Circles. Parts of a Circle Class Work Use the diagram of the circle with center A to answer the following: Angles & Arcs Class Work


 Gabriella Newman
 3 years ago
 Views:
Transcription
1 Circles Parts of a Circle Class Work Use the diagram of the circle with center A to answer the following: 1. Name the radii 2. Name the chord(s) 3. Name the diameter(s) 4. If AC= 7, what does TC=? 5. If CT= 13, what does MA=? 6. Draw a tangent line to the circle at M. 7. What is the difference between a chord and a secant? Draw the common tangents for each set of circles If a circle has a center of (7,6) and is tangent to the xaxis, how big is the radius? 12. If a circle has a center of (7,6) and is tangent to the yaxis, how big is the diameter? Homework Use the diagram of the circle with center C to answer the following: 13. Name the radii 14. Name the chord(s) 15. Name the diameter(s) 16. If CE=8, what does BD=? 17. Which is longer DB or AB? Justify. 18. Draw a tangent line to the circle at A. 19. What is the difference between a tangent and a secant? Draw the common tangents for each set of circles If a circle has a center of (3,6) and is tangent to the xaxis, how long is the radius? 24. If a circle has a center of (3, 6) and is tangent to the yaxis, how long is the diameter? Angles & Arcs Class Work In C, m BCD = 110, m ACE = 80, and CE= 5, find the following 25. mae 26. mab Geometry  Circles ~1~ NJCTL.org
2 27. mad 28. mebd 29. mbed 30. length of AE 31. length of mab 32. length of AD 33. length of EBD 34. length of BED 35. If the central angle of a circle has measure 60 o and makes a minor arc with length 15, what is the radius? 36. If the arc of a circle has length 8π and the circumference of the circle is 24π, what is the measure of the central angle that intercepts the arc? Two concentric circles have center P, PS=6 and SU= Which is greater: mrs or mtu? 38. Which is greater: the length of RS or the length of TU? 39. TPU = 90, how long would chord TU be? Homework In C, m BCD = 130, m ACE = 60, and CE= 8, find the following 40. mae 41. mab 42. mad 43. mebd 44. mbed 45. length of AE 46. length of mab 47. length of AD 48. length of EBD 49. length of BED 50. If the central angle of a circle has measure 80 o and makes a minor arc with length 12, what is the radius? 51. If the arc of a circle has length 10π and the circumference of the circle is 30π, what is the measure of the central angle that intercepts the arc? Two concentric circles have center P, PS=3 and SU= Which is greater: mrs or mtu? 53. Which is greater: the length of RS or the length of TU? 54. TPU = 90, how long would chord TU be? Geometry  Circles ~2~ NJCTL.org
3 Chords, Inscribed Angles, & Polygons Class Work Solve for the variable in each problem. C is the center of the circle Geometry  Circles ~3~ NJCTL.org
4 Homework Solve for the variable in each problem. C is the center of the circle Tangents & Secants Class Work Solve for the variable in each problem. C is the center of the circle Geometry  Circles ~4~ NJCTL.org
5 Homework Solve for the variable in each problem. C is the center of the circle Geometry  Circles ~5~ NJCTL.org
6 Segments & Circles Class Work Find the value of the variable. C is the center of the circle Geometry  Circles ~6~ NJCTL.org
7 Homework Find the value of the variable. C is the center of the circle Equations of a Circle Class Work What are the center and the radius of the following circles? 145. (x + 2) 2 + (y 4) 2 = (x 3) 2 + (y 7) 2 = (x) 2 + (y + 8) 2 = (x 7) 2 + (y + 1) 2 = (x + 6) 2 + (y) 2 = 32 Write the standard form of the equation for the given information center (3,2) radius center (4, 7) radius center (5, 9) radius center (8, 0) diameter center (4,5) and point on the circle (3, 7) 155. diameter with endpoints (6, 4) and (10, 8) 156. center (4, 9) and tangent to the xaxis 157. x 2 + 4x + y 2 8y = x 2 10x + y 2 + 2y = x 2 + 7x + y 2 = 11 Are the following points on the circle (x3) 2 +(y+4) 2 =25? Support your answer with your work (3,1) Geometry  Circles ~7~ NJCTL.org
8 161. (0,0) 162. (4,1) Homework What are the center and the radius of the following circles? 163. (x 9) 2 + (y + 5) 2 = (x + 11) 2 + (y 8) 2 = (x + 13) 2 + (y 3) 2 = (x 2) 2 + (y) 2 = (x 6) 2 + (y 15) 2 = 40 Write the standard form of the equation for the given information center (2, 4) radius center (3, 3) radius center (5, 8) radius center (0, 8) diameter center (4,6) and point on the circle (2, 8) 173. diameter with endpoints (5, 14) and (11, 8) 174. center (4, 9) and tangent to the yaxis 175. x 2 2x + y y = x x + y y = x x + 4y 2 8y = 12 Are the following points on the circle (x5) 2 +(y12) 2 =169? Support your answer with your work (4,2) 179. (0,0) 180. (7,7) Area of a Sector Classwork Find the area of the minor sector. Round to the nearest hundredth or leave your answer in terms of pi o 183. r=10 cm R=3in R=6ft. 100 o 95 o d=15 in Find the area of the major sector. Round to the nearest hundredth or leave your answer in terms of pi R=3in 220 o R=6ft. 100 o r=10 cm 95 o d=15 in Geometry  Circles ~8~ NJCTL.org
9 Homework Find the area of the minor sector. Round to the nearest hundredth or leave your answer in terms of pi d=10ft. 115 o 105 o r=6.7 m 74 o 47o r=2.3 cm d=21in Find the area of the major sector. Round to the nearest hundredth or leave your answer in terms of pi d=10ft. 115 o 105 o r=6.7 m 74 o 47o r=2.3 cm d=21in Multiple Choice For questions 13, use the diagram at the right of F 1. Name a secant of the circle a. FA b. AC c. BE d. BC 2. BF= 7 and tangent BE= 9, what is AE? a b c d m BCA = 20 and BD= 8, what is the length of BC? a b c d If AB is a diameter and mac = 50, then what is the measure of ABC? a. 50 b. 130 c. 230 d What is the area of the major sector for the circle in question Find a. a. 200 b. 300 c. 240 d Find b. a. 70 b. 110 c. 150 d. 210 Geometry  Circles ~9~ NJCTL.org
10 8. Find c. a. 65 b. 35 c. 30 d. not enough information 9. Find d. a. 20 b. 40 c. 50 d Find e. a. 7.5 b. 8 c. 8.5 d Find f. a. 2 b. 3 c. 4 d Find g. a. 2 b c. 8 d Find x. a. 3 b c. 9 d What is the equation of the circle drawn? a. (x 4) 2 + (y 6) 2 = 4 b. (x + 4) 2 + (y + 6) 2 = 6 c. (x 4) 2 + (y 6) 2 = 16 d. (x + 4) 2 + (y + 6) 2 = 36 Geometry  Circles ~10~ NJCTL.org
11 Extended Response 1. The points (3,2) and (9,12) are the endpoints of a diameter of a circle a. Where is the center of the circle? b. How long is the diameter of the circle? c. Write the equation of the circle? d. Is the point (5,6) on the circle? Justify your answer. 2. S, T, U, and V are points of tangency of A and B. TH= 4x+8, SH= 6x+4, HU=x+2y, and HV= 4x2y. a. Find x. b. Find y. c. If AB= 25 and UB(not drawn)=5, what is the length of AT(not drawn)? 3. In the diagram AB CD and CD is a diameter. a. If mab = 40 find the measure of BC. b. If AB= 12 and CD= 20, how far the center is? AB c. Using the information from parts a and b, how long is ACB? Geometry  Circles ~11~ NJCTL.org
12 1. Segments AT, AM, AC 2. Segments JH, TC 3. Segment TC Tangent line touches the circle at M 7. A chord has endpoints on the circle, while a secant passes through. 8. Four tangent lines. Two of the tangent lines touch the outsides of the two circles, while the other two make a diagonal in the middle of the two circles. 9. Two tangent lines on the outsides of the two circles. 10. One tangent line at the bottom 11. R=6 12. D= Segments CD, CB, and CE 14. Segments AB, DB 15. Segment DB Segment DB, diameter is longest chord of a circle 18. Tangent line passes through A 19. A tangent touches at one point, while a secant touches at two points 20. Two tangent lines on the outside. Two more tangent lines making a diagonal through the middle. 21. One tangent line through the center of the two touching circles. Two more tangent lines, one at the top and one at the bottom. 22. No tangent lines 23. R=6 24. R= Answer Key /π degrees 37. They are equal 38. TU is longer degrees 52. They are equal 53. TU is longer X= degrees degrees 58. X=3 59. X= degrees 61. X= degrees 63. X= degrees degrees degrees 67. X=170 degrees 68. X=20 degrees 69. X= X=70 degrees 71. a=25; b= x=80 degrees 73. v=4 Geometry  Circles ~12~ NJCTL.org
13 74. b= 80 degrees 75. n=220 degrees 76. F=40 degrees 77. R= x=4 79. x= k= d= h=60 degrees 84. g= d= e= n= d=110 degrees 89. e=5 f= f= x= x=9 93. x=4 94. c= g=8 96. x=2, y=6 97. c= x=7 99. x= a= k= x= h= f= g= b= m= f= t= g= g= x=3; y= j= r= x= d= x=70/ x= degrees degrees 123. x= a=30 degrees 125. d= d=60 degrees 127. n= x= x= x= x= x= x= x= x= n= r= h= x= y= k= v= x= a= C(2,4); r= C (3,7); r= C (),8); r= C (7,1); r= C (6,0); r = (x3) 2 + (x2) 2 = (x+4) 2 + (Y+7) 2 = (x5) 2 + (y+9) 2 = (x+8) 2 + y 2 = (x4) 2 + (y5) 2 = (x8) 2 + (y+2) 2 = (x4) 2 + (y9) 2 = (x+2) 2 + (y4) 2 = (x5) 2 + (y+1) 2 = (x+3.5) 2 + y 2 = yes; (33) 2 +(1+4) 2 = yes; (03) 2 +(0+4) 2 =25 Geometry  Circles ~13~ NJCTL.org
14 162. no; (43) 2 +(1+4) 2 = C (9,5) r= C 11, 8) r= C(13, 3) r= C(2,0) r= C (6,15) r= (x+2) 2 +(Y+4) 2 = (x+3) 2 + (y3) 2 = (x5) 2 + (y8) 2 = X 2 + (y8) 2 = (x+4) 2 + (y6) 2 = (x8) 2 + (y3) 2 = (x4) 2 + ( y9) 2 = (x1) 2 + (y+5) 2 = (x+6) 2 + (y+10) 2 = (x+2) 2 + (y1) 2 = no; (45) 2 +(212) 2 = yes; (05) 2 +(012) 2 = yes; (75) 2 +(712) 2 = A = 1.125π in 2 /3.53 in A=14π / ft A=27.78π / cm A=53.13π / in A=7.77π / 24.4 in A=22π / ft A=72.22π / cm A=112.5π / in A=18.06π / ft A=13.09π / m A=1.09π / 3.42 cm A=57.58π / in A=50π / ft A=31.8π / m A=4.2π / 13.2 cm A=220.5π / in 2 8. A 9. D 10. C 11. A 12. A 13. C Extended Response 1. a) (6,7) (b) (c) (x 6) 2 +(y 7) 2 = 136 (d) no; (5 6) 2 +(6 7) 2 = 2 2. (a) 2 (b) 1.5 (c) 3 3. (a) 110 (b) 8 (c) Multiple Choice 1. C 2. C 3. C 4. D 5. A 6. C 7. C Geometry  Circles ~14~ NJCTL.org
MidChapter Quiz: Lessons 101 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
More informationSM2H Unit 6 Circle Notes
Name: Period: SM2H Unit 6 Circle Notes 6.1 Circle Vocabulary, Arc and Angle Measures Circle: All points in a plane that are the same distance from a given point, called the center of the circle. Chord:
More informationChapter 10. Properties of Circles
Chapter 10 Properties of Circles 10.1 Use Properties of Tangents Objective: Use properties of a tangent to a circle. Essential Question: how can you verify that a segment is tangent to a circle? Terminology:
More informationAnswer Key. 9.1 Parts of Circles. Chapter 9 Circles. CK12 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
More informationC=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
More information0113ge. Geometry Regents Exam In the diagram below, under which transformation is A B C the image of ABC?
0113ge 1 If MNP VWX and PM is the shortest side of MNP, what is the shortest side of VWX? 1) XV ) WX 3) VW 4) NP 4 In the diagram below, under which transformation is A B C the image of ABC? In circle
More informationUnit 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. (101) Circles and Circumference
More informationARCS An ARC is any unbroken part of the circumference of a circle. It is named using its ENDPOINTS.
ARCS An ARC is any unbroken part of the circumference of a circle. It is named using its ENDPOINTS. A B X Z Y A MINOR arc is LESS than 1/2 way around the circle. A MAJOR arc is MORE than 1/2 way around
More informationUnderstand 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,
More informationWARM UP. Sunday, November 16, 2014
WARM UP Sunday, November 16, 2014 1 2 3 4 5 6 7 8 9 10 Objectives Use properties of circles to derive the formula for sector area. Determine arc length and arc measure for given central and inscribed angle
More informationExample 1: Finding angle measures: I ll do one: We ll do one together: You try one: ML and MN are tangent to circle O. Find the value of x
Ch 1: Circles 1 1 Tangent Lines 1 Chords and Arcs 1 3 Inscribed Angles 1 4 Angle Measures and Segment Lengths 1 5 Circles in the coordinate plane 1 1 Tangent Lines Focused Learning Target: I will be able
More informationNew 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 noncommercial use of students
More informationGeometry Honors Homework
Geometry Honors Homework pg. 1 121 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
More informationCh 10 Review. Multiple Choice Identify the choice that best completes the statement or answers the question.
Ch 10 Review Multiple Choice Identify the choice that best completes the statement or answers the question. 1. In the diagram shown, the measure of ADC is a. 55 b. 70 c. 90 d. 180 2. What is the measure
More informationArcs and Inscribed Angles of Circles
Arcs and Inscribed Angles of Circles Inscribed angles have: Vertex on the circle Sides are chords (Chords AB and BC) Angle ABC is inscribed in the circle AC is the intercepted arc because it is created
More informationUNIT 3 CIRCLES AND VOLUME Lesson 1: Introducing Circles Instruction
Prerequisite Skills This lesson requires the use of the following skills: performing operations with fractions understanding slope, both algebraically and graphically understanding the relationship of
More informationCircles. II. Radius  a segment with one endpoint the center of a circle and the other endpoint on the circle.
Circles Circles and Basic Terminology I. Circle  the set of all points in a plane that are a given distance from a given point (called the center) in the plane. Circles are named by their center. II.
More information2016 State Mathematics Contest Geometry Test
2016 State Mathematics Contest Geometry Test In each of the following, choose the BEST answer and record your choice on the answer sheet provided. To ensure correct scoring, be sure to make all erasures
More information10.1 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
More information10.1 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
More informationTangent 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
More informationLesson 2B: Thales Theorem
Lesson 2B: Thales Theorem Learning Targets o I can identify radius, diameter, chords, central circles, inscribed circles and semicircles o I can explain that an ABC is a right triangle, then A, B, and
More information1. 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
More information11. Concentric Circles: Circles that lie in the same plane and have the same center.
Circles Definitions KNOW THESE TERMS 1. Circle: The set of all coplanar points equidistant from a given point. 2. Sphere: The set of all points equidistant from a given point. 3. Radius of a circle: The
More informationCircle Practice. D. chord 5. Which of the following is not a radius of the circle?
Name: Date: 1. In circle P, XY is a. 4. How many radii can be named in the diagram? A. radius. diameter A. 2. 3 C. 4 D. 5 C. chord D. circumference 2. In circle P, A is a. A. diameter. radius C. circumference
More information0809ge. Geometry Regents Exam Based on the diagram below, which statement is true?
0809ge 1 Based on the diagram below, which statement is true? 3 In the diagram of ABC below, AB AC. The measure of B is 40. 1) a b ) a c 3) b c 4) d e What is the measure of A? 1) 40 ) 50 3) 70 4) 100
More informationStudy Guide. Exploring Circles. Example: Refer to S for Exercises 1 6.
9 1 Eploring ircles A circle is the set of all points in a plane that are a given distance from a given point in the plane called the center. Various parts of a circle are labeled in the figure at the
More informationSo, 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.
More informationWhat is the longest chord?.
Section: 76 Topic: ircles and rcs Standard: 7 & 21 ircle Naming a ircle Name: lass: Geometry 1 Period: Date: In a plane, a circle is equidistant from a given point called the. circle is named by its.
More informationName. 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
More informationMth 076: Applied Geometry (Individualized Sections) MODULE FOUR STUDY GUIDE
Mth 076: pplied Geometry (Individualized Sections) MODULE FOUR STUDY GUIDE INTRODUTION TO GEOMETRY Pick up Geometric Formula Sheet (This sheet may be used while testing) ssignment Eleven: Problems Involving
More information103 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.
More informationGeometry Final Exam REVIEW
Name: Class: _ Date: _ Geometry Final Exam 0910  REVIEW Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Find the perimeter and area of the parallelogram.
More informationMath 9 Unit 8: Circle Geometry PreExam Practice
Math 9 Unit 8: Circle Geometry PreExam Practice Name: 1. A Ruppell s Griffon Vulture holds the record for the bird with the highest documented flight altitude. It was spotted at a height of about 11 km
More informationIndicate 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.
More information0610ge. 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
More informationCircle Geometry. This booklet belongs to:
Circle Geometry This booklet belongs to: LESSON # DATE QUESTIONS FROM NOTES 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. Pg. Pg. Pg. Pg. Pg. Pg. Pg. Pg. Pg. Pg. REVIEW TEST Questions that I find difficult Find
More informationMath 9 Chapter 8 Practice Test
Name: Class: Date: ID: A Math 9 Chapter 8 Practice Test Short Answer 1. O is the centre of this circle and point Q is a point of tangency. Determine the value of t. If necessary, give your answer to the
More informationLesson 9. Exit Ticket Sample Solutions ( )= ( ) The arc length of is (. ) or.. Homework Problem Set Sample Solutions S.79
Exit Ticket Sample Solutions 1. Find the arc length of. ( )= ()() ( )=. ( ) = The arc length of is (. ) or.. Homework Problem Set Sample Solutions S.79 1. and are points on the circle of radius, and the
More informationAssignment. Riding a Ferris Wheel Introduction to Circles. 1. For each term, name all of the components of circle Y that are examples of the term.
ssignment ssignment for Lesson.1 Name Date Riding a Ferris Wheel Introduction to Circles 1. For each term, name all of the components of circle Y that are examples of the term. G R Y O T M a. Chord b.
More informationKEY STANDARDS ADDRESSED: MM2G3. Students will understand the properties of circles.
KEY STANDARDS ADDRESSED:. Students will understand the properties of circles. a. Understand and use properties of chords, tangents, and secants an application of triangle similarity. b. Understand and
More informationMeet #4. Math League SCASD. Selfstudy Packet. Problem Categories for this Meet (in addition to topics of earlier meets):
Math League SCASD Meet #4 Selfstudy Packet Problem Categories for this Meet (in addition to topics of earlier meets): 1. Mystery: Problem solving 2. : Properties of Circles 3. Number Theory: Modular Arithmetic,
More information0114ge. Geometry Regents Exam 0114
0114ge 1 The midpoint of AB is M(4, 2). If the coordinates of A are (6, 4), what are the coordinates of B? 1) (1, 3) 2) (2, 8) 3) (5, 1) 4) (14, 0) 2 Which diagram shows the construction of a 45 angle?
More informationCopy Material. Geometry Unit 5. Circles With and Without Coordinates. Eureka Math. Eureka Math
Copy Material Geometry Unit 5 Circles With and Without Coordinates Eureka Math Eureka Math Lesson 1 Lesson 1: Thales Theorem Circle A is shown below. 1. Draw two diameters of the circle. 2. Identify the
More informationChapter 12 Practice Test
hapter 12 Practice Test Multiple hoice Identify the choice that best completes the statement or answers the question. ssume that lines that appear to be tangent are tangent. is the center of the circle.
More informationMath & 8.7 Circle Properties 8.6 #1 AND #2 TANGENTS AND CHORDS
Math 9 8.6 & 8.7 Circle Properties 8.6 #1 AND #2 TANGENTS AND CHORDS Property #1 Tangent Line A line that touches a circle only once is called a line. Tangent lines always meet the radius of a circle at
More informationName. Chapter 12: Circles
Name Chapter 12: Circles Chapter 12 Calendar Sun Mon Tue Wed Thu Fri Sat May 13 12.1 (Friday) 14 Chapter 10/11 Assessment 15 12.2 12.1 11W Due 16 12.3 12.2 HW Due 17 12.1123 Review 12.3 HW Due 18 12.1123
More informationPreTest. Use the following figure to answer Questions 1 through 6. B C. 1. What is the center of the circle? The center of the circle is point G.
PreTest Name Date Use the following figure to answer Questions 1 through 6. A B C F G E D 1. What is the center of the circle? The center of the circle is point G. 2. Name a radius of the circle. A radius
More informationradii: AP, PR, PB diameter: AB chords: AB, CD, AF secant: AG or AG tangent: semicircles: ACB, ARB minor arcs: AC, AR, RD, BC,
h 6 Note Sheets L Shortened Key Note Sheets hapter 6: iscovering and roving ircle roperties eview: ircles Vocabulary If you are having problems recalling the vocabulary, look back at your notes for Lesson
More information17. 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
More informationMaharashtra State Board Class X Mathematics Geometry Board Paper 2015 Solution. Time: 2 hours Total Marks: 40
Maharashtra State Board Class X Mathematics Geometry Board Paper 05 Solution Time: hours Total Marks: 40 Note: () Solve all questions. Draw diagrams wherever necessary. ()Use of calculator is not allowed.
More informationApril 28, 2017 Geometry 11.1 Circumference and Arc Length
11.1 Warmup April 28, 2017 Geometry 11.1 Circumference and Arc Length 1 Geometry 11.1 Circumference and Arc Length mbhaub@mpsaz.org 11.1 Essential Question How can you find the length of a circular arc?
More information0609ge. Geometry Regents Exam AB DE, A D, and B E.
0609ge 1 Juliann plans on drawing ABC, where the measure of A can range from 50 to 60 and the measure of B can range from 90 to 100. Given these conditions, what is the correct range of measures possible
More information0110ge. Geometry Regents Exam Which expression best describes the transformation shown in the diagram below?
0110ge 1 In the diagram below of trapezoid RSUT, RS TU, X is the midpoint of RT, and V is the midpoint of SU. 3 Which expression best describes the transformation shown in the diagram below? If RS = 30
More informationJEFFERSON MATH PROJECT REGENTS AT RANDOM
JEFFERSON MATH PROJECT REGENTS AT RANDOM The NY Geometry Regents Exams Fall 2008August 2009 Dear Sir I have to acknolege the reciept of your favor of May 14. in which you mention that you have finished
More information10. Circles. Q 5 O is the centre of a circle of radius 5 cm. OP AB and OQ CD, AB CD, AB = 6 cm and CD = 8 cm. Determine PQ. Marks (2) Marks (2)
10. Circles Q 1 True or False: It is possible to draw two circles passing through three given noncollinear points. Mark (1) Q 2 State the following statement as true or false. Give reasons also.the perpendicular
More informationCocoa and Cram Midterm Review for Geometry
Name: Cocoa and Cram Midterm Review for Geometry 1. PR is represented by which sketch? a. c. b. d. 2. Two distinct planes intersect. Describe their intersection. Draw a sketch to support your answer. 3.
More informationRiding a Ferris Wheel. Students should be able to answer these questions after Lesson 10.1:
.1 Riding a Ferris Wheel Introduction to ircles Students should be able to answer these questions after Lesson.1: What are the parts of a circle? How are the parts of a circle drawn? Read Question 1 and
More informationLESSON 2: CIRCLES AND SECTORS
LESSON : CIRCLES AND SECTORS G.C.1 1. B similar G.C.1. Similar figures have the same shape and proportional size differences. This is true of circles in which the radius is used to scale the figure larger
More informationSample Documents. NY Regents Math (I III) (NY1)
Sample Documents NY Regents Math (I III) (NY1) E D U C A I D E S O F T W A R E Copyright c 1999 by EAS EducAide Software Inc. All rights reserved. Unauthorized reproduction of this document or the related
More informationCircles and Volume. Circle Theorems. Essential Questions. Module Minute. Key Words. What To Expect. Analytical Geometry Circles and Volume
Analytical Geometry Circles and Volume Circles and Volume There is something so special about a circle. It is a very efficient shape. There is no beginning, no end. Every point on the edge is the same
More informationCircles. Riding a Ferris Wheel. Take the Wheel. Manhole Covers. Color Theory. Solar Eclipses Introduction to Circles...
Circles That s no moon. It s a picture of a solar eclipse in the making. A solar eclipse occurs when the Moon passes between the Earth and the Sun. Scientists can predict when solar eclipses will happen
More informationUnit 8 Circle Geometry Exploring Circle Geometry Properties. 1. Use the diagram below to answer the following questions:
Unit 8 Circle Geometry Exploring Circle Geometry Properties Name: 1. Use the diagram below to answer the following questions: a. BAC is a/an angle. (central/inscribed) b. BAC is subtended by the red arc.
More information( ) ( ) Geometry Team Solutions FAMAT Regional February = 5. = 24p.
. A 6 6 The semi perimeter is so the perimeter is 6. The third side of the triangle is 7. Using Heron s formula to find the area ( )( )( ) 4 6 = 6 6. 5. B Draw the altitude from Q to RP. This forms a 454590
More informationCircles 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
More informationGeometry Final Exam 2014 Study Guide. Name Date Block
Geometry Final Exam 014 Study Guide Name Date Block The final exam for Geometry will take place on June 5. The following study guide will help you prepare for the exam. Everything we have covered is fair
More information( ) Chapter 10 Review Question Answers. Find the value of x mhg. m B = 1 2 ( 80  x) H x G. E 30 = 80  x. x = 50. Find m AXB and m Y A D X 56
hapter 10 Review Question nswers 1. ( ) Find the value of mhg 30 m = 1 2 ( 30) = 15 F 80 m = 1 2 ( 80  ) H G E 30 = 80  = 50 2. Find m X and m Y m X = 1 120 + 56 2 ( ) = 88 120 X 56 Y m Y = 1 12056
More information0811ge. Geometry Regents Exam BC, AT = 5, TB = 7, and AV = 10.
0811ge 1 The statement "x is a multiple of 3, and x is an even integer" is true when x is equal to 1) 9 2) 8 3) 3 4) 6 2 In the diagram below, ABC XYZ. 4 Pentagon PQRST has PQ parallel to TS. After a translation
More information0811ge. Geometry Regents Exam
0811ge 1 The statement "x is a multiple of 3, and x is an even integer" is true when x is equal to 1) 9 ) 8 3) 3 4) 6 In the diagram below, ABC XYZ. 4 Pentagon PQRST has PQ parallel to TS. After a translation
More information( ) Find the value of x mhg. H x G. Find m AXB and m Y A D X 56. Baroody Page 1 of 18
1. ( ) Find the value of x mhg 30 F 80 H x G E 2. Find m X and m Y 120 X 56 Y aroody age 1 of 18 3. Find mq X 70 30 Y Q 4. Find the radius of a circle in which a 48 cm. chord is 8 cm closer to the center
More informationLLT Education Services
8. The length of a tangent from a point A at distance 5 cm from the centre of the circle is 4 cm. Find the radius of the circle. (a) 4 cm (b) 3 cm (c) 6 cm (d) 5 cm 9. From a point P, 10 cm away from the
More informationBOARD QUESTION PAPER : MARCH 2016 GEOMETRY
BOARD QUESTION PAPER : MARCH 016 GEOMETRY Time : Hours Total Marks : 40 Note: (i) Solve All questions. Draw diagram wherever necessary. (ii) Use of calculator is not allowed. (iii) Diagram is essential
More informationCircle geometry investigation: Student worksheet
Circle geometry investigation: Student worksheet http://topdrawer.aamt.edu.au/geometricreasoning/goodteaching/exploringcircles/explorepredictconfirm/circlegeometryinvestigations About these activities
More informationCircles. 1. In the accompanying figure, the measure of angle AOB is 50. Find the measure of inscribed angle ACB.
ircles Name: Date: 1. In the accompanying figure, the measure of angle AOB is 50. Find the measure of inscribed angle AB. 4. In the accompanying diagram, P is tangent to circle at and PAB is a secant.
More information1 What is the solution of the system of equations graphed below? y = 2x + 1
1 What is the solution of the system of equations graphed below? y = 2x + 1 3 As shown in the diagram below, when hexagon ABCDEF is reflected over line m, the image is hexagon A'B'C'D'E'F'. y = x 2 + 2x
More information10.5 Areas of Circles and Sectors
10.5. Areas of Circles and Sectors www.ck12.org 10.5 Areas of Circles and Sectors Learning Objectives Find the area of circles, sectors, and segments. Review Queue Find the area of the shaded region in
More information0116ge. Geometry Regents Exam RT and SU intersect at O.
Geometry Regents Exam 06 06ge What is the equation of a circle with its center at (5, ) and a radius of 3? ) (x 5) + (y + ) = 3 ) (x 5) + (y + ) = 9 3) (x + 5) + (y ) = 3 4) (x + 5) + (y ) = 9 In the diagram
More information0112ge. 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
More information0616geo. Geometry CCSS Regents Exam x 2 + 4x = (y 2 20)
0616geo 1 A student has a rectangular postcard that he folds in half lengthwise. Next, he rotates it continuously about the folded edge. Which threedimensional object below is generated by this rotation?
More informationTENTH YEAR MATHEMATICS
 The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION TENTH YEAR MATHEMATICS Monday, June 17, 1985 1:15 to 4:15 p.m., only The last page of the booklet is the answer sheet.
More informationLesson 7.1: Central Angles
Lesson 7.1: Central Angles Definition 5.1 Arc An arc is a part of a circle. Types of Arc 1. Minor Arc 2. Major Arc 3. Semicircle Figure 5.1 Definition 5.2 Central Angle A central angle of a circle is an
More information0612ge. Geometry Regents Exam
0612ge 1 Triangle ABC is graphed on the set of axes below. 3 As shown in the diagram below, EF intersects planes P, Q, and R. Which transformation produces an image that is similar to, but not congruent
More informationPractice Test Geometry 1. Which of the following points is the greatest distance from the yaxis? A. (1,10) B. (2,7) C. (3,5) D. (4,3) E.
April 9, 01 Standards: MM1Ga, MM1G1b Practice Test Geometry 1. Which of the following points is the greatest distance from the yaxis? (1,10) B. (,7) C. (,) (,) (,1). Points P, Q, R, and S lie on a line
More informationAREA RELATED TO CIRCLES
CHAPTER 11 AREA RELATED TO CIRCLES (A) Main Concepts and Results Perimeters and areas of simple closed figures. Circumference and area of a circle. Area of a circular path (i.e., ring). Sector of a circle
More informationJEFFERSON MATH PROJECT REGENTS AT RANDOM
JEFFERSON MATH PROJECT REGENTS AT RANDOM The NY Geometry Regents Exams Fall 2008January 2010 Dear Sir I have to acknolege the reciept of your favor of May 14. in which you mention that you have finished
More information1 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)
More information(D) (A) Q.3 To which of the following circles, the line y x + 3 = 0 is normal at the point ? 2 (A) 2
CIRCLE [STRAIGHT OBJECTIVE TYPE] Q. The line x y + = 0 is tangent to the circle at the point (, 5) and the centre of the circles lies on x y = 4. The radius of the circle is (A) 3 5 (B) 5 3 (C) 5 (D) 5
More informationCore Mathematics 2 Radian Measures
Core Mathematics 2 Radian Measures Edited by: K V Kumaran Email: kvkumaran@gmail.com Core Mathematics 2 Radian Measures 1 Radian Measures Radian measure, including use for arc length and area of sector.
More information11.2 Start Thinking Warm Up Cumulative Review Warm Up
11.2 Start Thinking The circle in the diagram has a diameter of 14 inches. What is the area of the circle? Use the area of the circle to calculate the area of the sector created b the given measure of
More informationchapter 1 vector geometry solutions V Consider the parallelogram shown alongside. Which of the following statements are true?
chapter vector geometry solutions V. Exercise A. For the shape shown, find a single vector which is equal to a)!!! " AB + BC AC b)! AD!!! " + DB AB c)! AC + CD AD d)! BC + CD!!! " + DA BA e) CD!!! " "
More informationUNIT 6. BELL WORK: Draw 3 different sized circles, 1 must be at LEAST 15cm across! Cut out each circle. The Circle
UNIT 6 BELL WORK: Draw 3 different sized circles, 1 must be at LEAST 15cm across! Cut out each circle The Circle 1 Questions How are perimeter and area related? How are the areas of polygons and circles
More informationLesson 13: Angle Sum of a Triangle
Lesson 13: Angle Sum of a Triangle Classwork Concept Development 1 + 2 + 3 = 4 + 5 + 6 = 7 + 8 + 9 = 180 Note that the sum of angles 7 and 9 must equal 90 because of the known right angle in the right
More informationCHAPTER 10 SOL PROBLEMS
Modified and Animated By Chris Headlee Dec 2011 CHAPTER 10 SOL PROBLEMS Super Secondgrader Methods SOL Problems; not Dynamic Variable Problems H and J are obtuse and ABC is acute ABC is small acute so
More information0615geo. Geometry CCSS Regents Exam In the diagram below, congruent figures 1, 2, and 3 are drawn.
0615geo 1 Which object is formed when right triangle RST shown below is rotated around leg RS? 4 In the diagram below, congruent figures 1, 2, and 3 are drawn. 1) a pyramid with a square base 2) an isosceles
More information0611ge. 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,
More informationWest Haven Public Schools Unit Planning Organizer
West Haven Public Schools Unit Planning Organizer Subject: Circles and Other Conic Sections Grade 10 Unit: Five Pacing: 4 weeks + 1 week Essential Question(s): 1. What is the relationship between angles
More informationGEOMETRY EXAMINATION
First Round: February 24, 2018 at Regional Testing Centers Second Round: April 14, 2018 at The University of Alabama at Birmingham GEOMETRY EXAMINATION Construction of this test directed by Scott H. Brown
More informationPLC Papers. Created For:
PLC Papers Created For: ed by use of accompanying mark schemes towards the rear to attain 8 out of 10 marks over time by completing Circle Theorems 1 Grade 8 Objective: Apply and prove the standard circle
More informationGeometry H Ch. 10 Test
Geometry H Ch. 10 est 1. In the diagram, point is a point of tangency,, and. What is the radius of? M N J a. 76 c. 72 b. 70 d. 64 2. In the diagram, is tangent to at, is tangent to at,, and. Find the value
More information