Lesson 9.1 Skills Practice


 Conrad Sherman
 2 years ago
 Views:
Transcription
1 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, and measure. 2. In geometry, a construction can also be called a(n). 3. A(n) is a ruler with no numbers. 4. is the study of shapes and measurement. 5. When you a geometric figure, the figure is created with the use of tools such as a ruler, straightedge, compass, or protractor. 6. are line segments that have the same length. 7. A(n) is described as a straight continuous arrangement of an infinite number of points. 8. A(n) is part of a circle, or the curve between two points on a circle. 9. A(n) is a tool used to create arcs and circles. 10. When you a geometric figure, the figure is created without the use of tools. 11. The point at which two or more lines or arcs intersect or cross is called a(n). 12. A(n) is described as a location in space, and it has no size or shape. 13. are two or more lines that are located in the same plane. Chapter 9 Skills Practice 695
2 Lesson 9.1 Skills Practice page A(n) can be used to approximate the measure of an angle. 15. A(n) is a portion of a line that includes two points and the points between those two points. 16. The points where a line segment begins and ends are called the. 17. When you a geometric figure, the figure is created using only a compass and a straightedge. 18. A(n) is described as a flat surface with an infinite length and width but no depth. 19. Lines that are not located in the same plane are called. Problem Set Make a sketch and a drawing of each given figure. 1. Sketch Drawing Answers may vary Chapter 9 Skills Practice
3 Lesson 9.1 Skills Practice page 3 Name Date Chapter 9 Skills Practice 697
4 Lesson 9.1 Skills Practice page 4 6. Construct each circle with the given radius and center. 7. Construct a circle using AB as the radius and A as the center. A B 698 Chapter 9 Skills Practice
5 Lesson 9.1 Skills Practice page 5 Name Date 8. Construct a circle using CD as the radius and D as the center. D C 9. Construct a circle using EF as the radius and F as the center. E F 10. Construct a circle using GH as the radius and H as the center. G H Chapter 9 Skills Practice 699
6 Lesson 9.1 Skills Practice page Construct a circle using JK as the radius and K as the center. J K 12. Construct a circle using LM as the radius and L as the center. L M Construct each arc using the given information. 13. Construct an arc using AB as the radius and A as the center. Make the arc approximately one inch long and make sure it does not pass through B. Answers will vary. A B 700 Chapter 9 Skills Practice
7 Lesson 9.1 Skills Practice page 7 Name Date 14. Construct an arc using CD as the radius and D as the center. Make the arc approximately one inch long and make sure it does not pass through C. C D 15. Construct an arc using EF as the radius and E as the center. Make the arc approximately one inch long and make sure it does not pass through F. E F 16. Construct an arc using GH as the radius and H as the center. Make the arc approximately one inch long and make sure it passes through G. G H Chapter 9 Skills Practice 701
8 Lesson 9.1 Skills Practice page Construct an arc using JK as the radius and K as the center. Make the arc approximately one inch long and make sure it passes through J. J K 18. Construct an arc using LM as the radius and L as the center. Make the arc approximately one inch long and make sure it passes through M. L M Construct each line segment using the given information. 19. Duplicate AB. A A B B 702 Chapter 9 Skills Practice
9 Lesson 9.1 Skills Practice page 9 Name Date 20. Duplicate CD. C D 21. Duplicate EF. E F 22. Construct a line segment that is twice the length of JK. J K Chapter 9 Skills Practice 703
10 Lesson 9.1 Skills Practice page Construct a line segment that is twice the length of PQ. P Q 24. Construct a line segment that is three times the length of WX. W X 704 Chapter 9 Skills Practice
11 Lesson 9.2 Skills Practice Name Date Angles and More Angles Measuring and Constructing Angles Vocabulary Match each definition to its corresponding term. 1. an angle whose measure is greater than 0, but less than 90 a. ray 2. to divide into two equal parts b. angle 3. a portion of a line that begins at a point and extends infinitely in one direction 4. a ray that is drawn through the vertex of an angle and divides the angle into two congruent angles c. vertex d. sides of an angle 5. an angle whose measure is equal to 180 e. degrees 6. two rays that share a common endpoint to form an angle f. acute angle 7. a unit of measure for angles g. right angle 8. formed by two rays that share a common endpoint h. obtuse angle 9. an angle whose measure is greater than 90, but less than 180 i. straight angle 10. the common endpoint of the two rays that form an angle j. congruent angles 11. two or more angles that have equal measures k. bisect 12. an angle whose measure is equal to 90 l. angle bisector Chapter 9 Skills Practice 705
12 Lesson 9.2 Skills Practice page 2 Problem Set Use a protractor to draw each angle with the given measure angle angle angle angle angle angle 706 Chapter 9 Skills Practice
13 Lesson 9.2 Skills Practice page 3 Name Date angle angle Construct each angle using a compass and straightedge. 9. Construct an angle that is congruent to /A. A A' 10. Construct an angle that is congruent to /B. B Chapter 9 Skills Practice 707
14 Lesson 9.2 Skills Practice page Construct an angle that is congruent to /C. C 12. Construct an angle that is congruent to /D. D 13. Construct an angle that is twice the measure of /E. E 708 Chapter 9 Skills Practice
15 Lesson 9.2 Skills Practice page 5 Name Date 14. Construct an angle that is twice the measure of /F. F Construct the angle bisector of each given angle using a compass and straightedge. 15. Construct the bisector of /G. G 16. Construct the bisector of /H. H Chapter 9 Skills Practice 709
16 Lesson 9.2 Skills Practice page Construct the bisector of /J. J 18. Construct the bisector of /K. K 710 Chapter 9 Skills Practice
17 Lesson 9.2 Skills Practice page 7 Name Date 19. Construct an angle that is onefourth the measure of /M. M 20. Construct an angle that is onefourth the measure of /N. N Chapter 9 Skills Practice 711
18 712 Chapter 9 Skills Practice
19 Lesson 9.3 Skills Practice Name Date Special Angles Complements, Supplements, Midpoints, Perpendiculars, and Perpendicular Bisectors Vocabulary Draw an example of each term. Provide an explanation when necessary. 1. supplementary angles 2. complementary angles 3. perpendicular 4. midpoint of a segment 5. segment bisector 6. perpendicular bisector Chapter 9 Skills Practice 713
20 Lesson 9.3 Skills Practice page 2 7. adjacent angles 8. linear pair 9. vertical angles Problem Set Calculate the measure of an angle that is complementary to each given angle angle angle angle 4. 5 angle angle angle angle angle 714 Chapter 9 Skills Practice
21 Lesson 9.3 Skills Practice page 3 Name Date Calculate the measure of an angle that is supplementary to the given angle angle angle angle angle angle angle angle angle Perform each given construction. 17. Construct a line perpendicular to the given line through point A. A Chapter 9 Skills Practice 715
22 Lesson 9.3 Skills Practice page Construct a line perpendicular to the given line through point B. B 19. Construct a line perpendicular to the given line through point C. C 716 Chapter 9 Skills Practice
23 Lesson 9.3 Skills Practice page 5 Name Date 20. Construct a line perpendicular to the given line through point D. D 21. Construct the perpendicular bisector of EF. E F Chapter 9 Skills Practice 717
24 Lesson 9.3 Skills Practice page Construct the perpendicular bisector of GH. G H 23. Construct the midpoint of JK. J K 718 Chapter 9 Skills Practice
25 Lesson 9.3 Skills Practice page 7 Name Date 24. Construct the midpoint of LM. L M Identify the angle pairs in each given diagram. 25. Name all pairs of adjacent angles in the diagram shown. /1 and /2, /2 and /3, /3 and /4, /4 and / Chapter 9 Skills Practice 719
26 Lesson 9.3 Skills Practice page Name all pairs of adjacent angles in the diagram shown Name all pairs of adjacent angles in the diagram shown Chapter 9 Skills Practice
27 Lesson 9.3 Skills Practice page 9 Name Date 28. Name all pairs of adjacent angles in the diagram shown Name all linear pairs in the diagram shown Chapter 9 Skills Practice 721
28 Lesson 9.3 Skills Practice page Name all linear pairs in the diagram shown Name all linear pairs in the diagram shown Chapter 9 Skills Practice
29 Lesson 9.3 Skills Practice page 11 Name Date 32. Name all linear pairs in the diagram shown Name all vertical angle pairs in the diagram shown Chapter 9 Skills Practice 723
30 Lesson 9.3 Skills Practice page Name all vertical angle pairs in the diagram shown Chapter 9 Skills Practice
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
More informationMath 1312 Sections 1.2, 1.3, and 1.4 Informal Geometry and Measurement; Early Definitions and Postulates; Angles and Their Relationships
Math 1312 Sections 1.2, 1.3, and 1.4 Informal Geometry and Measurement; Early Definitions and Postulates; Angles and Their Relationships Undefined Terms (set, point, line, plane) A, which is represented
More information12 Measuring and Constructing Segments
12 Measuring and Constructing Segments Warm Up Lesson Presentation Lesson Quiz Objectives Use length and midpoint of a segment. Construct midpoints and congruent segments. Vocabulary coordinate midpoint
More informationName: Date: Period: ID: REVIEW CH 1 TEST REVIEW. 1. Sketch and label an example of each statement. b. A B. a. HG. d. M is the midpoint of PQ. c.
Name: Date: Period: ID: REVIEW CH 1 TEST REVIEW 1 Sketch and label an example of each statement a HG b A B c ST UV d M is the midpoint of PQ e Angles 1 and 2 are vertical angles f Angle C is a right angle
More informationDISCOVERING GEOMETRY Over 6000 years ago, geometry consisted primarily of practical rules for measuring land and for
Name Period GEOMETRY Chapter One BASICS OF GEOMETRY Geometry, like much of mathematics and science, developed when people began recognizing and describing patterns. In this course, you will study many
More informationB C. You try: What is the definition of an angle bisector?
US Geometry 1 What is the definition of a midpoint? The midpoint of a line segment is the point that divides the segment into two congruent segments. That is, M is the midpoint of if M is on and M M. 1
More informationChapter 2. Reasoning and Proof
Chapter 2 Reasoning and Proof 2.1 Use Inductive Reasoning Objective: Describe patterns and use deductive reasoning. Essential Question: How do you use inductive reasoning in mathematics? Common Core: CC.912.G.CO.9
More informationGeometry 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. 607608 #347 Reminder Quiz after 10.3 and 10.5
More information2013 ACTM Regional Geometry Exam
2013 TM Regional Geometry Exam In each of the following choose the EST answer and record your choice on the answer sheet provided. To insure correct scoring, be sure to make all erasures completely. The
More informationJakarta International School 8 th Grade AG1
Jakarta International School 8 th Grade AG1 Practice Test  Black Points, Lines, and Planes Name: Date: Score: 40 Goal 5: Solve problems using visualization and geometric modeling Section 1: Points, Lines,
More informationUnit 1: Introduction to Proof
Unit 1: Introduction to Proof Prove geometric theorems both formally and informally using a variety of methods. G.CO.9 Prove and apply theorems about lines and angles. Theorems include but are not restricted
More informationAlg. Exercise (1) Department : Math Form : 1 st prep. Sheet. [1] Complete : 1) Rational number is 2) The set of integer is.. 3) If. is rational if x.
airo Governorate Nozha irectorate of Education Nozha Language Schools Ismailia Road epartment : Math Form : 1 st prep. Sheet [1] omplete : lg. Exercise (1) 1) Rational number is ) The set of integer is..
More informationGeometry 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
More informationQuestions. Exercise (1)
Questions Exercise (1) (1) hoose the correct answer: 1) The acute angle supplements. angle. a) acute b) obtuse c) right d) reflex 2) The right angle complements angle whose measure is. a) 0 b) 45 c) 90
More informationMidterm Review Packet. Geometry: Midterm Multiple Choice Practice
: Midterm Multiple Choice Practice 1. In the diagram below, a square is graphed in the coordinate plane. A reflection over which line does not carry the square onto itself? (1) (2) (3) (4) 2. A sequence
More informationFiveMinute Check (over Lesson 2 7) CCSS Then/Now Postulate 2.10: Protractor Postulate Postulate 2.11: Angle Addition Postulate Example 1: Use the
FiveMinute Check (over Lesson 2 7) CCSS Then/Now Postulate 2.10: Protractor Postulate Postulate 2.11: Angle Addition Postulate Example 1: Use the Angle Addition Postulate Theorems 2.3 and 2.4 Example
More informationright angle an angle whose measure is exactly 90ᴼ
right angle an angle whose measure is exactly 90ᴼ m B = 90ᴼ B two angles that share a common ray A D C B Vertical Angles A D C B E two angles that are opposite of each other and share a common vertex two
More information1.4 Midpoints and Bisectors
www.ck12.org Chapter 1. Basics of Geometry 1.4 Midpoints and Bisectors Learning Objectives Identify the midpoint of line segments. Identify the bisector of a line segment. Understand and the Angle Bisector
More information0811ge. Geometry Regents Exam BC, AT = 5, TB = 7, and AV = 10.
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 2) 8 3) 3 4) 6 2 In the diagram below, ABC XYZ. 4 Pentagon PQRST has PQ parallel to TS. After a translation
More informationNotes: Review of Algebra I skills
Notes: Review of Algebra I skills http://www.monroeps.org/honors_geometry.aspx http://www.parklandsd.org/wpcontent/uploads/hrs_geometry.pdf Name: Date: Period: Algebra Review: Systems of Equations * If
More information7. m JHI = ( ) and m GHI = ( ) and m JHG = 65. Find m JHI and m GHI.
1. Name three points in the diagram that are not collinear. 2. If RS = 44 and QS = 68, find QR. 3. R, S, and T are collinear. S is between R and T. RS = 2w + 1, ST = w 1, and RT = 18. Use the Segment Addition
More information1 Solution of Final. Dr. Franz Rothe December 25, Figure 1: Dissection proof of the Pythagorean theorem in a special case
Math 3181 Dr. Franz Rothe December 25, 2012 Name: 1 Solution of Final Figure 1: Dissection proof of the Pythagorean theorem in a special case 10 Problem 1. Given is a right triangle ABC with angle α =
More informationChapter 2. WorkedOut Solutions Quiz (p. 90)
2.1 2.3 Quiz (p. 90) 1. Ifthen form: If an angle measures 167, then the angle is an obtuse angle. (True) Converse: If an angle is obtuse, then the angle measures 167. (False) Inverse: If an angle does
More informationCommon Core Readiness Assessment 3
ommon ore Readiness ssessment 3 1. Which shape is not matched with its correct net? 3. In the figure below, you cannot assume that 9. X Y Z P T W XPT and ZPW are vertical angles. m YPW = 110 Points T,
More informationPi: The Ultimate Ratio
Pi: The Ultimate Ratio Exploring the Ratio of Circle Circumference to Diameter 1 WARM UP Scale up or down to determine an equivalent ratio. 1. 18 miles 3 hours 5? 1 hour 2. $750 4 days 3. 4. 12 in. 1 ft
More informationGeometry Unit 1 Practice
Lesson 11 1. Persevere in solving problems. Identify each figure. hen give all possible names for the figure. a. S Geometry Unit 1 Practice e. P S G Q. What is a correct name for this plane? W R Z X b..
More informationGeometry/Trig Name: Date: Lesson 111 Writing the Equation of a Perpendicular Bisector
Name: Date: Lesson 111 Writing the Equation of a Perpendicular Bisector Learning Goals: #14: How do I write the equation of a perpendicular bisector? Warmup What is the equation of a line that passes
More informationOver Lesson 2 7 Justify the statement with a property of equality or a property of congruence. Justify the statement with a property of equality or a
FiveMinute Check (over Lesson 2 7) CCSS Then/Now Postulate 2.10: Protractor Postulate Postulate 2.11: Angle Addition Postulate Example 1: Use the Angle Addition Postulate Theorems 2.3 and 2.4 Example
More informationHW Set #1: Problems #18 For #14, choose the best answer for each multiple choice question.
Geometry Homework Worksheets: Chapter 2 HW Set #1: Problems #18 For #14, choose the best answer for each multiple choice question. 1. Which of the following statements is/are always true? I. adjacent
More information9. By the Linear Pair Postulate (Post. 2.3):
Chapter Maintaining Mathematical Proficiency. d = ( ) + (9 ) = ( ) + (6) = 9 + 6 = 5 6.7. d = (8 ( )) + ( 6 7) = (8 + ) + ( ) = () + ( ) = + 69 = 90 7.0. d = (0 5) + (8 ( )) = ( 5) + (8 + ) = ( 5) + ()
More information(RC3) Constructing the point which is the intersection of two existing, nonparallel lines.
The mathematical theory of ruller and compass constructions consists on performing geometric operation with a ruler and a compass. Any construction starts with two given points, or equivalently a segment
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 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 Honors Review for Midterm Exam
Geometry Honors Review for Midterm Exam Format of Midterm Exam: Scantron Sheet: Always/Sometimes/Never and Multiple Choice 40 Questions @ 1 point each = 40 pts. Free Response: Show all work and write answers
More informationGeometry: A Complete Course
Geometry: omplete ourse (with Trigonometry) Module  Student WorkText Written by: Thomas E. lark Larry E. ollins Geometry: omplete ourse (with Trigonometry) Module Student Worktext opyright 2014 by VideotextInteractive
More informationChapter 6. WorkedOut Solutions. Chapter 6 Maintaining Mathematical Proficiency (p. 299)
hapter 6 hapter 6 Maintaining Mathematical Proficiency (p. 99) 1. Slope perpendicular to y = 1 x 5 is. y = x + b 1 = + b 1 = 9 + b 10 = b n equation of the line is y = x + 10.. Slope perpendicular to y
More informationACTIVITY 15 Continued Lesson 152
Continued PLAN Pacing: 1 class period Chunking the Lesson Examples A, B Try These A B #1 2 Example C Lesson Practice TEACH BellRinger Activity Read the introduction with students and remind them of the
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 information14 Angle Measure. Use the figure shown. 1. Name the vertex of ANSWER: 2. Name the sides of ANSWER: 3. What is another name for ANSWER:
Use the figure shown. 7. right; 90 8. 1. Name the vertex of U acute; 25 ALGEBRA In the figure, and are opposite rays, bisects 2. Name the sides of 3. What is another name for XYU, UYX 4. What is another
More informationIntegrated 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
More informationNozha Directorate of Education Form : 2 nd Prep. Nozha Language Schools Ismailia Road Branch
Cairo Governorate Department : Maths Nozha Directorate of Education Form : 2 nd Prep. Nozha Language Schools Sheet Ismailia Road Branch Sheet ( 1) 1Complete 1. in the parallelogram, each two opposite
More informationGeometry Chapter 3 36: PROVE THEOREMS ABOUT PERPENDICULAR LINES
Geometry Chapter 3 36: PROVE THEOREMS ABOUT PERPENDICULAR LINES WarmUp 1.) What is the distance between the points (2, 3) and (5, 7). 2.) If < 1 and < 2 are complements, and m < 1 = 49, then what is
More information1) Use the figure below to name the following figures: 2) Identify the plane containing D, E, and C. 3) Two lines cross at. 4) Two planes cross at
Geometry Semester 1 Final Exam Mixed Review Name: 1) Use the figure below to name the following figures: 2) Identify the plane containing D, E, and C. a) line b) ray c) Opposite rays d) Only adjacent angles
More informationGrade 7 Curriculum Map Key: Math in Focus Course 1 (MIF)
TIME FRAME September UNIT/CONCEPTS Course 2A Content CORE GOALS & SKILLS PA ELIGIBLE STANDARDS & ASSESSMENTS Resources Vocabulary (18 days) Chapter 1: The Real Number System Big Idea: Real numbers are
More informationChapter 2. Reasoning and Proof
Chapter 2 Reasoning and Proof 2.1 Use Inductive Reasoning Objective: Describe patterns and use deductive reasoning. Essential Question: How do you use inductive reasoning in mathematics? Common Core: CC.912.G.CO.9
More informationGEOMETRY CHAPTER 2: Deductive Reasoning
GEOMETRY CHAPTER 2: Deductive Reasoning NAME Page 1 of 34 Section 21: IfThen Statements; Converses Conditional Statement: If hypothesis, then conclusion. hypothesis conclusion converse conditional statement
More informationSEMESTER REVIEW 1: Chapters 1 and 2
Geometry Fall emester Review (1314) EEER REVIEW 1: hapters 1 and 2 1. What is Geometry? 2. What are the three undefined terms of geometry? 3. Find the definition of each of the following. a. Postulate
More informationThe University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY. Student Name:
GEOMETRY The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY Wednesday, August 17, 2011 8:30 to 11:30 a.m., only Student Name: School Name: Print your name and the name of
More informationInt. Geometry Unit 2 Test Review 1
Int. Geometry Unit Test Review irections : Use the diagram to determine if the angles are vertical, adjacent, supplementary, complementary, or a linear pair. Write all that apply.. and. and 6 0. 8 and
More informationGeometry Note Cards EXAMPLE:
Geometry Note Cards EXAMPLE: Lined Side Word and Explanation Blank Side Picture with Statements Sections 124 through 125 1) Theorem 123 (p. 790) 2) Theorem 1214 (p. 790) 3) Theorem 1215 (p. 793) 4)
More informationEXPLORING CHORDS. Q1. Draw and label a radius on the circle. How does a chord compare with a radius? What are their similarities and differences?
EXPLORING CHORDS Name: Date: In this activity you will be using Geogebra to explore some properties associated with chords within a circle. Please answer each question throughout the activity marked Q#
More informationExercise 2.1. Identify the error or errors in the proof that all triangles are isosceles.
Exercises for Chapter Two He is unworthy of the name of man who is ignorant of the fact that the diagonal of a square is incommensurable with its side. Plato (429 347 B.C.) Exercise 2.1. Identify the error
More information12 Measuring and Constructing Segments
12 Measuring and Constructing Segments Lesson Presentation Lesson Quiz Objectives Use length and midpoint of a segment. Construct midpoints and congruent segments. Vocabulary coordinate midpoint distance
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 information1.2 Perpendicular Lines
Name lass ate 1.2 erpendicular Lines Essential Question: What are the key ideas about perpendicular bisectors of a segment? 1 Explore onstructing erpendicular isectors and erpendicular Lines You can construct
More informationHonors Geometry MidTerm Exam Review
Class: Date: Honors Geometry MidTerm Exam Review Multiple Choice Identify the letter of the choice that best completes the statement or answers the question. 1. Classify the triangle by its sides. The
More informationUNIT 1: SIMILARITY, CONGRUENCE, AND PROOFS. 1) Figure A'B'C'D'F' is a dilation of figure ABCDF by a scale factor of 1. 2 centered at ( 4, 1).
1) Figure A'B'C'D'F' is a dilation of figure ABCDF by a scale factor of 1. 2 centered at ( 4, 1). The dilation is Which statement is true? A. B. C. D. AB B' C' A' B' BC AB BC A' B' B' C' AB BC A' B' D'
More informationNational Benchmark Test 1. 1 Which threedimensional figure does this net produce? Name: Date: Copyright by Pearson Education Page 1 of 13
National enchmark Test 1 Name: ate: 1 Which threedimensional figure does this net produce? opyright 20052006 by Pearson Education Page 1 of 13 National enchmark Test 1 2 Which of the following is a net
More informationChapter 5.1 Variation Direct Variation, Inverse Variation and Joint Variation
1 Chapter 5.1 Variation Direct Variation, Inverse Variation and Joint Variation Sometimes the equation that relates two or more variables can be described in words by the idea of variation. There are three
More information2.1 If Then Statements
Chapter Deductive Reasoning Learn deductive logic Do your first  column proof New Theorems and Postulates **PUT YOUR LAWYER HAT ON!!. If Then Statements Recognize the hypothesis and conclusion of an ifthen
More informationChapter 5 Vocabulary:
Geometry Week 11 ch. 5 review sec. 6.3 ch. 5 review Chapter 5 Vocabulary: biconditional conclusion conditional conjunction connective contrapositive converse deductive reasoning disjunction existential
More informationChapter 1 Line and Angle Relationships
Chapter 1 Line and Angle Relationships SECTION 1.1: Sets, Statements, and Reasoning 1. a. Not a statement. b. Statement; true c. Statement; true d. Statement; false 5. Conditional 9. Simple 13. H: The
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 information121. Parabolas. Vocabulary. What Is a Parabola? Lesson. Definition of Parabola. Mental Math
Chapter 2 Lesson 2 Parabolas BIG IDEA From the geometric defi nition of a parabola, it can be proved that the graph of the equation y = ax 2 is a parabola. Vocabulary parabola focus, directrix axis of
More informationChapter Test. Chapter Tests LM 5 4, }} MO 5 14, } LN Answers. In Exercises 4 6, use the diagram. Geometry Benchmark Tests
Chapter Test For use after Chapter. Which of the following is not an undefined term? A. Point B. Plane C. Line D. Ray. Which of the following is an undefined term? A. Line B. Ray C. Segment D. Intersection
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 informationLesson 10 Problem Set
Lesson 10 Problem Set Write an equation and solve for the measure of. Verify the measurement using a protractor. 1. is a right angle. 2. is a right angle. A E 45 45 + = 90 F 20 + = G = = 3. is a straight
More informationCh 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
More informationGeometry Final Review. Chapter 1. Name: Per: Vocab. Example Problems
Geometry Final Review Name: Per: Vocab Word Acute angle Adjacent angles Angle bisector Collinear Line Linear pair Midpoint Obtuse angle Plane Pythagorean theorem Ray Right angle Supplementary angles Complementary
More informationGEO REVIEW TEST #1. 1. In which quadrilateral are the diagonals always congruent?
GEO REVIEW TEST #1 Name: Date: 1. In which quadrilateral are the diagonals always congruent? (1) rectangle (3) rhombus 4. In the accompanying diagram, lines AB and CD intersect at point E. If m AED = (x+10)
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 informationChapters 1 & 2 Basics of Geometry & Reasoning/Proof
1 st Semester Chapters 1 & 2 Basics of Geometry & Reasoning/Proof Name: Teacher: Mrs. Gerardot or Mrs. Brown Period: Gerardot and Brown 1 1.2 Points Lines and Planes HW: 1.2 worksheet Point UNDEFINED Terms
More informationMidpoints and Bisectors
Midpoints and Bisectors Say Thanks to the Authors Click http://www.ck12.org/saythanks (No sign in required) To access a customizable version of this book, as well as other interactive content, visit www.ck12.org
More informationGeometry GENERAL GEOMETRY
Geometry GENERAL GEOMETRY Essential Vocabulary: point, line, plane, segment, segment bisector, midpoint, congruence I can use the distance formula to determine the area and perimeters of triangles and
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 informationName two radii in Circle E.
A C E B D Name two radii in Circle E. Unit 4: Prerequisite Terms A C E B D ECandED Unit 4: Prerequisite Terms A C E B D Name all chords in Circle E. Unit 4: Prerequisite Terms A C E B D AD, CD, AB Unit
More informationGeometry: A Complete Course
Geometry: omplete ourse (with Trigonometry) Module Progress Tests Written by: Larry E. ollins Geometry: omplete ourse (with Trigonometry) Module  Progress Tests opyright 2014 by VideotextInteractive Send
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 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 informationGEOMETRY CHAPTER 2 REVIEW / PRACTICE TEST
GEOMETRY CHAPTER 2 REVIEW / PRACTICE TEST Name: Date: Hour: SECTION 1: Rewrite the conditional statement in IfThen Form. Then write its Converse, Inverse, and Contrapositive. 1) Adjacent angles share
More informationUNIT 1. Basics of Geometry. What is a pattern? Aug 20 11:14 AM. Jun 8 2:09 PM. Aug 20 10:46 AM. Aug 20 11:08 AM. 1.1 Finding and Describing Patterns
UNIT 1 Basics of Geometry 1.1 Finding and Describing Patterns What is a pattern? Jun 8 2:09 PM Aug 20 11:00 AM Aug 20 10:46 AM Aug 20 11:04 AM Let's Practice! Making predictions! Describe a pattern. 3.
More information12 Line Segments and Distance. Find the measurement of each segment. Assume that each figure is not drawn to scale. ANSWER: 3.8 in. ANSWER: 2.
1. Find the measurement of each segment. Assume that each figure is not drawn to scale. TIME CAPSULE Graduating classes have buried time capsules on the campus of East Side High School for over twenty
More informationACTIVITY 12 Continued. TEACHER to TEACHER. Lesson 123 PLAN TEACH
Learning Targets: pply the Segment ddition Postulate to find lengths of segments. Use the definition of midpoint to find lengths of segments. SUESTED LERNIN STRTEIES: Close Reading, Look for a Pattern,
More information(b) Followup visits: December, May, October, March. (c ) 10, 4, 2, 8,..
Geometry Honors  Chapter 2 Reasoning and Proof Section 21 Inductive Reasoning and Conjecture I can explore inductive and deductive reasoning. I can find counterexamples to disprove conjectures. I can
More informationPreAP Geometry. True or False: 1. Points A, B, and D are collinear. 2. Points B, F, and H are coplanar. 3. Points H, B, D, and A are coplanar.
PreAP Geometry Unit 1 Test Review Name: Date: Period: True or False: 1. Points A, B, and D are collinear. 2. Points B, F, and H are coplanar.. Points H, B, D, and A are coplanar. 4. XV is the same as
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 informationName: Class: Date: 5. If the diagonals of a rhombus have lengths 6 and 8, then the perimeter of the rhombus is 28. a. True b.
Indicate whether the statement is true or false. 1. If the diagonals of a quadrilateral are perpendicular, the quadrilateral must be a square. 2. If M and N are midpoints of sides and of, then. 3. The
More information14.3 Tangents and Circumscribed Angles
Name lass Date 14.3 Tangents and ircumscribed ngles Essential uestion: What are the key theorems about tangents to a circle? Explore G.5. Investigate patterns to make conjectures about geometric relationships,
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 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 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 informationThe University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY. Student Name:
GEOMETRY The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY Thursday, January 27, 2011 9:15 a.m. to 12:15 p.m., only Student Name: School Name: Print your name and the name
More informationUnit 3, Lesson 2: Exploring Circles
Unit 3, Lesson 2: Exploring Circles Lesson Goals Describe the characteristics that make something a circle. Be introduced to the terms diameter, center, radius, and circumference. Required Materials rulers
More informationChapter 6. WorkedOut Solutions AB 3.61 AC 5.10 BC = 5
27. onstruct a line ( DF ) with midpoint P parallel to and twice the length of QR. onstruct a line ( EF ) with midpoint R parallel to and twice the length of QP. onstruct a line ( DE ) with midpoint Q
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 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 information5. Using a compass and straightedge, construct a bisector of the angle shown below. [Leave all construction marks.]
Name: Regents Review Session Two Date: Common Core Geometry 1. The diagram below shows AB and DE. Which transformation will move AB onto DE such that point D is the image of point A and point E is the
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 information51 Perpendicular and Angle Bisectors
51 Perpendicular and Angle Bisectors Warm Up Lesson Presentation Lesson Quiz Geometry Warm Up Construct each of the following. 1. A perpendicular bisector. 2. An angle bisector. 3. Find the midpoint and
More information1 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.
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 prove l m? 1) 2.5 2) 4.5 3)
More information