# Geo - CH11 Practice Test

Size: px
Start display at page:

Transcription

1 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 above Earth s atmosphere. n astronaut works on the satellite and sees the sun rise over Earth. To the nearest mile, what is the distance from the astronaut to the horizon? (Hint: Earth s radius is about 4,000 miles.) a. 634 mi c. 630 mi b. 402,500 mi d. 397,500 mi 3. and are tangent to ñp. Find. a. = 11 2 c. = 2 b. = 1 2 d. = The circle graph shows the colors of automobiles sold at a car dealership. Find m(arc).

2 a. m(arc) = 36 c. m(arc) = 170 b. m(arc) = 10 d. m(arc) = Jenny s birthday cake is circular and has a 30 cm radius. Her slice creates an arc with a central angle of 120. What is the area of Jenny s slice of cake? Give your answer in terms of π. a. 300π cm 2 c. 150π cm 2 b. 10π cm 2 d. 3600π cm 2 6. Find the arc length of an arc with measure 130º in a circle with radius 2 in. Round to the nearest tenth. a. 4.5 in 2 c in 2 b. 2.3 in 2 d. 0.5 in 2 7. Find m(arc). a. m(arc) = 30 c. m(arc) = 20

3 b. m(arc) = 15 d. m(arc) = Meteorologists are planning the location of a new weather station. To optimize radar coverage, the station must be equidistant from three cities located at ( 16, 1), (1, 6), and (1, 18). What are the coordinates where the station should be built? a. ( 7.5, 2.5) c. ( 4.3, 4.3) b. ( 7, 9.5) d. ( 4, 6) 9. Identify the point (3, 300 ). a. M c. O b. N d. P 10. Graph r = 1.5. a. c.

4 b. d. Numeric Response 11. ñj has center J(4, 3) and radius 5. What is the measure, in degrees, of the arc with endpoints (9, 3) and (4, 2)? 12. What is the area of the sector, in square units, determined by an arc with a measure 75 in a circle with radius 10? Round to the nearest hundredth. 13. GHK subtends the semicircle. Find the measure of arc HK to the nearest degree. 14. In ñs, the measure of arc is 129 and m F = 36. Find the degree measure of arc.

5 15. Find the value of k. Round to the nearest hundredth. Matching Match each vocabulary term with its definition. a. chord b. arc c. point of tangency d. secant e. tangent of a circle f. interior of a circle g. common tangent h. sector of a circle i. exterior of a circle 16. the set of all points outside a circle 17. a line that is in the same plane as a circle and intersects the circle at exactly one point 18. a segment whose endpoints lie on a circle 19. a line that intersects a circle at two points 20. a line that is tangent to two circles Match each vocabulary term with its definition. a. adjacent arcs

6 b. arc c. arc length d. congruent arcs e. subtend f. minor arc g. intercepted arc h. half arc i. major arc 21. an arc of a circle whose points are on or in the exterior of a central angle 22. an unbroken part of a circle consisting of two points on the circle called the endpoints and all the points of the circle between them 23. an arc of a circle whose points are on or in the interior of a central angle 24. the distance along an arc measured in linear units 25. two arcs of the same circle that intersect at exactly one point

7 Geo - H11 Practice Test nswer Section MULTIPLE HOIE 1. NS: secant is a line that intersects a circle at two points. is the secant that intersects ñ. orrect! This is a tangent. secant is a line that intersects the circle at two points. This is a diameter and a chord. secant is a line. This is a radius. secant is a line that intersects the circle at two points. PTS: 1 IF: asic REF: Page 746 OJ: Identifying Lines and Segments That Intersect ircles NT: e TOP: 11-1 Lines That Intersect ircles 2. NS: Step 2 raw a sketch. Let be the center of Earth, F be the satellite, and H be a point on the horizon. FH is tangent to ñ at H, so FH H because a line tangent to a circle is perpendicular to the radius at the point of tangency. This means ΔHF is a right triangle. Use the Pythagorean Theorem to find the length of FH. Step 3 Solve. F = 50 mi F = + F = 4, = 4050 mi F 2 = FH 2 + H 2 Pythagorean Theorem (4,050) 2 = FH 2 + (4, 000) 2 Substitute 4,050 for F and 4,000 for H. 402, 500 FH 2 Subtract (4, 000) 2 from both sides. 634 mi FH Take the square root of both sides. orrect! Take the square root of this result. Round to the nearest mile, not nearest ten miles. dd 50 mi to 4,000 mi to obtain the hypotenuse of a right triangle. Using 4,000

8 mi as one leg of the right triangle, use the Pythagorean Theorem to find the distance to the horizon. PTS: 1 IF: verage REF: Page 749 OJ: Problem-Solving pplication NT: e TOP: 11-1 Lines That Intersect ircles 3. NS: = Theorem: If two segments are tangent to a circle from the same exterior point, then the segments are congruent. 3y + 4 = 11y Substitute. 4 = 8y Subtract 3y from both sides. y = 1 2 = 3ÊÁ Ë 1 2 ˆ + 4 Substitute. = 11 2 Simplify. ivide both sides by 2. orrect! Substitute this value for y and solve for segment. heck your algebra. If two segments are tangent to a circle from the same exterior point, then the segments are congruent. PTS: 1 IF: verage REF: Page 750 OJ: Using Properties of Tangents TOP: 11-1 Lines That Intersect ircles 4. NS: m(arc) = m P m(arc) = 0.10(360 ) m P is 10% of 360. m(arc) = 36 NT: e Theorem: The measure of a minor arc is equal to the measure of its central angle. orrect! The measure of a minor arc is equal to the measure of its central angle. The measure of a minor arc is equal to the measure of its central angle. The measure of a minor arc is equal to the measure of its central angle. PTS: 1 IF: verage REF: Page 756 OJ: pplication NT: e TOP: 11-2 rcs and hords 5. NS:

9 = πr 2 ÊÁ Ë m ˆ 360 Formula for area of a sector = π(30) 2 ÊÁ Ë 120 ˆ 360 Substitute the given values. = 300π cm 2 Simplify. orrect! Use the formula for finding the area of a sector. Use the formula for finding the area of a sector. The area of a sector is equal to pi times radius squared times the measure of the arc divided by 360 degrees. PTS: 1 IF: verage REF: Page 765 OJ: pplication NT: h TOP: 11-3 Sector rea and rc Length 6. NS: m L = 2πrÊ Ë Á 360 ˆ Formula for arc length 130 = 2π(2) Ê Ë Á 360 ˆ Substitute. = 13 9 π in in 2 Simplify. orrect! Use the formula for finding the distance along an arc. The arc length is equal to 2 times pi times the radius times the measure of the arc divided by 360 degrees. Use the formula for finding the distance along an arc. PTS: 1 IF: verage REF: Page 766 OJ: Finding rc Length NT: e TOP: 11-3 Sector rea and rc Length 7. NS: Inscribed ngle Theorem m = 1 2 m(arc)

10 15 = 1 2 m(arc) Substitute 15º for m. m(arc) = 30 Multiply both sides by 2. orrect! Use the Inscribed ngle Theorem. The measure of an inscribed angle is half the measure of its intercepted arc. The measure of the inscribed angle is half the measure of the intercepted arc, not twice the measure of the intercepted arc. PTS: 1 IF: asic REF: Page 773 OJ: Finding Measures of rcs and Inscribed ngles TOP: 11-4 Inscribed ngles 8. NS: Step 1 Plot the 3 points. NT: e Step 2 onnect,, and to form a triangle. Step 3 Find a point that is equidistant from the 3 points by constructing the perpendicular bisectors of two of the sides of Δ. The perpendicular bisectors intersect in a point that is equidistant from,, and.

11 The intersection of the perpendicular bisectors is at the point P( 4, 6). P is the center of the circle that passes through,, and. Find the perpendicular bisectors of the sides connecting the points. The center is the intersection point of the perpendicular bisectors. Find the perpendicular bisectors of the sides connecting the points. The center is the intersection point of the perpendicular bisectors. Find the perpendicular bisectors of the sides connecting the points. The center is the intersection point of the perpendicular bisectors. orrect! PTS: 1 IF: verage REF: Page 801 OJ: pplication NT: e TOP: 11-7 ircles in the oordinate Plane 9. NS: Step 1 Measure 300 counterclockwise from the polar axis. Step 2 Locate the point on the ray that is 3 units from the origin.

12 orrect! Measure 300 degrees counterclockwise from the polar axis. Measure 300 degrees counterclockwise from the polar axis. Measure 300 degrees counterclockwise from the polar axis. PTS: 1 IF: verage REF: Page 809 OJ: 11-Ext.3 Plotting Polar oordinates oordinates 10. NS: Make a table of values and plot the points. TOP: 11-Ext Polar θ r Make a table of values and plot the points. orrect! Make a table of values and plot the points. Make a table of values and plot the points. PTS: 1 IF: verage REF: Page 809 OJ: 11-Ext.4 Graphing Polar Equations TOP: 11-Ext Polar oordinates NUMERI RESPONSE 11. NS: 90 PTS: 1 IF: dvanced TOP: 11-2 rcs and hords 12. NS: PTS: 1 IF: dvanced TOP: 11-3 Sector rea and rc Length

13 13. NS: 143 PTS: 1 IF: dvanced TOP: 11-4 Inscribed ngles 14. NS: 57 PTS: 1 IF: verage TOP: 11-5 ngle Relationships in ircles 15. NS: 2.29 PTS: 1 IF: verage TOP: 11-6 Segment Relationships in ircles MTHING 16. NS: I PTS: 1 IF: asic REF: Page 746 TOP: 11-1 Lines That Intersect ircles 17. NS: E PTS: 1 IF: asic REF: Page 746 TOP: 11-1 Lines That Intersect ircles 18. NS: PTS: 1 IF: asic REF: Page 746 TOP: 11-1 Lines That Intersect ircles 19. NS: PTS: 1 IF: asic REF: Page 746 TOP: 11-1 Lines That Intersect ircles 20. NS: G PTS: 1 IF: asic REF: Page 748 TOP: 11-1 Lines That Intersect ircles 21. NS: I PTS: 1 IF: asic REF: Page 756 TOP: 11-2 rcs and hords 22. NS: PTS: 1 IF: asic REF: Page 756 TOP: 11-2 rcs and hords 23. NS: F PTS: 1 IF: asic REF: Page 756 TOP: 11-2 rcs and hords 24. NS: PTS: 1 IF: asic REF: Page 766 TOP: 11-3 Sector rea and rc Length 25. NS: PTS: 1 IF: asic REF: Page 757 TOP: 11-2 rcs and hords

### 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

### 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:

### 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

### 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.

### 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

### 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

### 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

### 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

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

( Final Exam Review Multiple hoice Identify the choice that best completes the statement or answers the question. 1. is an isosceles triangle. is the longest side with length. = and =. Find. 4 x + 4 7

### 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.

### Riding 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

### 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

### 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.

### 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

### Name 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

### 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:

### Introduction Circle Some terms related with a circle

141 ircle Introduction In our day-to-day 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, `

### 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

### Chords 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

### 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

### G.C.B.5: Arc Length 1

Regents Exam Questions G.C.B.5: Arc Length 1 www.jmap.org Name: G.C.B.5: Arc Length 1 1 A sprinkler system is set up to water the sector shown in the accompanying diagram, with angle ABC measuring 1 radian

### Using 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

### Assignment. 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,

### Q4 Week 2 HW Exponents and Equations

Name: lass: ate: I: Q4 Week 2 HW Exponents and Equations Multiple hoice Identify the choice that best completes the statement or answers the question. 1. Write (b)(b)(b)(b)(b) in exponential form. a. 5

### UNIT 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

### 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

### 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

### 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.

### G.C.B.5: Arc Length 1

Regents Exam Questions G.C.B.5: Arc Length 1 www.jmap.org Name: G.C.B.5: Arc Length 1 1 A sprinkler system is set up to water the sector shown in the accompanying diagram, with angle ABC measuring 1 radian

### 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.

### 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

### 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

### Riding 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

### 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

### Geo - CH2 Practice Test

Geo - H2 Practice Test Multiple hoice Identify the choice that best completes the statement or answers the question. 1. Find the next item in the pattern 2, 3, 5, 7, 11,... a. 13 c. 15 b. 12 d. 17 2. The

### G.C.B.5: Arc Length 1

Regents Exam Questions G.C.B.5: Arc Length www.jmap.org Name: G.C.B.5: Arc Length The diagram below shows circle O with radii OA and OB. The measure of angle AOB is 0, and the length of a radius is inches.

### 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

### Practice Math Quiz 11

ate Period Name Practice Math Quiz 11 Multiple hoice Identify the choice that best completes the statement or answers the question. Show your work for the possibility of partial credit. Each answer is

### Theorem 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

### 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

### 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

### 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

### Combining like terms and Distributive Review 7 Red/purple Name. Date. Class. Identify like terms in the list: 1) Combine like terms.

ombining like terms and istributive Review 7 Red/purple 2012-2013 Identify like terms in the list: 1) Name ate lass 2) 3) ombine like terms. 4) 7) 5) 8) 6) 9) Write an expression for the perimeter of the

### So, the measure of arc TS is 144. So, the measure of arc QTS is 248. So, the measure of arc LP is Secants, Tangents, and Angle Measures

11-6 Secants, Tangents, Angle Measures Find each measure Assume that segments that appear to be tangent are tangent 4 1 5 So, the measure of arc QTS is 48 So, the measure of arc TS is 144 6 3 So, the measure

### 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

### 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

### Chapter 3. Radian Measure and Circular Functions. Section 3.1: Radian Measure. π 1.57, 1 is the only integer value in the

Chapter Radian Measure and Circular Functions Section.: Radian Measure. Since θ is in quadrant I, 0 < θ

### 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

### Skills 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

### Algebra 2 Ch Name: Class: Date: Multiple Choice Identify the choice that best completes the statement or answers the question.

Name: lass: ate: I: lgebra 2 h. 8. Multiple hoice Identify the choice that best completes the statement or answers the question.. istance varies directly as time because as time increases, the distance

### 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?

### 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

### Algebra 2 Honors-Chapter 6 Exam

Name: lass: ate: I: lgebra 2 Honors-hapter 6 Exam Short nswer 1. The base of a triangle is given by the expression 2x + 1. Its area is 2x 3 + 11x 2 + 9x + 2. Find a polynomial expression that represents

### U2Q5 (Module 7 Practice Quiz)

Name: lass: ate: I: U2Q5 (Module 7 Practice Quiz) Multiple hoice Identify the choice that best completes the statement or answers the question. Ï y = x + 8 1. Solve Ô Ì. ÓÔ x + y = 7 a. This system has

### 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

### Replacement 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

### 2 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

### Chapter 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

### To construct the roof of a house, an architect must determine the measures of the support beams of the roof.

Metric Relations Practice Name : 1 To construct the roof of a house, an architect must determine the measures of the support beams of the roof. m = 6 m m = 8 m m = 10 m What is the length of segment F?

### 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:

### 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,

### 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

### 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.

### 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

### Side c is called the hypotenuse. Side a, and side b, are the other 2 sides.

8.1 Properties of Tangents to a Circle Recall: Theorem of Pythagoras Side c is called the hypotenuse. Side a, and side b, are the other 2 sides. b Recall: Angle Sum Property In any triangle, the angles

### 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

### 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

### 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

### Name 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

### 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

### Using Chords. Essential Question What are two ways to determine when a chord is a diameter of a circle?

10.3 Using hords ssential uestion What are two ways to determine when a chord is a diameter of a circle? rawing iameters OOKI O UU o be proficient in math, you need to look closely to discern a pattern

### 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

### 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

### Unit 2 Review. Short Answer 1. Find the value of x. Express your answer in simplest radical form.

Unit 2 Review Short nswer 1. Find the value of x. Express your answer in simplest radical form. 30º x 3 24 y 6 60º x 2. The size of a TV screen is given by the length of its diagonal. The screen aspect

### Geometry Final exam Review First Semester

Name: lass: ate: Geometry Final exam Review First Semester Multiple hoice Identify the choice that best completes the statement or answers the question. 1. Find the measure of O. Then, classify the 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

### Use Properties of Tangents

6.1 Georgia Performance Standard(s) MM2G3a, MM2G3d Your Notes Use Properties of Tangents Goal p Use properties of a tangent to a circle. VOULRY ircle enter Radius hord iameter Secant Tangent Example 1

### Pre-Calculus Section 8.1: Angles, Arcs, & Their Measures (including Linear & Angular Speed) 1. The graph of a function is given as follows:

Pre-Calculus Section 8.1: Angles, Arcs, & Their Measures (including Linear & Angular Speed) 1. The graph of a function is given as follows: 4. Example 1 (A): Convert each degree measure to radians: A:

### 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

### 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

### Math 9 Unit 8: Circle Geometry Pre-Exam Practice

Math 9 Unit 8: Circle Geometry Pre-Exam 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

### 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

### ( ) 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 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

### Section 3.2 Applications of Radian Measure

Section. Applications of Radian Measure 07 (continued) 88. 80 radians = = 0 5 5 80 radians = = 00 7 5 = 5 radian s 0 = 0 radian s = radian 80 89. (a) In hours, the hour hand will rotate twice around the

### Reteaching , or 37.5% 360. Geometric Probability. Name Date Class

Name ate lass Reteaching Geometric Probability INV 6 You have calculated probabilities of events that occur when coins are tossed and number cubes are rolled. Now you will learn about geometric probability.

### 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.

### 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

### 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

### MT - MATHEMATICS (71) GEOMETRY - PRELIM II - PAPER - 1 (E)

04 00 eat No. MT - MTHEMTI (7) GEOMETY - PELIM II - PPE - (E) Time : Hours (Pages 3) Max. Marks : 40 Note : (i) ll questions are compulsory. Use of calculator is not allowed. Q.. olve NY FIVE of the following

### Name. 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 12.1-123 Review 12.3 HW Due 18 12.1-123

### Math 2200 Final Review (Multiple Choice)

Math 2200 Name: I: Math 2200 Final Review (Multiple hoice) hapter 1-9 1. Which of the following numbers occurs in the sequence 47, 40, 33, 26, 19,...? 16 34 43 25 2. The common difference in the arithmetic

### Lesson 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

### If the measure ofaacb is less than 180, then A, B, and all the points on C that lie in the

age 1 of 7 11.3 rcs and entral ngles oal Use properties of arcs of circles. Key Words minor arc major arc semicircle congruent circles congruent arcs arc length ny two points and on a circle determine

### 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

### 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

### 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

### Page 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