Practice A For use with pages 613-620

Similar documents
Circle Name: Radius: Diameter: Chord: Secant:

Chapter 6 Notes: Circles

Chapters 6 and 7 Notes: Circles, Locus and Concurrence

Lesson 2: Circles, Chords, Diameters, and Their Relationships

Section 9-1. Basic Terms: Tangents, Arcs and Chords Homework Pages : 1-18

Circle Theorems. This circle shown is described an OT. As always, when we introduce a new topic we have to define the things we wish to talk about.

Definitions, Postulates and Theorems

Name Date Class. Lines and Segments That Intersect Circles. AB and CD are chords. Tangent Circles. Theorem Hypothesis Conclusion

Geometry Unit 5: Circles Part 1 Chords, Secants, and Tangents

POTENTIAL REASONS: Definition of Congruence:

Geometry Regents Review

Unit 10 Geometry Circles. NAME Period

Math 531, Exam 1 Information.

Conjectures. Chapter 2. Chapter 3

Unit 3: Circles and Volume

The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY. Student Name:

The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY. Tuesday, August 13, :30 to 11:30 a.m., only.

For the circle above, EOB is a central angle. So is DOE. arc. The (degree) measure of ù DE is the measure of DOE.

The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY

The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY. Student Name:

Geometry Chapter 10 Study Guide Name

1. Find the length of BC in the following triangles. It will help to first find the length of the segment marked X.

The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY. Wednesday, January 29, :15 a.m. to 12:15 p.m.

DEFINITIONS. Perpendicular Two lines are called perpendicular if they form a right angle.

Conjectures for Geometry for Math 70 By I. L. Tse

Geometry - Semester 2. Mrs. Day-Blattner 1/20/2016

The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY. Wednesday, January 28, :15 a.m. to 12:15 p.m.

CIRCLE COORDINATE GEOMETRY

Contents. 2 Lines and Circles Cartesian Coordinates Distance and Midpoint Formulas Lines Circles...

Angles & Arcs Classwork. Geometry Circles ~1~ NJCTL.org. 7. Explain the difference between the radius of a circle and a chord.

The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY. Thursday, January 24, :15 a.m. to 12:15 p.m.

The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY. Thursday, January 26, :15 a.m. to 12:15 p.m.

The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY. Thursday, August 16, :30 to 11:30 a.m.

The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY. Tuesday, January 26, :15 to 4:15 p.m., only.

MATHEMATICS Grade 12 EUCLIDEAN GEOMETRY: CIRCLES 02 JULY 2014

Intro to Circles Formulas Area: Circumference: Circle:

Algebraic Properties and Proofs

Algebra III. Lesson 33. Quadrilaterals Properties of Parallelograms Types of Parallelograms Conditions for Parallelograms - Trapezoids

GEOMETRY B: CIRCLE TEST PRACTICE

Geometry Course Summary Department: Math. Semester 1

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

The Geometry of Piles of Salt Thinking Deeply About Simple Things

Geometry Module 4 Unit 2 Practice Exam

POTENTIAL REASONS: Definition of Congruence: Definition of Midpoint: Definition of Angle Bisector:

The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY. Thursday, August 13, :30 to 11:30 a.m., only.

CSU Fresno Problem Solving Session. Geometry, 17 March 2012

CAIU Geometry - Relationships with Triangles Cifarelli Jordan Shatto

The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY. Thursday, August 13, :30 to 11:30 a.m., only.

GEOMETRY CONCEPT MAP. Suggested Sequence:

Warm-up Tangent circles Angles inside circles Power of a point. Geometry. Circles. Misha Lavrov. ARML Practice 12/08/2013

Chapter Review Lines that Intersect Circles Arcs and Chords. Identify each line or segment that intersects each circle.

Unit 2 - Triangles. Equilateral Triangles

1. A student followed the given steps below to complete a construction. Which type of construction is best represented by the steps given above?

For each Circle C, find the value of x. Assume that segments that appear to be tangent are tangent. 1. x = 2. x =

Geometry EOC Practice Test #2

Name: Class: Date: Multiple Choice Identify the choice that best completes the statement or answers the question.

The Geometry of a Circle Geometry (Grades 10 or 11)

New York State Student Learning Objective: Regents Geometry

TIgeometry.com. Geometry. Angle Bisectors in a Triangle

Chapter 3.1 Angles. Geometry. Objectives: Define what an angle is. Define the parts of an angle.

Solutions to Practice Problems

This is a tentative schedule, date may change. Please be sure to write down homework assignments daily.

Blue Pelican Geometry Theorem Proofs

CIRCLES. 8 ABCD is a parallelogram inscribed in a circle. BC = 6, g-c = 120. Find the diameter of the circle. Test 10 Series 3. Part I [20 points)

CCGPS UNIT 3 Semester 1 ANALYTIC GEOMETRY Page 1 of 32. Circles and Volumes Name:

Name Period 10/22 11/1 10/31 11/1. Chapter 4 Section 1 and 2: Classifying Triangles and Interior and Exterior Angle Theorem

Area. Area Overview. Define: Area:

Tangent Properties. Line m is a tangent to circle O. Point T is the point of tangency.

San Jose Math Circle April 25 - May 2, 2009 ANGLE BISECTORS

Geo 9 1 Circles 9-1 Basic Terms associated with Circles and Spheres. Radius. Chord. Secant. Diameter. Tangent. Point of Tangency.

Equation of a Line. Chapter H2. The Gradient of a Line. m AB = Exercise H2 1

Geometry Unit 10 Notes Circles. Syllabus Objective: The student will differentiate among the terms relating to a circle.

How To Understand The Theory Of Ircles

TImath.com. Geometry. Points on a Perpendicular Bisector

Geometry Enduring Understandings Students will understand 1. that all circles are similar.

2, 3 1, 3 3, 2 3, 2. 3 Exploring Geometry Construction: Copy &: Bisect Segments & Angles Measure & Classify Angles, Describe Angle Pair Relationship


Chapter 11. Areas of Plane Figures You MUST draw diagrams and show formulas for every applicable homework problem!

EUCLIDEAN GEOMETRY: (±50 marks)

2006 Geometry Form A Page 1

Practice Test Answer and Alignment Document Mathematics: Geometry Performance Based Assessment - Paper

Conjunction is true when both parts of the statement are true. (p is true, q is true. p^q is true)

The Area of a Triangle Using Its Semi-perimeter and the Radius of the In-circle: An Algebraic and Geometric Approach

1 Solution of Homework

Curriculum Map by Block Geometry Mapping for Math Block Testing August 20 to August 24 Review concepts from previous grades.

IMO Geomety Problems. (IMO 1999/1) Determine all finite sets S of at least three points in the plane which satisfy the following condition:

5.1 Midsegment Theorem and Coordinate Proof

Postulate 17 The area of a square is the square of the length of a. Postulate 18 If two figures are congruent, then they have the same.

56 questions (multiple choice, check all that apply, and fill in the blank) The exam is worth 224 points.

Geometry. Relationships in Triangles. Unit 5. Name:

Regents Examination in Geometry (Common Core) Sample and Comparison Items Spring 2014

Week 1 Chapter 1: Fundamentals of Geometry. Week 2 Chapter 1: Fundamentals of Geometry. Week 3 Chapter 1: Fundamentals of Geometry Chapter 1 Test

GEOMETRY. Constructions OBJECTIVE #: G.CO.12

Triangles. Triangle. a. What are other names for triangle ABC?

Angles in a Circle and Cyclic Quadrilateral

Advanced Euclidean Geometry

Exercise Set 3. Similar triangles. Parallel lines

Collinearity and concurrence

GEOMETRY COMMON CORE STANDARDS

Geometry EOC Practice Test #4

Transcription:

NAME Practice A For use with pages 613-620 Find the measure of the indicated arc or angle. 1. mbc=? 2. mbc= B 3. m!-bac =? 160 C 4. mbc =? A 5. m/_bac = 6. m/_bac =? Find the measure of the arc or angle in 24 7. maqmp 8. manmo 9. m~pno lo.m~@np 11. m@o 12. mnop 13. mp@ 14. mo@n Decide whether a circle can be circumscribed about the quadrilateral Find the value of each variabhe. 19. 20. Chapter I 0 Resource Book Copyright McD0ugal Littell Inc. All rights reserved.

NAME. Practice B For use with pages 613-620 Find the measure of the indicated arc or angle in 1. m/_bac=? 2. mbc =? 3. ma.bac=? B A Find the measure of the arc or angle in 0, given mcd = 108 and robe = ~lo0. 4. m/_abc 5. maced 6. ma.bde 7. macbd 8. maabd 9. m/-.bce 10. mad 11. nv~bc A E D Find the value of x. 2x+ 13) 16. (3x- 8) 17. 18, Archeology Archeologists found a portion of a circulm" dinner plate. Describe a method to determine the diameter of the plate, Copyright McD0ugal Littett Inc. All rights reserved, (~eometry Chapter 10 Resource Book

NAME Pr~~*i~e A Far use with pages 621-627 Find the measure of L1. 1. 172 1 34 ~ 131 97 170 ~ 8, 92o~ Write an equation that can be used to so~ve for x. Then solve the equation for x. 105 Use the diagram of A to write the m/_l, m!_2, and m/_3 in order of increasing measure. 13. 14. Geometry Copyright McD0ugal Litt~tl inc. I Cha~ter 10 Resource Book A ~ ght~ i~d. ~1

NAME Practic~ B For use with pages 621-627 Find the measure of/_1. 194 5, 1~) 241 ~ Write an equation that can be used to serve for x. Then solve the equation for x. 13. Aerial V~ew You are flying across the plains of Kansas at an altitude of 32,000 feet,~.or approximately 6 miles. It is a clear day. Find the measure of CD that represents the part of Earth that you can see. B not drawn to scale Copyright McDougal Littell Ins, All rights reserved. Geometry Chapter 10 Resource Book

Lesson 10.2 continued 5. Sample answer: Construct perpendicular bisectors of D --~ and ~. We may label the bisectors ~ and ~, where C is the center of the circle, K is the midpoint of DG and L is the midpoint of ~-~. Then CK ~ CL, because congruent chords are equidistant from the center, mad CJ ~ C J, by the Reflexive Property of Congruence. Therefore, by the HL Congruence Theorem, AKJC.~ ALJC; this gives!.d J1 ~ / HJI becaus.~e correspond~ag parts of ~Asare~-. 6. rode = 50,reEF= 130, mfg=50,mgd= 130 7. 73 8. 12 9. 13 Lesson 10.3 Warm-~Jp Exercises 1. 22.5 2. 18 3. 32 4. (40, 20) Daily Homework (~uiz 1. major arc 2, minor arc 3. 78 4. 220 5. 28 Lesson Opener Allow 15 minutes. 1. Sample answer: 2. m/_adb = m/_bca; The rays that form each angle intersect the circle at A and B, the endpoints of arc AB. 3. m!-dac = m/-cbd; arc CD 4, MP = MQ Practice A 1. 76 2. 156 3. 80 4. 180 5. 12 6. 16 7. 60 8. 110 9. 35 10. 30 11. 130 12. 180 13. 60 14. 250 15. no 16. yes 17. yes 18. x= 180, y=90 19. x=55, y=55 20. x = 75 Pract[ce B 1. 66 2. 54 3. 43 4. 90 5. 54 6. 50 7. 54 8. 36 9. 50 10. 72 11. 180 12. 23.5 13. 7 14. 102 15. 13 16. 23.25 17. 8 18. Sample answer: Draw a chord, construct ± bisector; draw a second chord and construct ± bisector. Where ± bisectors intersect is the center. Measure radius. Double for diameter. Practice C 1. 74 2. 132 3, 43.5 4. 56 5, 19 6. 21 7. 90 8. 43 9. 47.5 10. 43 1!. 47 12. 47.5 13. 94 14. 180 15, 20 16, 7 17. 36 18. Statements 1. /_MEI~ /.GED 2. m/.imd = ~ mid 3. m!.igd = ~ mid 4. m/_imd = m/.igd 6. AMEI~ AGED 1, Vert. Angles Tl~m. 2. Measure of inscribed/- = ½ measure of intercepted arc. 3. Measure of inscribed/- = ½ measure of intercepted arc. 4. Trans. Prop. of ------- 6. AA Similarity Postulate Regeach~ng with Practice I, 34 2. 23 3, 43 4. 50 5. 25 6. 11 7. x=40, y=93 8. x=56, y=20 9. x=30, y~59.3 Reel-Li~e Application 1. /-BDC 2. 4400 miles 3, 25 4. 50 5. 8 6. about 3666 miles Challenge: Skills and Applications 1. Sample answer: Draw D--~. Since D--ff is a dianaeter,!.dgf is a right angle inscribed in C; therefore, DG ± FG. So, we have FG -~ GE (given),!.dgf ~!.DGE (all right angles are Copyright McD0ugal Littell Inc. All rights reserved, Geome ~ry Chapter 10 Resource Book

Lesson 10.3 continued congruent), and DG ~ DG (Reflexive Property of Congruence). By the SAS Congruence Postulate, ADGF ~ ADGE, so DF -~ DE (corresponding parts of = As are ~.) and ADEF is isosceles. 2. Sample answer: Draw PR, PS, and PT. Since PR is a diameter of Q,/-PSR is a right angle inscribed in Q; therefore, PS ± RT. APSR and APST are right triangles, PR ~ PT (radii of a circle are congruent), and PS =-- PS (Reflexive Property of Congruence). Therefore, APSR ~ APST by HL Congruence Theorem, and so RS -=- ST (corresponding parts of ~- As are ~). 3. Sample answer: Draw ~. Note that W Z II ~, so by the Alternate Interio.o_.rr Angles Theorem, /_WZX ~!_YXZ. But mwx = 2m/_WZX and myz = 2m/_YXZ, so mwx ~ YZ. Since two minor arcs in the same circle are congruent if and only if their corresponding chords are congruent, we conclude that WX ~- YZ, so WXYZ is an isosceles trapezoid. 4, a. OR = c, PS = c-a b. right triangle PS PQ co Sample answer: -- = -- PQ RP c-a b d. Sample answer: b c + a b 2 = (c-a)(c+a)=c ~- a 2,soa~ + b ~=ca. Quiz I ent~ li~ss~t ~the~xadi~u&dr &wn~tn o~~ the point of tangency. 2. 15; two tangent segments with the same exterior endpoint are congruent. 3. 60 4. 60 5. 180 6. 240 7. 120 8. 300 9. 102.8 Warm-Up l=xercises 1.45 2.4 3.5 4.60 DaRy Homework Quiz 1. a=90,b=58,c=45 2. x=6, y=9 Lesson Opener Allow 10 minutes. 1. a. A b. D,E,F c. B,C 2. a. A,B,F, b. E e. C,D & ~. C,E b. B,D c. A,F Practice A 1. 90 2. 86 3. 116 4. 39 5. 82 & 74 7. 40 8. 24.5 9. 36 10. 38 = ½(180 - x ); 104 11. 115 = ½(105 + x ); 125 12. 96 = ½(360 - x ); 168 l& m/_3, m/_2, m/-1 ~4. m~l,m~2, m~3 Practice ~ 1. 63 2. 148 3. 33 4. 49 5. 13.5 6. 48 7. 104 =½(360 -x );152 8. 22 = ½(125 - x ); 81 9. 38 = ½(x + 69 );7 10. 45 = ½(360 - x - x ); 135 1~. 17 = ~(x - 42 );76 12. 138 =~(360-x) ;84 ~3. ~6.3 Practice C 1. 142 2. 65 3. 40 4. 28 5. 57.5 6. 52 7. 20 8. 100 Statements 1. C is midpt, of BD 2. BC ~ CD m~bac = mbc m/-cad = ~ mcd 4. mbc = mcd ~. ma_bac = mz_cad 7. AC bisects Z_BAD Reasons 1. Given 2. Def. of midpoint 3. In a, measure of inscribed/- = ½ 4. Congruent arcs have = measure 5. Mult. Prop. of Equality & Substitution 7. Def of Z_ bisector Geometry......... C0pyright McDougal Littel[ Inc;... Ch&pter 10 Resource Book All rights reserved.

2026 © DocPlayer.net Privacy Policy | Terms of Service | Feedback  | Do Not Sell My Personal Information