What is the longest chord?.


 Emma Powell
 2 years ago
 Views:
Transcription
1 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. The circle below is. D E Radius Diameter radius is a segment that has one endpoint and the other endpoint. In the circle above is a radius. There are ways to draw a radius in a circle. diameter is a segment that contains and has both endpoints on the circle. In the circle above is a diameter. hord segment whose endpoints are. The is a special type of chord that goes through the center. In the circle above and are chords. What is the longest chord?. Secant that intersects a circle at is a secant. In the circle above is a secant. ll secants contain. Tangent to a circle is a in the plane of the circle that touches the circle at exactly. The point where a circle and a tangent intersect is the. 1
2 oncentric circles oncentric circles are two or more circles that lie in the same and have the same. Draw a picture of 3 concentric circles around point F. F entral ngle central angle is an angle whose is at the of a circle. P D rc Types of rcs n arc is a part of a circle. Semicircle Minor rc Major rc Description Example from above How do you know if someone is referring to a major arc or a minor arc? 2
3 rc measure ll arcs are measured in. The measure of a is the measure of its corresponding. Examples ircumference The circumference of a circle is. How can you calculate the circumference of a circle? Pi The number pi ( ) is the ratio of the to its.. Example Find the circumference of the circle r = 5in D=12ft n r = 1m Exact answer (leave π) pproximate answer (use π 3.14) 3
4 7. circle has a circumference of 48π inches. What is the radius of the circle? The diameter? nswering in terms of Pi nswering in terms of Pi, means to the symbol in your answer. (in other words give an exact answer) rc length n arc length is. To find an arc length you must write and solve a. How can you calculate arc length? Example Find the length of arc (arc = ) d=10 r=3 r= Summary/Reflection: What is the difference between the measure of an arc and the length of an arc? 4
5 Section: 111 Topic: Tangent Lines Standard: 21 Tangent Lines Name: lass: Geometry 1 Period: Date: to a circle is a line in the plane of the circle that intersects the circle in. The point where a circle and a tangent intersect is the.? The term tangent is derived from the Latin verb tangere, which means. ngle formed by a tangent and a radius. If a line is tangent to a circle, then the line is to the radius drawn to the point of tangency. Draw a diagram to illustrate this theorem. Finding ngle Measures Use this theorem to solve these problems involving tangents to circles. = x 120 x m<= Summary/Reflection: How is the central angle (x) related to the outside angle (y) formed by 2 tangent lines? x y 5
6 Section: 113 Topic: Inscribed ngles Standard: 21 Inscribed ngle Intercepted rc Name: lass: Geometry 1 Period: Date: n inscribed angle is one whose is on the circle and the sides of the angle are. The arc that connects the of an. 1) Inscribe an angle in this circle. 2) Label the points with nonrepeating letters from your name. 3) Highlight the intercepted arc. 4) Label both features. 1)Pick a point on the circle and use a straightedge to draw an inscribed angle with as the intercepted arc. 2)Label it angle 1. 3)Trace central angle patty paper. X onto 4) Fold the patty paper such that the angle is bisected. 5) Draw in the bisector you just folded. 6) ompare the bisected angle on your patty paper to 1. What is the relationship between mx and m 1? X Draw a second inscribed angle intercepting the same arc. Label it angle 2. ompare it to the angle on the patty paper. What is the relationship between m 1 and m 2? 6
7 Inscribed ngle Theorem The measure of an inscribed angle is the measure of its intercepted arc. m If arc is 70 then. If two angles intercept the same arc, how are those angles related? ngle inscribed in a semicircle. Use a straightedge and draw any inscribed angle that intercepts the arc. Label your angle 3. Estimate the measure of the inscribed angle using a corner. ompare your result to that of your neighbors. What type of special line segment is? What is the measure of arc? What type of special arc is arc? What is the measure of 3? What do all angles inscribed in semicircles have in common? 7
8 Find the missing variables: x 7 y z 120 Quadrilateral inscribed in a circle Find the values of v, w, x, y, and z. v w How are the opposite angles of the inscribed quadrilateral related? 8
9 The ngle formed by a Tangent and a hord The measure of an angle formed by a tangent and a chord is the measure of the intercepted arc. D E me me P J 140 K M S Find m<pqr Q R L Find m<lmn N Summary/Reflection: Inscribe parallelogram D in a circle below. What is a more precise name for D? What other type of parallelogram is possible? Draw and label it in the other circle. Inscribe and classify a trapezoid in the last circle. 9
10 Section: 114 Topic: ngles formed by chords, secants and tangents Standard: 21 Intersections a. Name: lass: Geometry 1 Period: Date: In the circle below label chord and secant D. ngles formed by intersecting and/or. m1 1 y Examples
11 Intersections a. Using a straight edge Draw secants and D intersecting outside the circle to form acute angle 1. m1 The measure of an angle formed by two secant lines that intersect outside a circle: y D Using a straight edge Draw secant and a tangent line with as the point of tangency intersecting outside the circle to form acute angle 1. m1 The measure of an angle formed by a secant line and a tangent that intersect outside a circle: y Using a straight edge Draw two tangent lines with and as the points of tangency intersecting outside the circle to form acute angle 1. m1 The measure of an angle formed by two tangent lines that intersect outside a circle: y onsider the relationship between the measures of the two arcs in this last one. an we write another formula? m1 m1 11
12 How can I remember all these formulas: For angles inside a circle: Often times are useful for stimulating memory. and are examples of this. If you are the middle of something, you have yourself to the situation. For angles outside a circle: If you yourself from the situation and are outside of it, you have yourself from it. Examples: Find the measure of the indicated angle or arc in each problem:
13 y Summary/Reflection: Illustrate how to find angle measures when the vertex is Inside the circle On the circle Outside the circle 13
Lesson 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 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 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 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 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 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 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 informationSolve problems involving tangents to a circle. Solve problems involving chords of a circle
8UNIT ircle Geometry What You ll Learn How to Solve problems involving tangents to a circle Solve problems involving chords of a circle Solve problems involving the measures of angles in a circle Why Is
More informationIntroduction Circle Some terms related with a circle
141 ircle Introduction In our daytoday life, we come across many objects which are round in shape, such as dials of many clocks, wheels of a vehicle, bangles, key rings, coins of denomination ` 1, `
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 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 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 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 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 informationDO NOW #1. Please: Get a circle packet
irclengles.gsp pril 26, 2013 Please: Get a circle packet Reminders: R #10 due Friday Quiz Monday 4/29 Quiz Friday 5/3 Quiz Wednesday 5/8 Quiz Friday 5/10 Initial Test Monday 5/13 ctual Test Wednesday 5/15
More informationName Grp Pd Date. Circles Test Review 1
ircles est eview 1 1. rc 2. rea 3. entral ngle 4. hord 5. ircumference 6. Diameter 7. Inscribed 8. Inscribed ngle 9. Intercepted rc 10. Pi 11. adius 12. ector 13. emicircle 14. angent 15. πr 2 16. 2πr
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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 ircles 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. hord GM, R,
More informationRiding a Ferris Wheel
Lesson.1 Skills Practice Name ate iding a Ferris Wheel Introduction to ircles Vocabulary Identify an instance of each term in the diagram. 1. center of the circle 6. central angle T H I 2. chord 7. inscribed
More informationMath 3 Quarter 4 Overview
Math 3 Quarter 4 Overview EO5 Rational Functions 13% EO6 Circles & Circular Functions 25% EO7 Inverse Functions 25% EO8 Normal Distribution 12% Q4 Final 10% EO5 Opp #1 Fri, Mar 24th Thu, Mar 23rd ML EO5
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 informationAnswers. Chapter10 A Start Thinking. and 4 2. Sample answer: no; It does not pass through the center.
hapter10 10.1 Start Thinking 6. no; is not a right triangle because the side lengths do not satisf the Pthagorean Theorem (Thm. 9.1). 1. (3, ) 7. es; is a right triangle because the side lengths satisf
More informationCirclesTangent Properties
15 irclestangent roperties onstruction of tangent at a point on the circle. onstruction of tangents when the angle between radii is given. Tangents from an external point  construction and proof Touching
More informationMODULE. (40 + 8x) + (5x 16) = 180. STUDY GUIDE REVIEW Angles and Segments in Circles. Key Vocabulary
STUDY GUIDE REVIEW Angles and Segments in ircles ODULE 15 Essential Question: How can you use angles and segments in circles to solve realworld problems? EY EXALE (Lesson 15.1) Determine m DE, m BD, m
More informationCircles in Neutral Geometry
Everything we do in this set of notes is Neutral. Definitions: 10.1  Circles in Neutral Geometry circle is the set of points in a plane which lie at a positive, fixed distance r from some fixed point.
More informationWhat You ll Learn. Why It s Important. We see circles in nature and in design. What do you already know about circles?
We see circles in nature and in design. What do you already know about circles? What You ll Learn ircle properties that relate: a tangent to a circle and the radius of the circle a chord in a circle, its
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 informationGeo  CH11 Practice Test
Geo  H11 Practice Test Multiple hoice Identify the choice that best completes the statement or answers the question. 1. Identify the secant that intersects ñ. a. c. b. l d. 2. satellite rotates 50 miles
More informationActivity Sheet 1: Constructions
Name ctivity Sheet 1: Constructions Date 1. Constructing a line segment congruent to a given line segment: Given a line segment B, B a. Use a straightedge to draw a line, choose a point on the line, and
More informationC Given that angle BDC = 78 0 and DCA = Find angles BAC and DBA.
UNERSTNING IRLE THEREMSPRT NE. ommon terms: (a) R ny portion of a circumference of a circle. (b) HR line that crosses a circle from one point to another. If this chord passes through the centre then
More informationChapter (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.
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 information10.3 Start Thinking Warm Up Cumulative Review Warm Up
10.3 tart hinking etermine if the statement is always true, sometimes true, or never true. plain your reasoning. 1. chord is a diameter. 2. diameter is a chord. 3. chord and a radius have the same measure.
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 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 informationReady To Go On? Skills Intervention 111 Lines That Intersect Circles
Name ate lass STION 11 Ready To Go On? Skills Intervention 111 Lines That Intersect ircles ind these vocabulary words in Lesson 111 and the Multilingual Glossary. Vocabulary interior of a circle exterior
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 9.1 Skills Practice
Lesson 9.1 Skills Practice Name Date Earth Measure Introduction to Geometry and Geometric Constructions Vocabulary Write the term that best completes the statement. 1. means to have the same size, shape,
More informationLiberal High School Lesson Plans
Monday, 5/8/2017 Liberal High School Lesson Plans er:david A. Hoffman Class:Algebra III 5/8/2017 To 5/12/2017 Students will perform math operationsto solve rational expressions and find the domain. How
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 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 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 information2 Explain 1 Proving the Intersecting Chords Angle Measure Theorem
xplain 1 Proving the Intersecting hords ngle easure Theorem In the xplore section, you discovered the effects that line segments, such as chords and secants, have on angle measures and their intercepted
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 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 informationName Geometry Common Core Regents Review Packet  3. Topic 1 : Equation of a circle
Name Geometry Common Core Regents Review Packet  3 Topic 1 : Equation of a circle Equation with center (0,0) and radius r Equation with center (h,k) and radius r ( ) ( ) 1. The endpoints of a diameter
More information15.5 Angle Relationships in Circles
ame lass ate 15.5 ngle Relationships in ircles ssential uestion: What are the relationships between angles formed by lines that intersect a circle? xplore xploring ngle Measures in ircles The sundial is
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 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 informationClick on a topic to go to that section. Euclid defined a circle and its center in this way: Euclid defined figures in this way:
lide 1 / 59 lide / 59 New Jersey enter for eaching and Learning Progressive Mathematics Initiative his material is made freely available at www.njctl.org and is intended for the noncommercial use of students
More informationLabel carefully each of the following:
Label carefully each of the following: Circle Geometry labelling activity radius arc diameter centre chord sector major segment tangent circumference minor segment Board of Studies 1 These are the terms
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 informationEdexcel New GCE A Level Maths workbook Circle.
Edexcel New GCE A Level Maths workbook Circle. Edited by: K V Kumaran kumarmaths.weebly.com 1 Finding the Midpoint of a Line To work out the midpoint of line we need to find the halfway point Midpoint
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 informationCircle geometry investigation: Student worksheet
Circle geometry investigation: Student worksheet http://topdrawer.aamt.edu.au/geometricreasoning/goodteaching/exploringcircles/explorepredictconfirm/circlegeometryinvestigations About these activities
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 informationIncoming Magnet Precalculus / Functions Summer Review Assignment
Incoming Magnet recalculus / Functions Summer Review ssignment Students, This assignment should serve as a review of the lgebra and Geometry skills necessary for success in recalculus. These skills were
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 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 informationMT  MATHEMATICS (71) GEOMETRY  PRELIM II  PAPER  6 (E)
04 00 Seat No. MT  MTHEMTIS (7) GEOMETRY  PRELIM II  (E) Time : Hours (Pages 3) Max. Marks : 40 Note : ll questions are compulsory. Use of calculator is not allowed. Q.. Solve NY FIVE of the following
More informationName Date Period. Notes  Tangents. 1. If a line is a tangent to a circle, then it is to the
Name ate Period Notes  Tangents efinition: tangent is a line in the plane of a circle that intersects the circle in eactly one point. There are 3 Theorems for Tangents. 1. If a line is a tangent to a
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 informationEureka Math. Geometry, Module 5. Student File_B. Contains Exit Ticket and Assessment Materials
A Story of Functions Eureka Math Geometry, Module 5 Student File_B Contains and Assessment Materials Published by the nonprofit Great Minds. Copyright 2015 Great Minds. No part of this work may be reproduced,
More information9.7 Extension: Writing and Graphing the Equations
www.ck12.org Chapter 9. Circles 9.7 Extension: Writing and Graphing the Equations of Circles Learning Objectives Graph a circle. Find the equation of a circle in the coordinate plane. Find the radius and
More informationUNIT OBJECTIVES. unit 9 CIRCLES 259
UNIT 9 ircles Look around whatever room you are in and notice all the circular shapes. Perhaps you see a clock with a circular face, the rim of a cup or glass, or the top of a fishbowl. ircles have perfect
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 informationCircles. Exercise 9.1
9 uestion. Exercise 9. How many tangents can a circle have? Solution For every point of a circle, we can draw a tangent. Therefore, infinite tangents can be drawn. uestion. Fill in the blanks. (i) tangent
More informationUsing Properties of Segments that Intersect Circles
ig Idea 1 H UY I I Using roperties of egments that Intersect ircles or Your otebook You learned several relationships between tangents, secants, and chords. ome of these relationships can help you determine
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 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 informationSkills Practice Skills Practice for Lesson 11.1
Skills Practice Skills Practice for Lesson.1 Name ate Riding a Ferris Wheel Introduction to ircles Vocabulary Identify an instance of each term in the diagram. 1. circle X T 2. center of the circle H I
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 informationCommon Core Georgia Performance Standards Mathematics Grades Adopted Reason quantitatively and use units to solve problems.
, VersaTiles (R), High School Level, Book 2, VersaTiles (R), High School Level, Book 3,, VersaTiles (R), High School Level, Book 5 Grades: 9, 10, 11, 12 State: Georgia Common Core Standards Subject: Mathematics
More informationMathematics. Single Correct Questions
Mathematics Single Correct Questions +4 1.00 1. If and then 2. The number of solutions of, in the interval is : 3. If then equals : 4. A plane bisects the line segment joining the points and at right angles.
More informationChapter 10 Worksheet 1 Name: Honors Accelerated Geometry Hour:
hapter 10 Worksheet 1 Name: Honors ccelerated Geometry Hour: For 115, find the measure of angle in each of the following diagrams. 1. 2.. 258 84 140 40 4. 5. 6. 2 y 80 y 72 7. 8. 9. 50 X 40 140 4 y 10.
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 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 informationAlgebra II/Geometry Curriculum Guide Dunmore School District Dunmore, PA
Algebra II/Geometry Dunmore School District Dunmore, PA Algebra II/Geometry Prerequisite: Successful completion of Algebra 1 Part 2 K Algebra II/Geometry is intended for students who have successfully
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 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 informationBC Exam Solutions Texas A&M High School Math Contest October 24, p(1) = b + 2 = 3 = b = 5.
C Exam Solutions Texas &M High School Math Contest October 4, 01 ll answers must be simplified, and If units are involved, be sure to include them. 1. p(x) = x + ax + bx + c has three roots, λ i, with
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 informationUnit 8. ANALYTIC GEOMETRY.
Unit 8. ANALYTIC GEOMETRY. 1. VECTORS IN THE PLANE A vector is a line segment running from point A (tail) to point B (head). 1.1 DIRECTION OF A VECTOR The direction of a vector is the direction of the
More informationCorrelation of 2012 Texas Essential Knowledge and Skills (TEKS) for Algebra I and Geometry to Moving with Math SUMS Moving with Math SUMS Algebra 1
Correlation of 2012 Texas Essential Knowledge and Skills (TEKS) for Algebra I and Geometry to Moving with Math SUMS Moving with Math SUMS Algebra 1 ALGEBRA I A.1 Mathematical process standards. The student
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 information