Name. Chapter 12: Circles
|
|
|
- Victor McDowell
- 5 years ago
- Views:
Transcription
1 Name Chapter 12: Circles
2 Chapter 12 Calendar Sun Mon Tue Wed Thu Fri Sat May (Friday) 14 Chapter 10/11 Assessment W Due HW Due Review 12.3 HW Due Review 19 / Review Quiz & 12.4 Practice HW Due Memorial Day-No School _.4 29 Completing the Square 12.5 HW Due 30 Chapter 12 Practice Test Completing the Square HW Due 31 Chapter 12 Review Final Review June 1 Chapter 12 Test 8 Final Review Final Review 12 Final Review FERP Due 13 1st & 2nd Hour Flnals 14 3rd & 4th Hour Finab 15 5th Hour Finals 16
3 12.1 Tangent Lines Warm-up: I can... Identify tangent lines Use the right triangles that result from tangent lines to find missing lengths Homework: 12.1 Page 665 #1-4, 7-9, 11-14, 17, 22 i A tangent to a circle is a line in the plane that intersects the circle in exactly one point. The point of tangency is the point where a circle and a tangent intersect. A 2 1
4 Theorem 12.1-If a line is tangent to a circle, then the line is perpendicular to the radius drawn to the point of tangency. BA is tangent to circle C at point A. Find the value of x. 2
5 A belt fits tightly around two circular pulleys, as shown. Find the distance between the centers of the pulleys. Theorem 12.2-If a line in the plane of a circle is perpendicular to the radius at its endpoint on the circle, then the line is tangent to the circle.?4, 1 le ) 6 3
6 Determine if a tangent line is shown in the diagram. In the picture below, the dashed (blue) circle is inscribed inside the triangle. The solid (red) circle is circumscribed around the triangle. ( What do you notice about the triangle if it circumscribed about a circle? Or, the triangle is circumscribed around the blue circle. 8 4
7 Theorem 12.3-Two segments tangent to a circle from a point outside the circle are congruent. Circle C is inscribed in quadrilateral XYZW. Find the perimeter of this quadrilateral. 5
8 I can... -Identify tangent lines -Use the right triangles that result from tangent lines to find missing lengths Homework: 12.1 Page 665 #1-4, 7-9, 11-14, 17, Chords and Arcs Warm-up: I can... Use congruent chords, arcs, and central angles -Recognize properties of lines through the center of a circle Homework: 12.2 Page 673 #1, 3-8, 10-19, 26, 42-46, 49,
9 A chord is a segment whose endpoints are on a circle. Theorem 12.4-Within a circle or in congruent circles: 1. Congruent central angles have congruent chords 2. Congruent chords have congruent arcs 3. Congruent arcs have congruent central angles 14 7
10 In the diagram, radius OX bisectszam. What can you conclude? Remind me... how do we describe the distance from a point to a line? 16 8
11 Theorem 12.5-Within a circle or in congruent circles: 1. Chords equidistant from the center are congruent 2. Congruent chords are equidistant from the center 17 9
12 Theorem 12.6-In a circle, a diameter that is perpendicular to a chord bisects the chord and its arcs Theorem 12.7-In a circle, a diameter that bisects a chord (that is not a diameter) is perpendicular to the chord Theorem 12.8-In a circle, the perpendicular bisector of a chord contains the center of the circle 19 P and Q are points on circle 0. The distance from 0 topq is 15 inches and PQ=16 in. Find the length of the radius
13 Find the distance from the center of a circle to a chord 30 m long if the diameter of the circle is 34 m. 21 Two circles intersect and have a common chord 24 cm long. The centers of the circles are 21 cm apart, a length which is perpendicular to the common chord. The radius of one circle is 13 cm. Find the radius of the other circle
14 Two concentric circles have radii 3 and 7. Find, to the nearest hundredth, the length of a chord of the larger circle that is tangent to the smaller circle. 23 I can.... Use congruent chords, arcs, and central angles ' Recognize properties of lines through the center of a circle Homework: 12.2 Page 673 #1, 3-8, 10-19, 26, 42-46, 49,
15 12.3 Inscribed Angles Warm-up: I can....find the measure of an inscribed angle.find the measure of an angle formed by a tangent and a chord Homework: 12.3 Page 681 # Inscribed angle-an angle is inscribed in a circle if the vertex of the angle is on the circle and the sides of the angle are chords of the circle
16 Inscribed Angle Theorem-The measure of an inscribed angle is half the measure of its intercepted arc. 1 m/ B = nia
17 Corollaries to the Inscribed Angle Theorem 1. Two inscribed angles that intercept the same arc are congruent. 2. An angle inscribed in a semicircle is a right angle. 3. The opposite angles of a quadrilateral inscribed in a circle are supplementary. 29 Find the values of the missing variables. 15
18 Theorem The measure of an angle formed by a tangent and a chord is half the measure of the intercepted arc. irizc = 2 31 Find the measure of the variables and angles. 16
19 I can....find the measure of an inscribed angle.find the measure of an angle formed by a tangent and a chord Homework: 12.3 Page 681 # Angle Measures and Segment Lengths Warm-up: Do the problem on the next slide. I can....find the measures of angles formed by chords, secants, and tangents.find the lengths of segments associated with circles Homework: 12.4 Page 691 #1-15, 20-24,
20 In the diagram,fe andfp are tangents to circle C. Find each arc measure, angle measure, or length. 2. mra = 3. Trig0 4. ntlead = 5. mlaec = 6. CE= 7, OF = 8. CF = 9. rnzefd = 35 Secant-a line that intersects a circle at two points Theorem The measure of an angle formed by two lines that: 1. Intersect inside a circle is half the sum of the measures of the intercepted arcs. inz1= 1 (x+ y) Y 2 2. Intersect outside a circle is half the difference of the measures of the intercepted arcs. 1 x y)
21 Theorem For a given point and circle, the product of the lengths of the two segments from the point to the circle is constant along any line through the point and circle. a b=c d (y + z)y t
22 A tram travels from point A to point B along the arc of a circle with radius of 125 feet. Find the shortest distance from point A to point B
23 I can... 'Find the measures of angles formed by chords, secants, and tangents "Find the lengths of segments associated with circles Homework: 12.4 Page 691 #1-15, 20-24, Circles in the Coordinate Plane Warm-up: I can... "Write an equation for a circle -Find the center and radius of a circle Homework: 12.5 Page 697 #3-21 (every 3), odd, 45,
24 Remember, a circle is a set of all points equidistant from a given point, called the center. 43 How would you describe this circle? 22
25 So how can we describe a circle in general? Write the standard equation of a circle with center (-8, 0) and radius j
26 Write the equation of a circle with center (5, 8) that passes through the point (-15, -13). 47 Write the equation of a circle whose diameter's endpoints are (-1, 0) and (-5, -3)
27 Find the center and radius of the circle I can... Write an equation for a circle 'Find the center and radius of a circle Homework: 12.5 Page 697 #3-21 (every 3), odd, 45,
28 Completing the Square 1. Expand the following perfect square binomials. a. (x + 2)2 b. (x + 3)2 c. (x + 4)2 What pattern do you see? 2. Using the pattern, decide whether each of the following are perfect square trinomials (yes or no). a. x2 + 2x + 1 b. x2 8x + 16 c. x2 + 4x+ 8 d. x2 + 3x + CO e. x2 10x + 25 f. x2 + Sx g. x2 4x 4 h. x2 + 20x + 10 i. x2 + x + 2 j. X 2-5X + P 2 2) k. x2 + 14x + 28 I. x2 18x 81
29 3. Determine the value of c needed to create a perfect square trinomial, then write the trinomial in factored form. a. x2 + 4x + b. x2 + 10x + c. x2 + 14x + d. x2 12x + e. x2 8x + f. x2 2x + g. x2 5x + h. x2 + 9x + I. x x + 4. Complete the square to write the equation of a circle in standard form, and determine its center and radius. a. x2 + 14x + y2 8y = 1 b. 3x2 + 3y2 30x + 12y + 39 = 0 c. x2 + y2 + 4x 16y + 52 = 0 d. x2 + y2 + 2x + 18y + 1 = 0 e. x2 + y2 10x + 10y = 48 f. 7x2 + 7y2 70x 84y = 0
Circles. 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.
C=2πr C=πd. Chapter 10 Circles Circles and Circumference. Circumference: the distance around the circle
10.1 Circles and Circumference Chapter 10 Circles Circle the locus or set of all points in a plane that are A equidistant from a given point, called the center When naming a circle you always name it by
SM2H 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:
Chapter 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:
Unit 10 Geometry Circles. NAME Period
Unit 10 Geometry Circles NAME Period 1 Geometry Chapter 10 Circles ***In order to get full credit for your assignments they must me done on time and you must SHOW ALL WORK. *** 1. (10-1) Circles and Circumference
Math 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
Arcs 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
New Jersey Center for Teaching and Learning. Progressive Mathematics Initiative
Slide 1 / 150 New Jersey Center for Teaching and Learning Progressive Mathematics Initiative This material is made freely available at www.njctl.org and is intended for the non-commercial use of students
Geometry Honors Homework
Geometry Honors Homework pg. 1 12-1 Practice Form G Tangent Lines Algebra Assume that lines that appear to be tangent are tangent. O is the center of each circle. What is the value of x? 1. 2. 3. The circle
Example 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
Chapter-wise questions
hapter-wise 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
UNIT 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
What is the longest chord?.
Section: 7-6 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.
Circles 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
Indicate whether the statement is true or false.
PRACTICE EXAM IV Sections 6.1, 6.2, 8.1 8.4 Indicate whether the statement is true or false. 1. For a circle, the constant ratio of the circumference C to length of diameter d is represented by the number.
Tangent Lines Unit 10 Lesson 1 Example 1: Tell how many common tangents the circles have and draw them.
Tangent Lines Unit 10 Lesson 1 EQ: How can you verify that a segment is tangent to a circle? Circle: Center: Radius: Chord: Diameter: Secant: Tangent: Tangent Lines Unit 10 Lesson 1 Example 1: Tell how
Mid-Chapter Quiz: Lessons 10-1 through Refer to. 1. Name the circle. SOLUTION: The center of the circle is A. Therefore, the circle is ANSWER:
Refer to. 1. Name the circle. The center of the circle is A. Therefore, the circle is 2. Name a diameter. ; since is a chord that passes through the center, it is a diameter. 3. Name a chord that is not
ARCS 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
Mth 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
11. 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
Ch 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
Geometry Arcs and Chords. Geometry Mr. Austin
10.2 Arcs and Chords Mr. Austin Objectives/Assignment Use properties of arcs of circles, as applied. Use properties of chords of circles. Assignment: pp. 607-608 #3-47 Reminder Quiz after 10.3 and 10.5
Mu 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
Study 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
Chapter (Circle) * Circle - circle is locus of such points which are at equidistant from a fixed point in
Chapter - 10 (Circle) Key Concept * Circle - circle is locus of such points which are at equidistant from a fixed point in a plane. * Concentric circle - Circle having same centre called concentric circle.
Understand and Apply Theorems about Circles
UNIT 4: CIRCLES AND VOLUME This unit investigates the properties of circles and addresses finding the volume of solids. Properties of circles are used to solve problems involving arcs, angles, sectors,
0610ge. 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
KEY 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
Honors 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
0114ge. 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?
Liberal 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
Grade 11 Pre-Calculus Mathematics (1999) Grade 11 Pre-Calculus Mathematics (2009)
Use interval notation (A-1) Plot and describe data of quadratic form using appropriate scales (A-) Determine the following characteristics of a graph of a quadratic function: y a x p q Vertex Domain and
Geometry Arcs and Chords. Geometry Mr. Peebles Spring 2013
10.2 Arcs and Chords Geometry Mr. Peebles Spring 2013 Bell Ringer: Solve For r. B 16 ft. A r r 8 ft. C Bell Ringer B 16 ft. Answer A r r 8 ft. C c 2 = a 2 + b 2 Pythagorean Thm. (r + 8) 2 = r 2 + 16 2
10-1 Study Guide and Intervention
opyright Glencoe/McGraw-Hill, a division of he McGraw-Hill ompanies, Inc. NM I 10-1 tudy Guide and Intervention ircles and ircumference arts of ircles circle consists of all points in a plane that are
( ) 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
DO 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
Name two radii in Circle E.
A C E B D Name two radii in Circle E. Unit 4: Prerequisite Terms A C E B D ECandED Unit 4: Prerequisite Terms A C E B D Name all chords in Circle E. Unit 4: Prerequisite Terms A C E B D AD, CD, AB Unit
( ) 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 = 1 120-56
10.1 Tangents to Circles. Geometry Mrs. Spitz Spring 2005
10.1 Tangents to Circles Geometry Mrs. Spitz Spring 2005 Objectives/Assignment Identify segments and lines related to circles. Use properties of a tangent to a circle. Assignment: Chapter 10 Definitions
Meet #4. Math League SCASD. Self-study Packet. Problem Categories for this Meet (in addition to topics of earlier meets):
Math League SCASD Meet #4 Self-study 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,
Chapter 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.
Math & 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
Circles. 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
Lesson 1.7 circles.notebook. September 19, Geometry Agenda:
Geometry genda: Warm-up 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
Circle 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
Circles. 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
0611ge. Geometry Regents Exam Line segment AB is shown in the diagram below.
0611ge 1 Line segment AB is shown in the diagram below. In the diagram below, A B C is a transformation of ABC, and A B C is a transformation of A B C. Which two sets of construction marks, labeled I,
Geometry 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
Page 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
WARM 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
Circles 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.
1. Draw and label a diagram to illustrate the property of a tangent to a circle.
Master 8.17 Extra Practice 1 Lesson 8.1 Properties of Tangents to a Circle 1. Draw and label a diagram to illustrate the property of a tangent to a circle. 2. Point O is the centre of the circle. Points
Conic Section: Circles
Conic Section: Circles Circle, Center, Radius A circle is defined as the set of all points that are the same distance awa from a specific point called the center of the circle. Note that the circle consists
0113ge. 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
Circles Unit Test. Secondary Math II
Circles Unit Test Secondary Math II 1. Which pair of circles described are congruent to each other? Circle M has a radius of 6 m; Circle N has a diameter of 10 m. Circle J has a circumference of in; Circle
Lesson 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
A. 180 B. 108 C. 360 D. 540
Part I - Multiple Choice - Circle your answer: 1. Find the area of the shaded sector. Q O 8 P A. 2 π B. 4 π C. 8 π D. 16 π 2. An octagon has sides. A. five B. six C. eight D. ten 3. The sum of the interior
( ) ( ) 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
radii: 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
Ready To Go On? Skills Intervention 11-1 Lines That Intersect Circles
Name ate lass STION 11 Ready To Go On? Skills Intervention 11-1 Lines That Intersect ircles ind these vocabulary words in Lesson 11-1 and the Multilingual Glossary. Vocabulary interior of a circle exterior
Answer Key. 9.1 Parts of Circles. Chapter 9 Circles. CK-12 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
10.1 circles and circumference 2017 ink.notebook. March 13, Page 91. Page 92. Page 90. Ch 10 Circles Circles and Circumference.
Page 90 Page 91 Page 92 Ch 10 Circles 10.1 Circles and Circumference Lesson Objectives Page 93 Standards Lesson Notes Page 94 10.1 Circles and Circumference Press the tabs to view details. 1 Lesson Objectives
Circles EOC Assessment 15%
MGSE9-12.G.C.1 1. Which of the following is false about circles? A. All circles are similar but not necessarily congruent. B. All circles have a common ratio of 3.14 C. If a circle is dilated with a scale
Circles-Tangent Properties
15 ircles-tangent 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
Activity Sheet 1: Constructions
Name ctivity Sheet 1: Constructions Date 1. Constructing a line segment congruent to a given line segment: Given a line segment B, B a. Use a straightedge to draw a line, choose a point on the line, and
Plane 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
LLT 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
Algebra 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
4.! ABC ~ DEF,! AC = 6 ft, CB = 3 ft, AB = 7 ft, DF = 9 ft.! What is the measure of EF?
Name:!!!!!!!!!!!!! Geo(2) GEOMETRY (2) REVIEW FOR FINAL EXAM #2 1. If ABC is similar to ADE, then AB AD =? AE. Which replaces the? to make the statement true? A. AC!! B. AE!! C. DE!! D. BC 2. In ABC,
Copy 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
chapter 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!!! " "
Circles. 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
Solve 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
2016 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
So, PQ is about 3.32 units long Arcs and Chords. ALGEBRA Find the value of x.
ALGEBRA Find the value of x. 1. Arc ST is a minor arc, so m(arc ST) is equal to the measure of its related central angle or 93. and are congruent chords, so the corresponding arcs RS and ST are congruent.
Circles. 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.
9.7 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
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
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
0809ge. 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
Pre-Test. 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.
Pre-Test 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
16 circles. what goes around...
16 circles. what goes around... 2 lesson 16 this is the first of two lessons dealing with circles. this lesson gives some basic definitions and some elementary theorems, the most important of which is
2.1 The Rectangular Coordinate System
. The Rectangular Coordinate Sstem In this section ou will learn to: plot points in a rectangular coordinate sstem understand basic functions of the graphing calculator graph equations b generating a table
Unit 1. GSE Analytic Geometry EOC Review Name: Units 1 3. Date: Pd:
GSE Analytic Geometry EOC Review Name: Units 1 Date: Pd: Unit 1 1 1. Figure A B C D F is a dilation of figure ABCDF by a scale factor of. The dilation is centered at ( 4, 1). 2 Which statement is true?
Geo - 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
0609ge. 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
Review 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
Label 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
Integrated Math II. IM2.1.2 Interpret given situations as functions in graphs, formulas, and words.
Standard 1: Algebra and Functions Students graph linear inequalities in two variables and quadratics. They model data with linear equations. IM2.1.1 Graph a linear inequality in two variables. IM2.1.2
Geometry: 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,
West 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
Park Forest Math Team. Meet #4. Geometry. Self-study Packet
Park Forest Math Team Meet #4 Self-study Packet Problem Categories for this Meet: 1. Mystery: Problem solving 2. : ngle measures in plane figures including supplements and complements 3. Number Theory:
Lesson 9.1 Skills Practice
Lesson 9.1 Skills Practice Name Date Earth Measure Introduction to Geometry and Geometric Constructions Vocabulary Write the term that best completes the statement. 1. means to have the same size, shape,
2005 Palm Harbor February Invitational Geometry Answer Key
005 Palm Harbor February Invitational Geometry Answer Key Individual 1. B. D. C. D 5. C 6. D 7. B 8. B 9. A 10. E 11. D 1. C 1. D 1. C 15. B 16. B 17. E 18. D 19. C 0. C 1. D. C. C. A 5. C 6. C 7. A 8.
0112ge. Geometry Regents Exam Line n intersects lines l and m, forming the angles shown in the diagram below.
Geometry Regents Exam 011 011ge 1 Line n intersects lines l and m, forming the angles shown in the diagram below. 4 In the diagram below, MATH is a rhombus with diagonals AH and MT. Which value of x would
Core Mathematics 2 Coordinate Geometry
Core Mathematics 2 Coordinate Geometry Edited by: K V Kumaran Email: kvkumaran@gmail.com Core Mathematics 2 Coordinate Geometry 1 Coordinate geometry in the (x, y) plane Coordinate geometry of the circle
Properties of the Circle
9 Properties of the Circle TERMINOLOGY Arc: Part of a curve, most commonly a portion of the distance around the circumference of a circle Chord: A straight line joining two points on the circumference
10-3 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.
UNIT 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
(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
Integrated Mathematics II
Integrated Mathematics II This course covers the topics shown below. Students navigate learning paths based on their level of readiness. Institutional users may customize the scope and sequence to meet