( ) Find the value of x mhg. H x G. Find m AXB and m Y A D X 56. Baroody Page 1 of 18


 Letitia Woods
 2 years ago
 Views:
Transcription
1 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
2 3. Find mq X Y Q 4. Find the radius of a circle in which a 48 cm. chord is 8 cm closer to the center than a 40 cm chord. aroody age 2 of 18
3 5. Two circles intersect and have a common chord that measures 120 cm. The radii of the circles are 68 cm and 75 cm. Find the distance between their centers. 6. Find m S X Y aroody age 3 of 18
4 7. Find the radius of a circle if a 72cm chord is 15 cm from the center. 8. Find aroody age 4 of 18
5 9. If EFGH is regular, find the measure of E H O G F E 10. Given O with radius 8, with radius 3, and O = 13, find the length of the common external tangent. aroody age 5 of 18
6 11. Two circles with radii 8 cm and 12 cm are 5 cm apart. Find the length of the common internal tangent. 12.,, and are all tangent to each other. = 8, = 13, and = 11. Find the radii of the three s. aroody age 6 of 18
7 13. flatbed truck is hauling a cylindrical container with a diameter of 6 ft. Find, to the nearest hundredth, the length of a cable needed to hold down the container. 6 ft. E F circular garbage can is wedged into a rectangular corner. The can has a diameter of 50 cm. a. Find the distance from the corner point to the point of contact of the can with the wall ( ) b. Find the distance from the corner point to the can ( ) aroody age 7 of 18
8 15. circular garbage can is wedged into a corner angled at 60. The can has a diameter of 46 cm. a. Find the distance from the corner point to the point of contact of the can with the wall ( ) b. Find the distance from the corner point to the point on the can that is closest to it ( ) 60 O 16. Find the measure of a tangenttangent angle if the measure of the major intercepted arc is 10 less than 4 times the measure of the minor intercepted arc. aroody age 8 of 18
9 17. quadrilateral is inscribed in a circle. Its vertices divide the circle into four arcs in the ratio 1:2:5:4. Find the measures of the angles of the quadrilateral. 18. T is a tangent segment. Find the radius of O. O Q T Find the radius of a circle if a central angle of 85 intercepts an arc with length of 17 feet. aroody age 9 of 18
10 20. Given the information shown below, find the radius of the arc J is a tangent to. Find the measure of all the letters angles and arcs. e J f a b g d k h m j c i 90 aroody age 10 of 18
11 22. M is the midpoint of. Find m. ( x + 7) M ( 4x  15) ( 3x  31) 23. Q is a tangent. Find m and m STQ. S T R 104 Q aroody age 11 of 18
12 24. is a diameter of. RQ, = 13, and QR = 6. Find R. Q 6 R Find the outer perimeter of the figure, which is composed of semicircles mounted on the sides of a rectangle. 9 4 aroody age 12 of 18
13 26. Find the complete perimeter of the figure quadrilateral is inscribed in a circle. Its diagonals intersect at X. If m = 100, m = 50, and, find m X. aroody age 13 of 18
14 28. & Q are tangent to each other and to the axes as shown. Q = 26 and = 24. Find the coordinates of and Q Q 29. and Q are internally tangent at T. iameter NS of Q is tangent to at. mrm = 42. Find mmn. N M 42 T Q R S aroody age 14 of 18
15 30. The two s are concentric with center E. = 40, = 24, E, and is tangent at. Find F. F E 31. E & F are externally tangent. is tangent to the s at &. E = 10 and F = 4. Find 10 E F aroody age 15 of 18
16 32. Given: O T tangent at T T is midpoint of rove: T T O T Statements Reasons aroody age 16 of 18
17 33. (This is a hard one, but not all that long ~ 7 steps) Given: rove: & Q are internally tangent at T. :T = :T Q T Statements Reasons aroody age 17 of 18
18 34. Given: & E are chords rove: ( ) ( ) = ( ) ( E) E Statements Reasons aroody age 18 of 18
( ) 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 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 informationChapterwise questions
hapterwise questions ircles 1. In the given figure, is circumscribing a circle. ind the length of. 3 15cm 5 2. In the given figure, is the center and. ind the radius of the circle if = 18 cm and = 3cm
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 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 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 informationMidChapter 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 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 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 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 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 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 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 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 informationMu Alpha Theta State 2007 Euclidean Circles
Mu Alpha Theta State 2007 Euclidean Circles 1. Joe had a bet with Mr. Federer saying that if Federer can solve the following problem in one minute, Joe would be his slave for a whole month. The problem
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 informationHonors Geometry Circle Investigation  Instructions
Honors Geometry ircle Investigation  Instructions 1. On the first circle a. onnect points and O with a line segment. b. onnect points O and also. c. Measure O. d. Estimate the degree measure of by using
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 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 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 informationb) 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
More informationPage 1
Pacing Chart Unit Week Day CCSS Standards Objective I Can Statements 121 CCSS.MATH.CONTENT.HSG.C.A.1 Prove that all circles are similar. Prove that all circles are similar. I can prove that all circles
More information1998 Harvard/MIT Math Tournament GEOMETRY Answer Sheet
1998 Harvard/MIT Math Tournament GEOMETRY Answer Sheet Name: School: Grade: 1 7 2 8 3 9 4 10a 5 10b 6 10c TOTAL: GEOMETRY Question One. [3 points] Quadrilateral ALEX, pictured below (but not necessarily
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 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 7: Practice/review problems The collection of problems listed below contains questions taken from previous MA123 exams.
Word problems Chapter 7: Practice/review problems The collection of problems listed below contains questions taken from previous MA3 exams. Maxmin problems []. A field has the shape of a rectangle with
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 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 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 informationPage 1 Central Angles & Arc Measures
Geometry/Trig Unit 8 ll bout ircles! Name: ate: Page 1 entral ngles & rc Measures Example 1: JK is a diameter of ircle. Name two examples for each: K Minor rc:, Major rc:, M Semicircle:, Name Pair of djacent
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 informationReplacement for a Carpenter s Square
Lesson.1 Skills Practice Name Date Replacement for a arpenter s Square Inscribed and ircumscribed Triangles and Quadrilaterals Vocabulary nswer each question. 1. How are inscribed polygons and circumscribed
More informationArkansas Council of Teachers of Mathematics 2012 State Competition Geometry Exam. B. 28 (5x41) 3 m (2x+25)
rkansas ouncil of Teachers of Mathematics 2012 State ompetition Geometry Exam For questions 1 through 25, mark your answer choice on the answer sheet provided. (Figures may not be drawn to scale.) fter
More informationACTM Regional Geometry Exam 2009
TM Regional Geometry xam 009 In each of the following questions choose the best answer and bubble the corresponding letter on the answer sheet. Note: The geometric figures on this exam are not necessarily
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 informationKing Fahd University of Petroleum and Minerals PrepYear Math Program Math (001)  Term 181 Recitation (1.1)
Recitation (1.1) Question 1: Find a point on the yaxis that is equidistant from the points (5, 5) and (1, 1) Question 2: Find the distance between the points P(2 x, 7 x) and Q( 2 x, 4 x) where x 0. Question
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 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 informationRegents Exam Questions by Topic Page 1 ANGLES: Arc Length NAME:
Regents Exam Questions by Topic Page 1 1. 010725b As shown in the accompanying diagram, a dial in the shape of a semicircle has a radius of 4 centimeters. Find the measure of, in radians, when the pointer
More informationChords 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
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 informationElizabeth City State University Elizabeth City, North Carolina STATE REGIONAL MATHEMATICS CONTEST COMPREHENSIVE TEST BOOKLET
Elizabeth City State University Elizabeth City, North Carolina 7909 011 STATE REGIONAL MATHEMATICS CONTEST COMPREHENSIVE TEST BOOKLET Directions: Each problem in this test is followed by five suggested
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 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 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 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 information4.! 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,
More informationI.G.C.S.E. Area. You can access the solutions from the end of each question
I.G.C.S.E. Area Index: Please click on the question number you want Question Question Question 3 Question 4 Question 5 Question 6 Question 7 Question 8 Question 9 You can access the solutions from the
More information101 Study Guide and Intervention
opyright Glencoe/McGrawHill, a division of he McGrawHill ompanies, Inc. NM I 101 tudy Guide and Intervention ircles and ircumference arts of ircles circle consists of all points in a plane that are
More informationCIRCLE PROPERTIES M.K. HOME TUITION. Mathematics Revision Guides. Level: GCSE Foundation Tier
Mathematics Revision Guides Circle Properties Page 1 of 5 M.K. HOME TUITION Mathematics Revision Guides Level: GCSE Foundation Tier CIRCLE PROPERTIES Version:.1 Date: 81001 Mathematics Revision Guides
More informationName 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
More informationNEW BALANCING PRINCIPLES APPLIED TO CIRCUMSOLIDS OF REVOLUTION, AND TO ndimensional SPHERES, CYLINDROIDS, AND CYLINDRICAL WEDGES
NEW BALANCING PRINCIPLES APPLIED TO CIRCUMSOLIDS OF REVOLUTION, AND TO ndimensional SPERES, CYLINDROIDS, AND CYLINDRICAL WEDGES Tom M. Apostol and Mamikon A. Mnatsakanian 1 INTRODUCTION The sphere and
More information2009 Math Olympics Level II
Saginaw Valley State University 009 Math Olympics Level II 1. f x) is a degree three monic polynomial leading coefficient is 1) such that f 0) = 3, f 1) = 5 and f ) = 11. What is f 5)? a) 7 b) 113 c) 16
More informationObjectives To find the measure of an inscribed angle To find the measure of an angle formed by a tangent and a chord
13 Inscribed ngles ommon ore State Standards G.. Identify and describe relationships among inscribed angles, radii, and chords. lso G..3, G..4 M 1, M 3, M 4, M 6 bjectives To find the measure of an
More informationReview for Grade 9 Math Exam  Unit 8  Circle Geometry
Name: Review for Grade 9 Math Exam  Unit 8  ircle Geometry Date: Multiple hoice Identify the choice that best completes the statement or answers the question. 1. is the centre of this circle and point
More informationLesson 1.7 circles.notebook. September 19, Geometry Agenda:
Geometry genda: Warmup 1.6(need to print of and make a word document) ircle Notes 1.7 Take Quiz if you were not in class on Friday Remember we are on 1.7 p.72 not lesson 1.8 1 Warm up 1.6 For Exercises
More informationCIRCLES, CHORDS AND TANGENTS
NAME SCHOOL INDEX NUMBER DATE CIRCLES, CHORDS AND TANGENTS KCSE 1989 2012 Form 3 Mathematics Working Space 1. 1989 Q24 P2 The figure below represents the cross section of a metal bar. C A 4cm M 4cm B The
More informationCN#5 Objectives 5/11/ I will be able to describe the effect on perimeter and area when one or more dimensions of a figure are changed.
CN#5 Objectives I will be able to describe the effect on perimeter and area when one or more dimensions of a figure are changed. When the dimensions of a figure are changed proportionally, the figure will
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 information+ 2gx + 2fy + c = 0 if S
CIRCLE DEFINITIONS A circle is the locus of a point which moves in such a way that its distance from a fixed point, called the centre, is always a constant. The distance r from the centre is called the
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 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 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 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 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 informationCircles. Parts of a Circle Class Work Use the diagram of the circle with center A to answer the following: Angles & Arcs Class Work
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
More informationPractice Test Student Answer Document
Practice Test Student Answer Document Record your answers by coloring in the appropriate bubble for the best answer to each question. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26
More informationPark Forest Math Team. Meet #4. Geometry. Selfstudy Packet
Park Forest Math Team Meet #4 Selfstudy Packet Problem Categories for this Meet: 1. Mystery: Problem solving 2. : ngle measures in plane figures including supplements and complements 3. Number Theory:
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 informationChapter 1. Some Basic Theorems. 1.1 The Pythagorean Theorem
hapter 1 Some asic Theorems 1.1 The ythagorean Theorem Theorem 1.1 (ythagoras). The lengths a b < c of the sides of a right triangle satisfy the relation a 2 + b 2 = c 2. roof. b a a 3 2 b 2 b 4 b a b
More informationMore Differentiation Page 1
More Differentiation Page 1 Directions: Solve the following problems using the available space for scratchwork. Indicate your answers on the front page. Do not spend too much time on any one problem. Note:
More information( 1 ) Find the coordinates of the focus, length of the latusrectum and equation of the directrix of the parabola x 2 =  8y.
PROBLEMS 04  PARABOLA Page 1 ( 1 ) Find the coordinates of the focus, length of the latusrectum and equation of the directrix of the parabola x  8. [ Ans: ( 0,  ), 8, ] ( ) If the line 3x 4 k 0 is
More informationPlane geometry Circles: Problems with some Solutions
The University of Western ustralia SHL F MTHMTIS & STTISTIS UW MY FR YUNG MTHMTIINS Plane geometry ircles: Problems with some Solutions 1. Prove that for any triangle, the perpendicular bisectors of the
More informationFranklin Math Bowl 2010 Group Problem Solving Test Grade 6
Group Problem Solving Test Grade 6 1. Carrie lives 10 miles from work. She leaves in the morning before traffic is heavy and averages 30 miles per hour. When she goes home at the end of the day, traffic
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 informationGeometry. A. Right Triangle. Legs of a right triangle : a, b. Hypotenuse : c. Altitude : h. Medians : m a, m b, m c. Angles :,
Geometry A. Right Triangle Legs of a right triangle : a, b Hypotenuse : c Altitude : h Medians : m a, m b, m c Angles :, Radius of circumscribed circle : R Radius of inscribed circle : r Area : S 1. +
More informationTheorem 1.2 (Converse of Pythagoras theorem). If the lengths of the sides of ABC satisfy a 2 + b 2 = c 2, then the triangle has a right angle at C.
hapter 1 Some asic Theorems 1.1 The ythagorean Theorem Theorem 1.1 (ythagoras). The lengths a b < c of the sides of a right triangle satisfy the relation a + b = c. roof. b a a 3 b b 4 b a b 4 1 a a 3
More informationSAT SHEET (calculators allowed)
. If! 15 = 15! x, then x = A) 0 B) 15 C) 0 D) 15 E) 0 4. A dozen roses cost $15.60 and the cost of one rose and one lily together cost $4.50. What is the cost of one lily? A) $1.0 B) $.0 C) $5.80 D)
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 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 informationSSC EXAMINATION GEOMETRY (SETA)
GRND TEST SS EXMINTION GEOMETRY (SET) SOLUTION Q. Solve any five subquestions: [5M] ns. ns. 60 & D have equal height ( ) ( D) D D ( ) ( D) Slope of the line ns. 60 cos D [/M] [/M] tan tan 60 cos cos
More informationGauss School and Gauss Math Circle 2017 Gauss Math Tournament Grade 78 (Sprint Round 50 minutes)
Gauss School and Gauss Math Circle 2017 Gauss Math Tournament Grade 78 (Sprint Round 50 minutes) 1. Compute. 2. Solve for x: 3. What is the sum of the negative integers that satisfy the inequality 2x
More informationAREAS RELATED TO CIRCLES
HPTER 1 Points to Remember : RES RELTE T IRLES 1. circle is a collection of points which moves in a plane in such a way that its distance from a fixed point always remains the same. The fixed point is
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 informationCircle geometry investigation: Student worksheet
Circle geometry investigation: Student worksheet http://topdrawer.aamt.edu.au/geometricreasoning/goodteaching/exploringcircles/explorepredictconfirm/circlegeometryinvestigations About these activities
More informationName: 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
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 informationGeometry: A Complete Course
eometry: omplete ourse with rigonometry) odule  tudent Worket Written by: homas. lark Larry. ollins 4/2010 or ercises 20 22, use the diagram below. 20. ssume is a rectangle. a) f is 6, find. b) f is,
More informationObjective Mathematics
. A tangent to the ellipse is intersected by a b the tangents at the etremities of the major ais at 'P' and 'Q' circle on PQ as diameter always passes through : (a) one fied point two fied points (c) four
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 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 information( ) ( ) SECTION 1.1, Page ( x 3) 5 = 4( x 5) = 7. x = = = x x+ 0.12(4000 x) = 432
CHAPTER Functions and Graphs SECTION., Page. x + x + x x x. x + x x x x x. ( x ) ( x ) x 6 x x x x x + x x 7. x + x + x + 6 8 x 8 6 x x. x x 6 x 6 x x x 8 x x 8 + x..x +..6.x. x 6 ( n + ) ( n ) n + n.
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 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 informationGeometry 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
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 informationA. leg B. hipponamoose C. hypotenuse D. Big Guy. A. congruent B. complementary C. supplementary D. cute little things
3 rd quarter Review Name: Date: 1.] The longest side of a right triangle is called the.. leg. hipponamoose. hypotenuse D. ig Guy 2.] The acute angles of a right triangle are always.. congruent. complementary.
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 informationMT  GEOMETRY  SEMI PRELIM  II : PAPER  5
017 1100 MT MT  GEOMETRY  SEMI PRELIM  II : PPER  5 Time : Hours Model nswer Paper Max. Marks : 40.1. ttempt NY FIVE of the following : (i) X In XYZ, ray YM bisects XYZ XY YZ XM MZ Y Z [Property of
More information