP and PL as parallel, perpendicular, or neither. M E H L Perpendicular S P 5. Classify PSL. Acute 6. The opposite sides of parallelogram PSEL are congruent. Tell why PLS ESL. SSS Congruence Tell if each figure is a polygon. If so, classify it by its number of sides and tell if it is concave or convex Concave pentagon Not a polygon Convex octagon Not a polygon 37 Module 9 Lesson 3 Independent Practice

12 Additional Work Area 38 Module 9 Lesson 3 Independent Practice

14 9. The circumference of a circular rug is about 57 inches. To the nearest inch, what is the radius of the rug? The radius of the rug is about nine inches. 0. The two circles on the right have the same center point. The diameter of the smaller circle is seven meters, and AB is 0 meters long. Find the circumference of the larger circle. Round to the nearest meter. The circumference of the larger circle is about 85 meters. A B 40 Module 9 Lesson 3 Additional Practice

### Geometry Module 9 Characteristics of Geometric Shapes Lesson 3 Circles

Geometry Module 9 Characteristics of Geometric Shapes Lesson 3 Circles Objectives Model and identify circle, radius, diameter, center, circumference, and chord. Draw, label, and determine relationships

### Pi: The Ultimate Ratio

Pi: The Ultimate Ratio Exploring the Ratio of Circle Circumference to Diameter 1 WARM UP Scale up or down to determine an equivalent ratio. 1. 18 miles 3 hours 5? 1 hour 2. \$750 4 days 3. 4. 12 in. 1 ft

### Indicate whether the statement is true or false.

PRACTICE EXAM IV Sections 6.1, 6.2, 8.1 8.4 Indicate whether the statement is true or false. 1. For a circle, the constant ratio of the circumference C to length of diameter d is represented by the number.

### Circles and Circumference

Practice A Circles and Circumference Point G is the center of the circle. Use it to answer each question. 1. Name the circle. 2. Name the diameter. 3. Name three radii. Find each missing value to the nearest

### MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Practice Test 1-0308- Chapter 8 MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Tell whether the angle is acute, right, obtuse, or straight. 1) 1)

### A. 180 B. 108 C. 360 D. 540

Part I - Multiple Choice - Circle your answer: 1. Find the area of the shaded sector. Q O 8 P A. 2 π B. 4 π C. 8 π D. 16 π 2. An octagon has sides. A. five B. six C. eight D. ten 3. The sum of the interior

### Unit 10 Geometry Circles. NAME Period

Unit 10 Geometry Circles NAME Period 1 Geometry Chapter 10 Circles ***In order to get full credit for your assignments they must me done on time and you must SHOW ALL WORK. *** 1. (10-1) Circles and Circumference

### Mid-Chapter Quiz: Lessons 10-1 through Refer to. 1. Name the circle. SOLUTION: The center of the circle is A. Therefore, the circle is ANSWER:

Refer to. 1. Name the circle. The center of the circle is A. Therefore, the circle is 2. Name a diameter. ; since is a chord that passes through the center, it is a diameter. 3. Name a chord that is not

### 10.1 circles and circumference 2017 ink.notebook. March 13, Page 91. Page 92. Page 90. Ch 10 Circles Circles and Circumference.

Page 90 Page 91 Page 92 Ch 10 Circles 10.1 Circles and Circumference Lesson Objectives Page 93 Standards Lesson Notes Page 94 10.1 Circles and Circumference Press the tabs to view details. 1 Lesson Objectives

### How can you find decimal approximations of square roots that are not rational? ACTIVITY: Approximating Square Roots

. Approximating Square Roots How can you find decimal approximations of square roots that are not rational? ACTIVITY: Approximating Square Roots Work with a partner. Archimedes was a Greek mathematician,

### Geometry Semester 1 Mid Term Review

Geometry Semester 1 Mid Term Review Multiple Choice Identify the choice that best completes the statement or answers the question. Refer to Figure 1 #1-3. 1. What is another name for line n? A. line JB

### 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

### New Jersey Center for Teaching and Learning. Progressive Mathematics Initiative

Slide 1 / 150 New Jersey Center for Teaching and Learning Progressive Mathematics Initiative This material is made freely available at www.njctl.org and is intended for the non-commercial use of students

### 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

### 10.1 Tangents to Circles. Geometry Mrs. Spitz Spring 2005

10.1 Tangents to Circles Geometry Mrs. Spitz Spring 2005 Objectives/Assignment Identify segments and lines related to circles. Use properties of a tangent to a circle. Assignment: Chapter 10 Definitions

### 1. Use. What are the vertices of A.,, B.,, C.,, D.,,

1. Use. What are the vertices of A.,, B.,, C.,, D.,, 2. Given, how are the distances to the origin from each image point related to the distance to the origin from each corresponding preimage point? A.

### California 3 rd Grade Standards / Excel Math Correlation by Lesson Number

California 3 rd Grade Standards / Lesson (Activity) L1 L2 L3 L4 L5 L6 L7 L8 Excel Math Lesson Objective Learning about the tens place and the ones place; adding and subtracting two-digit numbers; learning

### 4R & 4A Math Pacing Guides

GRADING PERIOD: 1st Nine Weeks Getting to Know You - Community Building 4.14- Data a. Collect data, using observations, surveys, measurement, polls, or questionnaires. b. Organize data into a chart or

### Pre-Algebra Chapter 9 Spatial Thinking

Pre-Algebra Chapter 9 Spatial Thinking SOME NUMBERED QUESTIONS HAVE BEEN DELETED OR REMOVED. YOU WILL NOT BE USING A CALCULATOR FOR PART I MULTIPLE-CHOICE QUESTIONS, AND THEREFORE YOU SHOULD NOT USE ONE

### Geometry Final Exam REVIEW

Name: Class: _ Date: _ Geometry Final Exam 09-10 - REVIEW Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Find the perimeter and area of the parallelogram.

### California 5 th Grade Standards / Excel Math Correlation by Lesson Number

(Activity) L1 L2 L3 Excel Math Objective Recognizing numbers less than a million given in words or place value; recognizing addition and subtraction fact families; subtracting 2 threedigit numbers with

### Geometry Semester 1 Mid Term Review #2

eometry Semester 1 Mid Term Review #2 Multiple Choice Identify the choice that best completes the statement or answers the question. Refer to Figure 1. n H K A D B C m J 1. Name a point NOT contained in

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

Geometry Final Review Name: Per: Vocab Word Acute angle Adjacent angles Angle bisector Collinear Line Linear pair Midpoint Obtuse angle Plane Pythagorean theorem Ray Right angle Supplementary angles Complementary

### Geometry Honors Homework

Geometry Honors Homework pg. 1 12-1 Practice Form G Tangent Lines Algebra Assume that lines that appear to be tangent are tangent. O is the center of each circle. What is the value of x? 1. 2. 3. The circle

### b) Parallelogram Opposite Sides Converse c) Parallelogram Diagonals Converse d) Opposite sides Parallel and Congruent Theorem

Chapter 7 1. State which theorem you can use to show that the quadrilateral is a parallelogram. a) Parallelogram Opposite Angles Converse b) Parallelogram Opposite Sides Converse c) Parallelogram Diagonals

### Geometry Honors Final Exam Review June 2018

Geometry Honors Final Exam Review June 2018 1. Determine whether 128 feet, 136 feet, and 245 feet can be the lengths of the sides of a triangle. 2. Casey has a 13-inch television and a 52-inch television

### Chapter (Circle) * Circle - circle is locus of such points which are at equidistant from a fixed point in

Chapter - 10 (Circle) Key Concept * Circle - circle is locus of such points which are at equidistant from a fixed point in a plane. * Concentric circle - Circle having same centre called concentric circle.

### NORTH THURSTON PUBLIC SCHOOLS END OF COURSE GEOMETRY PRACTICE TEST. Name: Date:

NORTH THURSTON PUBLIC SCHOOLS END OF COURSE GEOMETRY PRACTICE TEST Name: Date: Day 1 1. Determine the value of x if ΔABC is equilateral. B 7.5x 6x + 3 A Write your answer on the line. 10x 5 C What is the

### Real-World Problems: Circles

11.3 Real-World Problems: Circles Lesson Objectives Solve real-world problems involving area and circumference of circles. Solve real-world problems involving semicircles, quadrants, and composite figures.

### Lesson 12.1 Skills Practice

Lesson 12.1 Skills Practice Introduction to ircles ircle, Radius, and iameter Vocabulary efine each term in your own words. 1. circle circle is a collection of points on the same plane equidistant from

### Quarterly Assessment 2 STUDY GUIDE. Name: Date: Per: 1. The two triangle shaped rooms are congruent. Find the missing side lengths and angle measures.

Quarterly ssessment 2 STUDY GUIDE Name: Date: Per: 1. The two triangle shaped rooms are congruent. Find the missing side lengths and angle measures. 48 o h 8 ft r 10.5 ft u 6ft s c 42 o a. c = 8 ft r =

### Name Period Date. GEO2.2: Area of Circles Derive the area formula for circles. Solve application problems that involve areas of circles.

Name Period Date GEOMETRY AND MEASUREMENT Student Pages for Packet 2: Circles GEO2.1 Circumference Use multiple representations to explore the relationship between the diameter and the circumference of

### Simple Solutions Mathematics. Part A. Algebra I Part A. Help Pages & Who Knows

Simple Solutions Mathematics Algebra I Part A & Who Knows 83 Vocabulary General Absolute Value the distance between a number, x, and zero on a number line; written as x. Example: 5 = 5 reads The absolute

### C=2πr C=πd. Chapter 10 Circles Circles and Circumference. Circumference: the distance around the circle

10.1 Circles and Circumference Chapter 10 Circles Circle the locus or set of all points in a plane that are A equidistant from a given point, called the center When naming a circle you always name it by

### MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

MGF 1106 Exam #3 Review Sheet Chapters 8-9 Fill in the missing value. 1) 816 mm = cm 2) 54.96 m = km 3) 492 L = ml 4) 800 mg = kg 5) 25 kg = mg Arrange the quantities in order from smallest to largest.

### Geometric Formulas (page 474) Name

LESSON 91 Geometric Formulas (page 474) Name Figure Perimeter Area Square P = 4s A = s 2 Rectangle P = 2I + 2w A = Iw Parallelogram P = 2b + 2s A = bh Triangle P = s 1 + s 2 + s 3 A = 1_ 2 bh Teacher Note:

### 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

### Diagnostic Assessment Number and Quantitative Reasoning

Number and Quantitative Reasoning Select the best answer.. Which list contains the first four multiples of 3? A 3, 30, 300, 3000 B 3, 6, 9, 22 C 3, 4, 5, 6 D 3, 26, 39, 52 2. Which pair of numbers has

### Name Score Period Date. m = 2. Find the geometric mean of the two numbers. Copy and complete the statement.

Chapter 6 Review Geometry Name Score Period Date Solve the proportion. 3 5 1. = m 1 3m 4 m = 2. 12 n = n 3 n = Find the geometric mean of the two numbers. Copy and complete the statement. 7 x 7? 3. 12

### MATHEMATICS Grade 5 Standard: Number, Number Sense and Operations. Organizing Topic Benchmark Indicator

Standard: Number, Number Sense and Operations Number and A. Represent and compare numbers less than 0 through 6. Construct and compare numbers greater than and less Number Systems familiar applications

### Name. 9. Find the diameter and radius of A, B, and C. State the best term for the given figure in the diagram.

Name LESSON 10.1 State the best term for the given figure in the diagram. 9. Find the diameter and radius of A, B, and C. 10. Describe the point of intersection of all three circles. 11. Describe all the

### 0-8 Area. Find the area of each figure. 1. SOLUTION: The area of the rectangle is 6 square centimeters. 2. SOLUTION:

Find the area of each figure. 1. The area of the rectangle is 6 square centimeters. 2. The area of the square is 36 square inches. 3. The area of the parallelogram is 120 square meters. esolutions Manual

### 11.3 areas of circles and sectors 2016 ink.notebook. April 12, Page 134 Page Areas of Circles and Sectors. Standards.

11.3 areas of circles and sectors 2016 ink.notebook Page 134 Page 133 11.3 Areas of Circles and Sectors Round to the nearest Lesson Objectives Standards Lesson Notes 11.3 Areas of Circles and Sectors Lesson

### Classwork 8.1. Perform the indicated operation and simplify each as much as possible. 1) 24 2) ) 54w y 11) wy 6) 5 9.

- 7 - Classwork 8.1 Name Perform the indicated operation and simplify each as much as possible. 1) 4 7) 16+ 5 49 ) 5 4 8) 11 6 81 ) 5 4x 9) 9 x + 49x 4) 75w 10) 6 5 54w y 5) 80wy 11) 15 6 6) 5 9 1) 15x

### Tangent Lines Unit 10 Lesson 1 Example 1: Tell how many common tangents the circles have and draw them.

Tangent Lines Unit 10 Lesson 1 EQ: How can you verify that a segment is tangent to a circle? Circle: Center: Radius: Chord: Diameter: Secant: Tangent: Tangent Lines Unit 10 Lesson 1 Example 1: Tell how

### ( ) = 28. 2r = d 2 = = r d = r. 2 = r or 1. Free Pre-Algebra Lesson 33! page 1. Lesson 33 Formulas for Circles

Free Pre-Algebra Lesson 33! page 1 Lesson 33 Formulas for Circles What is a Circle? Everyone knows what a circle looks like. A sprinkler line rotates around a center pivot, forming circles of irrigated

### Section 5.3: Solving Problems with Circles

Section 5.3: Solving Problems with Circles Section Overview: In this section circumference and area of a circle will be explored from the perspective of scaling. Students will start by measuring the diameter

### WITH MATH INTERMEDIATE/MIDDLE (IM) GRADE 5

May 06 VIRGINIA MATHEMATICS STANDARDS OF LEARNING CORRELATED TO MOVING WITH MATH INTERMEDIATE/MIDDLE (IM) GRADE 5 NUMBER AND NUMBER SENSE 5.1 The student will a. read, write, and identify the place values

### Geometry Cumulative Review

Geometry Cumulative Review Name 1. Find a pattern for the sequence. Use the pattern to show the next term. 1, 3, 9, 27,... A. 81 B. 45 C. 41 D. 36 2. If EG = 42, find the value of y. A. 5 B. C. 6 D. 7

### Semester Review

Class: Date: Semester Review 2017-2018 Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Find the Area of the Rectangle. a. 20in 2 b. 9in 2 c. 18in 2 d.

### KCATM Geometry Group Test

KCATM Geometry Group Test Group name Choose the best answer from A, B, C, or D 1. A pole-vaulter uses a 15-foot-long pole. She grips the pole so that the segment below her left hand is twice the length

### Name: GEOMETRY: EXAM (A) A B C D E F G H D E. 1. How many non collinear points determine a plane?

GMTRY: XM () Name: 1. How many non collinear points determine a plane? ) none ) one ) two ) three 2. How many edges does a heagonal prism have? ) 6 ) 12 ) 18 ) 2. Name the intersection of planes Q and

### 221 MATH REFRESHER session 3 SAT2015_P06.indd 221 4/23/14 11:39 AM

Math Refresher Session 3 1 Area, Perimeter, and Volume Problems Area, Perimeter, and Volume 301. Formula Problems. Here, you are given certain data about one or more geometric figures, and you are asked

### ANSWERS STUDY GUIDE FOR THE FINAL EXAM CHAPTER 1

ANSWERS STUDY GUIDE FOR THE FINAL EXAM CHAPTER 1 N W A S Use the diagram to answer the following questions #1-3. 1. Give two other names for. Sample answer: PN O D P d F a. Give two other names for plane.

### Unit 1. GSE Analytic Geometry EOC Review Name: Units 1 3. Date: Pd:

GSE Analytic Geometry EOC Review Name: Units 1 Date: Pd: Unit 1 1 1. Figure A B C D F is a dilation of figure ABCDF by a scale factor of. The dilation is centered at ( 4, 1). 2 Which statement is true?

### 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.

### Geometry Honors Final Exam REVIEW

Class: Date: Geometry Honors Final Exam 2010-11 REVIEW Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Determine whether the quadrilateral is a parallelogram.

### 4.! ABC ~ DEF,! AC = 6 ft, CB = 3 ft, AB = 7 ft, DF = 9 ft.! What is the measure of EF?

Name:!!!!!!!!!!!!! Geo(2) GEOMETRY (2) REVIEW FOR FINAL EXAM #2 1. If ABC is similar to ADE, then AB AD =? AE. Which replaces the? to make the statement true? A. AC!! B. AE!! C. DE!! D. BC 2. In ABC,

### Lesson 12.1 Skills Practice

Lesson 12.1 Skills Practice Name Date Introduction to Circles Circle, Radius, and Diameter Vocabulary Define each term in your own words. 1. circle 2. center of a circle 3. radius of a circle 4. diameter

### Name two radii in Circle E.

A C E B D Name two radii in Circle E. Unit 4: Prerequisite Terms A C E B D ECandED Unit 4: Prerequisite Terms A C E B D Name all chords in Circle E. Unit 4: Prerequisite Terms A C E B D AD, CD, AB Unit

### Integers include positive numbers, negative numbers, and zero. When we add two integers, the sign of the sum depends on the sign of both addends.

Adding Integers Reteaching 31 Math Course 3, Lesson 31 Integers include positive numbers, negative numbers, and zero. When we add two integers, the sign of the sum depends on the sign of both addends.

### Final Exam Review Packet

Final Exam Review Packet Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Find the length of the missing side. The triangle is not drawn to scale. 6 8 a.

### Math Self-Test Version Form A Measurement and Geometry

Math Self-Test Version 0.1.1 Form A Measurement and Geometry Draw each object and describe the key characteristics that define the object. [3 pts. each] 1) Acute Triangle 2) Arc 3) Chord 4) Cube 5) Cylinder

### 0611ge. Geometry Regents Exam Line segment AB is shown in the diagram below.

0611ge 1 Line segment AB is shown in the diagram below. In the diagram below, A B C is a transformation of ABC, and A B C is a transformation of A B C. Which two sets of construction marks, labeled I,

### 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

### G.C.B.5: Arc Length 1

Regents Exam Questions G.C.B.5: Arc Length www.jmap.org Name: G.C.B.5: Arc Length The diagram below shows circle O with radii OA and OB. The measure of angle AOB is 0, and the length of a radius is inches.

### Final Exam Review. Multiple Choice Identify the choice that best completes the statement or answers the question.

( Final Exam Review Multiple hoice Identify the choice that best completes the statement or answers the question. 1. is an isosceles triangle. is the longest side with length. = and =. Find. 4 x + 4 7

### Grade Demonstrate mastery of the multiplication tables for numbers between 1 and 10 and of the corresponding division facts.

Unit 1 Number Theory 1 a B Find the prime factorization of numbers (Lesson 1.9) 5.1.6 Describe and identify prime and composite numbers. ISTEP+ T1 Pt 1 #11-14 1b BD Rename numbers written in exponential

### 5.1 The student, given a decimal through thousandths, will round to the nearest whole number, tenth, or hundredth.

5.1 The student, given a decimal through thousandths, will round to the nearest whole number, tenth, or hundredth. The structure of the Base-10 number system is based upon a simple pattern of tens in which

### Algebra I Part B. Help Pages & Who Knows

Algebra I Part B & Who Knows 83 Vocabulary General Absolute Value the distance between a number,, and zero on a number line; written as. Eample: 5 = 5 reads The absolute value of 5 is 5. -7 = 7 reads The

### 6.2: Isosceles Triangles

6.2: Isosceles Triangles Dec 5 4:34 PM 1 Define an Isosceles Triangle. A triangle that has (at least) two sides of equal length. Dec 5 4:34 PM 2 Draw an Isosceles Triangle. Label all parts and mark the

### Circles Unit Test. Secondary Math II

Circles Unit Test Secondary Math II 1. Which pair of circles described are congruent to each other? Circle M has a radius of 6 m; Circle N has a diameter of 10 m. Circle J has a circumference of in; Circle

### 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?

### Fifth Grade Mathematics Mathematics Course Outline

Crossings Christian School Academic Guide Middle School Division Grades 5-8 Fifth Grade Mathematics Place Value, Adding, Subtracting, Multiplying, and Dividing s will read and write whole numbers and decimals.

### Geometry Pre-Unit 1 Intro: Area, Perimeter, Pythagorean Theorem, Square Roots, & Quadratics. P-1 Square Roots and SRF

Geometry Pre-Unit 1 Intro: Area, Perimeter, Pythagorean Theorem, Square Roots, & Quadratics P-1 Square Roots and SRF Square number the product of a number multiplied by itself. 1 * 1 = 1 1 is a square

### 1. Draw and label a diagram to illustrate the property of a tangent to a circle.

Master 8.17 Extra Practice 1 Lesson 8.1 Properties of Tangents to a Circle 1. Draw and label a diagram to illustrate the property of a tangent to a circle. 2. Point O is the centre of the circle. Points

### Chapter 7 Sect. 2. A pythagorean triple is a set of three nonzero whole numbers a, b, and c, that satisfy the equation a 2 + b 2 = c 2.

Chapter 7 Sect. 2 The well-known right triangle relationship called the Pythagorean Theorem is named for Pythagoras, a Greek mathematician who lived in the sixth century b.c. We now know that the Babylonians,

### BLoCK 4 ~ ratios, rates And PerCents

BLoCK 4 ~ ratios, rates And PerCents circles and similarity Lesson 20 ParTs of circles ------------------------------------------------------ 114 Explore! What Is It? Lesson 21 circumference of a circle

### MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Exam Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Use the appropriate identity to find the indicated function value. Rationalize the denominator,

### Understand and Apply Theorems about Circles

UNIT 4: CIRCLES AND VOLUME This unit investigates the properties of circles and addresses finding the volume of solids. Properties of circles are used to solve problems involving arcs, angles, sectors,

### Math-2A. Lesson 10-3: Area of: -Triangles -rectangles -circles -trapezoids and Surface Area of: -Rectangular Prisms

Math-A Lesson 10-3: Area of: -Triangles -rectangles -circles -trapezoids and Surface Area of: -Rectangular Prisms Describe the idea of area. Area attempts to answer the question how big is it? The area

### Unit 4A Part B 1) The radius of a circular clock face is 13 centimeters. Which expression can be used to find the

7.5B 1) The radius of a circular clock face is 13 centimeters. Which expression can be used to find the circumference of the clock face in centimeters? F. G. 2) Information about three circles is listed

### G.C.B.5: Arc Length 1

Regents Exam Questions G.C.B.5: Arc Length 1 www.jmap.org Name: G.C.B.5: Arc Length 1 1 A sprinkler system is set up to water the sector shown in the accompanying diagram, with angle ABC measuring 1 radian

### 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

### CIRCLES MODULE - 3 OBJECTIVES EXPECTED BACKGROUND KNOWLEDGE. Circles. Geometry. Notes

Circles MODULE - 3 15 CIRCLES You are already familiar with geometrical figures such as a line segment, an angle, a triangle, a quadrilateral and a circle. Common examples of a circle are a wheel, a bangle,

### Geometry Review 1. a. What is the median of the data displayed on the line plot? How many people participated in the contest?

Name: ate: 1 The numbers below represent the ages of the first ten people in line at the movie theater. Which line plot correctly displays the data? 22, 30, 23, 22, 27, 27, 29, 23, 30, 22 2 There was a

### 0112ge. Geometry Regents Exam Line n intersects lines l and m, forming the angles shown in the diagram below.

Geometry Regents Exam 011 011ge 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

### Chords and Arcs. Objectives To use congruent chords, arcs, and central angles To use perpendicular bisectors to chords

- hords and rcs ommon ore State Standards G-.. Identify and describe relationships among inscribed angles, radii, and chords. M, M bjectives To use congruent chords, arcs, and central angles To use perpendicular

### Geometry: Hutschenreuter Semester II. Select the best answer for each question. Show expected work. MAKE A SUPPORTING SKETCH!

Geometry: Hutschenreuter Semester II Review B Name Period Date Select the best answer for each question. Show expected work. MAKE A SUPPORTING SKETCH! 1. A parallelogram has a diagonal of 41 cm and side

1 add addend additive comparison area area model common factor common multiple compatible numbers compose composite number counting number decompose difference digit divide dividend divisible divisor equal

### Kansas City Area Teachers of Mathematics 2018 KCATM Math Competition. GEOMETRY and MEASUREMENT GRADE 7-8

Kansas City Area Teachers of Mathematics 2018 KCATM Math Competition INSTRUCTIONS GEOMETRY and MEASUREMENT GRADE 7-8 Do not open this booklet until instructed to do so. Time limit: 20 minutes Mark your

### Destination Math. Scope & Sequence. Grades K 12 solutions

Destination Math Scope & Sequence Grades K 12 solutions Table of Contents Destination Math Mastering Skills & Concepts I: Pre-Primary Mathematics, Grades K-1... 3 Destination Math Mastering Skills & Concepts

### 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

### Harbor Creek School District

Numeration Unit of Study Big Ideas Algebraic Concepts How do I match a story or equation to different symbols? How do I determine a missing symbol in an equation? How does understanding place value help

### 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)

### Unit 3, Lesson 1: How Well Can You Measure?

Unit 3, Lesson 1: How Well Can You Measure? Let s see how accurately we can measure. 1.1: Estimating a Percentage A student got 16 out of 21 questions correct on a quiz. Use mental estimation to answer

### End of Course Review

End of Course Review Geometry AIR Test Mar 14 3:07 PM Test blueprint with important areas: Congruence and Proof 33 39% Transformations, triangles (including ASA, SAS, SSS and CPCTC), proofs, coordinate/algebraic

### 17. The length of a diagonal of a square is 16 inches. What is its perimeter? a. 8 2 in. b in. c in. d in. e in.

Geometry 2 nd Semester Final Review Name: 1. Pentagon FGHIJ pentagon. 2. Find the scale factor of FGHIJ to KLMNO. 3. Find x. 4. Find y. 5. Find z. 6. Find the scale factor of ABCD to EFGD. 7. Find the