Geometry Pre-AP Unit 2: Oct 6 Oct 20 Date Topic Activity Assignment

Size: px
Start display at page:

Download "Geometry Pre-AP Unit 2: Oct 6 Oct 20 Date Topic Activity Assignment"

Transcription

1 Friday 0/6 Geometry Pre-AP Unit : Oct 6 Oct 0 Date Topic Activity Assignment.5 You will construct congruent segments, Review H/W Pg. 30-3, # 9-5 congruent angles, angle bisectors, Perpendicular Pg. 6: 4-7, 5-6 lines, through a point on line, through a point not on Pg 30: 3, 6-7 the line, segment bisectors and perpendicular Pg 3: 5-7. bisector to a line, using a compass and straight edge. Monday 0/9. Segment length and Segments addition postulate. Ws fractional length in PDF Pg. 4: -8 Tuesday 0/0.3 &.4. Linear pair, same side interior, and Angle addition postulate Class practice Angle addition postulate #-4 Ws #-4 Pg. 9: -0, 5-30 Wed. 0/ PSAT DAY AND SENIOR WORKSHOP Pg. 5: -0. Thursday 0/ 3.3 You will construct parallel lines and transversals and make conjectures about angles formed on parallel lines and transversals lines. Quiz 4 Pg 9: -3, 6-9, Pg 04: -4, 7-8, -4, Pg. 0: 6-. Friday 0/3 Unit review..-.5, 3.3 WS plus Pg 04: -4, 7-8, -4, Pg. 0: 6-. Monday 0/6 Tuesday 0/7 Test : Constructions,.-.5, You will write -column and flow proofs for angle pairs, and segments WS practice. Ws Practice with angle pair #-8 WS writing column proofs: #-6 Wednesday 0/ You will write -column and flow proofs for parallel lines WS: -8 Thursday 0/9 You will write -column and flow proofs for angle addition. Parallel lines problems crook problems. Quiz 5 Early dismissal End of st 9 wks. WS: 9-. And WS angle addition Friday. 0/0 STUDENT HOLIDAY

2 Worksheet _Angle Addition postulate (interior points and angle bisector)

3 x 5 3x 3 Practice with Angle pair Relationships.. Name 3x 8 x + 5 6x 6 3. and 45 x = are complementary. 5x 5 4. m BAD 80 B 3 C D x = A 5. 4x + 5 x + 3 x = 6. x + 3x + 8 x = 7. x = 8. x = 3x + 5 5x 0 x = x =

4 Writing proofs Given: Circle R Circle S VW is the perpendicular bisector of RS Given: Circle R Circle S RVT SVT Given: Circle Q Circle S R is the midpoint of PT Given: Circle Q Circle S mrs mpq

5 Given: mbd mcd DAB DAC Given: mbd mcd m DAC m BAC Given: MK is the bisector of JL JML is isosceles Given: J L, MK JL K is the midpoint of JL

6 Write as column and flow proofs. Given: 3 3 Given: C bisects BD AB DE AC CE A B C D E This proof involves a little more work 3 Given: and are supplementary 3 3

7 4) Given: B bisects AC C bisects BD AB CD A B C D 5) Given: m = m 3 m + m 3 = 80 3 B 6) Given: bisects BAD m = m 3 m = m 3 AC A C 3 D

8 Practice PROOFS. Given: a b and c d 3 a 3 b c d. Given: a b and c d 3 a 5 3 b 4 c d 3. Given: a b and c d 4 3 a 4 5 b c d 4. Given: a b and c d 3 a 3 b c d

9 Geometry Proofs with Parallel Lines Name Period Date Write flow proofs on your own paper for each of the following:. Given: DE // BC A ED bisects AEB D Use for & 3 E 4 5. Given: AEB DEC 5 DE // BC B C 3. Given: BC//DF BA//DE A C 3 B D 4 F E 4. Given: RS//QT 4 QR//TS Q T 4 3 R S

10 A D 5. Given: 3 bisects ABC BC//DE BF B 4 3 F E C Use for problems 5 and 6 6. Given BC//DE 3 bisects ABC BF 7. Given: m m 5 80 m m 4 80 YZ//VU Use for 7 and 8 Y X 3 4 T Z V 5 U 8. Given: YZ//VU and 5 are supplementary XY//TU

11 9. Given: XS//TY R 4 Use for 9 and 0 RS//TQ X S T 3 4 Y Q 0. Given: RS//TQ SX TY bisects RST bisects STQ XS//TY. Given: CA bisects DAB AD//BE BC bisects ABE D C E and are complementary A B Use for and. Given: CA bisects DAB AD//BE and are complementary BC bisects ABE

12 Worksheet _Angle Addition postulate (interior points and angle bisector)

13

14 Name Geometry Date -'--- Period _ Distance and Segment Measure I. Points A, B, and Care collinear. The lengths of certain segments are given. Which point lies between the other two? Draw a sketch to just ify your answer, - L AC = 4, CB = 8, AB =. BA = 9, BC =, AC = 3 3. AB=5,AC=,BC=7 4. AB=5,AC=4,BC=9. 5. C lies OD Ail but not on AB I C lies on both ABand BA B does not lie on A C andc does not lie on AB I 8. AB>AC>BC 9. AC>BC>AB 0. BC > AB > AC II. Draw a sketch and solve algebraically. Does every arrangement bave a solution?. Given that AC = 4 and AB = (BC), fmd AB' and Be if:.a) B is between A and C b) C is between A and B c) A is between B and C AB=,BC= A.B=,BC= AB=,BC= --' --

15 . Given that AC = 4 and AB = 3(BC), find AB and Be if:. a) B is between Ard C b) C is between A and B c) A is between B and C.' AB=,BC= AB=.nc- AB=,BC= I :.3. Given-that AC = 8 and AB ==.!.BC, find AB and BC if: 5 a) B is between A and C b) C is between A and B c) A is between B and C <. I o.'""-" AB-, BC- AB= BC= AB=,BC= 4. Given that AB""!.BC and AC = 5, find AB and BC if: 6 a) B is between A and C b) C is between A and B c) A is between B and C. AB=,BC- AB=,BC = AB=,Be=

right angle an angle whose measure is exactly 90ᴼ

right 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 information

THEOREMS WE KNOW PROJECT

THEOREMS WE KNOW PROJECT 1 This is a list of all of the theorems that you know and that will be helpful when working on proofs for the rest of the unit. In the Notes section I would like you to write anything that will help you

More information

Triangle Congruence and Similarity Review. Show all work for full credit. 5. In the drawing, what is the measure of angle y?

Triangle Congruence and Similarity Review. Show all work for full credit. 5. In the drawing, what is the measure of angle y? Triangle Congruence and Similarity Review Score Name: Date: Show all work for full credit. 1. In a plane, lines that never meet are called. 5. In the drawing, what is the measure of angle y? A. parallel

More information

Mathematics 2260H Geometry I: Euclidean geometry Trent University, Winter 2012 Quiz Solutions

Mathematics 2260H Geometry I: Euclidean geometry Trent University, Winter 2012 Quiz Solutions Mathematics 2260H Geometry I: Euclidean geometry Trent University, Winter 2012 Quiz Solutions Quiz #1. Tuesday, 17 January, 2012. [10 minutes] 1. Given a line segment AB, use (some of) Postulates I V,

More information

Answer Key. 9.1 Parts of Circles. Chapter 9 Circles. CK-12 Geometry Concepts 1. Answers. 1. diameter. 2. secant. 3. chord. 4.

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

More information

1-2 Measuring and Constructing Segments

1-2 Measuring and Constructing Segments 1-2 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 information

Notes: Review of Algebra I skills

Notes: Review of Algebra I skills Notes: Review of Algebra I skills http://www.monroeps.org/honors_geometry.aspx http://www.parklandsd.org/wp-content/uploads/hrs_geometry.pdf Name: Date: Period: Algebra Review: Systems of Equations * If

More information

0809ge. Geometry Regents Exam Based on the diagram below, which statement is true?

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

More information

Conditional Statement: Statements in if-then form are called.

Conditional Statement: Statements in if-then form are called. Monday 9/21 2.2 and 2.4 Wednesday 9/23 2.5 and 2.6 Conditional and Algebraic Proofs Algebraic Properties and Geometric Proofs Unit 2 Angles and Proofs Packet pages 1-3 Textbook Pg 85 (14, 17, 20, 25, 27,

More information

Common Core Math 3. Can you find the error in this proof. Unit 2B - Proofs

Common Core Math 3. Can you find the error in this proof. Unit 2B - Proofs Common Core Math 3 Unit 2B - Proofs Can you find the error in this proof "$%& a = b'()$& 2 = 1 *+,+$-$%+.. /$,0)%. " a = b $%&'( ) a 2 = ab = a 2 - b 2 = ab - b 2? (a + b)(a - b) = b(a - b) @ (a + b) =

More information

Proofs Practice Proofs Worksheet #2

Proofs Practice Proofs Worksheet #2 Name: No. Per: Date: Serafino Geometry M T W R F 2C Proofs Practice Proofs Worksheet #2 1. Given: O is the midpoint of MN Prove: OW = ON OM = OW 1. O is the midpoint of seg MN Given 2. Segment NO = Segment

More information

2) Are all linear pairs supplementary angles? Are all supplementary angles linear pairs? Explain.

2) Are all linear pairs supplementary angles? Are all supplementary angles linear pairs? Explain. 1) Explain what it means to bisect a segment. Why is it impossible to bisect a line? 2) Are all linear pairs supplementary angles? Are all supplementary angles linear pairs? Explain. 3) Explain why a four-legged

More information

Chapter 10. Properties of Circles

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:

More information

Class 9 Geometry-Overall

Class 9 Geometry-Overall ID : in-9-geometry-overall [1] Class 9 Geometry-Overall For more such worksheets visit www.edugain.com Answer t he quest ions (1) AB is diameter of the circle. If A and B are connected to E, circle is

More information

Triangles. 3.In the following fig. AB = AC and BD = DC, then ADC = (A) 60 (B) 120 (C) 90 (D) none 4.In the Fig. given below, find Z.

Triangles. 3.In the following fig. AB = AC and BD = DC, then ADC = (A) 60 (B) 120 (C) 90 (D) none 4.In the Fig. given below, find Z. Triangles 1.Two sides of a triangle are 7 cm and 10 cm. Which of the following length can be the length of the third side? (A) 19 cm. (B) 17 cm. (C) 23 cm. of these. 2.Can 80, 75 and 20 form a triangle?

More information

Geometry Honors Review for Midterm Exam

Geometry 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 information

Use this space for computations. 1 In trapezoid RSTV below with bases RS and VT, diagonals RT and SV intersect at Q.

Use this space for computations. 1 In trapezoid RSTV below with bases RS and VT, diagonals RT and SV intersect at Q. Part I Answer all 28 questions in this part. Each correct answer will receive 2 credits. For each statement or question, choose the word or expression that, of those given, best completes the statement

More information

Lesson 9.1 Skills Practice

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,

More information

Common Core Math 3. Proofs. Can you find the error in this proof "#$%&!!""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""!

Common Core Math 3. Proofs. Can you find the error in this proof #$%&!!! Common Core Math 3 Proofs Can you find the error in this proof "$%& a = b'()$&2 = 1 *+,+$-$%+.. /$,0)%. " a = b $%&'( ) a 2 = ab = a 2 - b 2 = ab - b 2? (a + b)(a - b) = b(a - b) @ (a + b) = b B a + a

More information

TRIANGLES CHAPTER 7. (A) Main Concepts and Results. (B) Multiple Choice Questions

TRIANGLES CHAPTER 7. (A) Main Concepts and Results. (B) Multiple Choice Questions CHAPTER 7 TRIANGLES (A) Main Concepts and Results Triangles and their parts, Congruence of triangles, Congruence and correspondence of vertices, Criteria for Congruence of triangles: (i) SAS (ii) ASA (iii)

More information

Geometry Advanced Fall Semester Exam Review Packet -- CHAPTER 1

Geometry Advanced Fall Semester Exam Review Packet -- CHAPTER 1 Name: Class: Date: Geometry Advanced Fall Semester Exam Review Packet -- CHAPTER 1 Multiple Choice. Identify the choice that best completes the statement or answers the question. 1. Which statement(s)

More information

0113ge. Geometry Regents Exam In the diagram below, under which transformation is A B C the image of ABC?

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

More information

5. Using a compass and straightedge, construct a bisector of the angle shown below. [Leave all construction marks.]

5. 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 information

Chapter 3 Cumulative Review Answers

Chapter 3 Cumulative Review Answers Chapter 3 Cumulative Review Answers 1a. The triangle inequality is violated. 1b. The sum of the angles is not 180º. 1c. Two angles are equal, but the sides opposite those angles are not equal. 1d. The

More information

Activity Sheet 1: Constructions

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 information

Geometry Chapter 3 & 4 Test

Geometry Chapter 3 & 4 Test Class: Date: Geometry Chapter 3 & 4 Test Use the diagram to find the following. 1. What are three pairs of corresponding angles? A. angles 1 & 2, 3 & 8, and 4 & 7 C. angles 1 & 7, 8 & 6, and 2 & 4 B. angles

More information

Mathematics 2260H Geometry I: Euclidean geometry Trent University, Fall 2016 Solutions to the Quizzes

Mathematics 2260H Geometry I: Euclidean geometry Trent University, Fall 2016 Solutions to the Quizzes Mathematics 2260H Geometry I: Euclidean geometry Trent University, Fall 2016 Solutions to the Quizzes Quiz #1. Wednesday, 13 September. [10 minutes] 1. Suppose you are given a line (segment) AB. Using

More information

Chapter 7. Geometric Inequalities

Chapter 7. Geometric Inequalities 4. Let m S, then 3 2 m R. Since the angles are supplementary: 3 2580 4568 542 Therefore, m S 42 and m R 38. Part IV 5. Statements Reasons. ABC is not scalene.. Assumption. 2. ABC has at least 2. Definition

More information

Geometry Problem Solving Drill 08: Congruent Triangles

Geometry Problem Solving Drill 08: Congruent Triangles Geometry Problem Solving Drill 08: Congruent Triangles Question No. 1 of 10 Question 1. The following triangles are congruent. What is the value of x? Question #01 (A) 13.33 (B) 10 (C) 31 (D) 18 You set

More information

2.8 Proving angle relationships cont. ink.notebook. September 20, page 84 page cont. page 86. page 85. Standards. Cont.

2.8 Proving angle relationships cont. ink.notebook. September 20, page 84 page cont. page 86. page 85. Standards. Cont. 2.8 Proving angle relationships cont. ink.notebook page 84 page 83 2.8 cont. page 85 page 86 Lesson Objectives Standards Lesson Notes 2.8 Proving Angle Relationships Cont. Press the tabs to view details.

More information

Nozha Directorate of Education Form : 2 nd Prep. Nozha Language Schools Ismailia Road Branch

Nozha 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) 1-Complete 1. in the parallelogram, each two opposite

More information

Honors Geometry Mid-Term Exam Review

Honors Geometry Mid-Term Exam Review Class: Date: Honors Geometry Mid-Term 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 information

Geometry Midterm Exam Review 3. Square BERT is transformed to create the image B E R T, as shown.

Geometry Midterm Exam Review 3. Square BERT is transformed to create the image B E R T, as shown. 1. Reflect FOXY across line y = x. 3. Square BERT is transformed to create the image B E R T, as shown. 2. Parallelogram SHAQ is shown. Point E is the midpoint of segment SH. Point F is the midpoint of

More information

Cumulative Test. 101 Holt Geometry. Name Date Class

Cumulative Test. 101 Holt Geometry. Name Date Class Choose the best answer. 1. Which of PQ and QR contains P? A PQ only B QR only C Both D Neither. K is between J and L. JK 3x, and KL x 1. If JL 16, what is JK? F 7 H 9 G 8 J 13 3. SU bisects RST. If mrst

More information

Geometry Chapter 3 3-6: PROVE THEOREMS ABOUT PERPENDICULAR LINES

Geometry Chapter 3 3-6: PROVE THEOREMS ABOUT PERPENDICULAR LINES Geometry Chapter 3 3-6: PROVE THEOREMS ABOUT PERPENDICULAR LINES Warm-Up 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 information

Geometry Arcs and Chords. Geometry Mr. Austin

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

More information

A plane can be names using a capital cursive letter OR using three points, which are not collinear (not on a straight line)

A plane can be names using a capital cursive letter OR using three points, which are not collinear (not on a straight line) Geometry - Semester 1 Final Review Quadrilaterals (Including some corrections of typos in the original packet) 1. Consider the plane in the diagram. Which are proper names for the plane? Mark all that

More information

Grade 9 Lines and Angles

Grade 9 Lines and Angles ID : ww-9-lines-and-angles [1] Grade 9 Lines and Angles For more such worksheets visit www.edugain.com Answer t he quest ions (1) If CD is perpendicular to AB, and CE bisect angle ACB, f ind the angle

More information

Using Inductive and Deductive Reasoning

Using Inductive and Deductive Reasoning Big Idea 1 CHAPTER SUMMARY BIG IDEAS Using Inductive and Deductive Reasoning For Your Notebook When you make a conjecture based on a pattern, you use inductive reasoning. You use deductive reasoning to

More information

0114ge. Geometry Regents Exam 0114

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?

More information

Nozha Directorate of Education Form : 2 nd Prep

Nozha Directorate of Education Form : 2 nd Prep Cairo Governorate Department : Maths Nozha Directorate of Education Form : 2 nd Prep Nozha Language Schools Geometry Revision Sheet Ismailia Road Branch Sheet ( 1) 1-Complete 1. In the parallelogram, each

More information

Basic Quadrilateral Proofs

Basic Quadrilateral Proofs Basic Quadrilateral Proofs For each of the following, draw a diagram with labels, create the givens and proof statement to go with your diagram, then write a two-column proof. Make sure your work is neat

More information

Test Review: Geometry L2 Period 1 and 3 Test Date: Friday November 6

Test Review: Geometry L2 Period 1 and 3 Test Date: Friday November 6 Test Review: Geometry L2 Period 1 and 3 Test Date: Friday November 6 Things it would be a good idea to know: 1) All terms, definitions, properties, postulates, theorems from Unit 1 and Unit 2 2) How to

More information

GEOMETRY CHAPTER 2: Deductive Reasoning

GEOMETRY CHAPTER 2: Deductive Reasoning GEOMETRY CHAPTER 2: Deductive Reasoning NAME Page 1 of 34 Section 2-1: If-Then Statements; Converses Conditional Statement: If hypothesis, then conclusion. hypothesis conclusion converse conditional statement

More information

Homework Assignments Math /02 Fall 2014

Homework Assignments Math /02 Fall 2014 Homework Assignments Math 119-01/02 Fall 2014 Assignment 1 Due date : Friday, September 5 6th Edition Problem Set Section 6.1, Page 178: #1, 2, 3, 4, 5, 6. Section 6.2, Page 185: #1, 2, 3, 5, 6, 8, 10-14,

More information

Honors Geometry Semester Review Packet

Honors Geometry Semester Review Packet Honors Geometry Semester Review Packet 1) Explain what it means to bisect a segment. Why is it impossible to bisect a line? 2) Are all linear pairs supplementary angles? Are all supplementary angles linear

More information

7.5 Proportionality Relationships

7.5 Proportionality Relationships www.ck12.org Chapter 7. Similarity 7.5 Proportionality Relationships Learning Objectives Identify proportional segments when two sides of a triangle are cut by a segment parallel to the third side. Extend

More information

21. Prove that If one side of the cyclic quadrilateral is produced then the exterior angle is equal to the interior opposite angle.

21. Prove that If one side of the cyclic quadrilateral is produced then the exterior angle is equal to the interior opposite angle. 21. Prove that If one side of the cyclic quadrilateral is produced then the exterior angle is equal to the interior opposite angle. 22. Prove that If two sides of a cyclic quadrilateral are parallel, then

More information

Lesson. Warm Up deductive 2. D. 3. I will go to the store; Law of Detachment. Lesson Practice 31

Lesson. Warm Up deductive 2. D. 3. I will go to the store; Law of Detachment. Lesson Practice 31 Warm Up 1. deductive 2. D b. a and b intersect 1 and 2 are supplementary 2 and 3 are supplementary 3. I will go to the store; Law of Detachment Lesson Practice a. 1. 1 and 2 are. 2. 1 and 3 are. 3. m 1

More information

Geometry Arcs and Chords. Geometry Mr. Peebles Spring 2013

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

More information

0612ge. Geometry Regents Exam

0612ge. Geometry Regents Exam 0612ge 1 Triangle ABC is graphed on the set of axes below. 3 As shown in the diagram below, EF intersects planes P, Q, and R. Which transformation produces an image that is similar to, but not congruent

More information

Chapter (Circle) * Circle - circle is locus of such points which are at equidistant from a fixed point in

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.

More information

Properties of Isosceles and Equilateral Triangles

Properties of Isosceles and Equilateral Triangles Properties of Isosceles and Equilateral Triangles In an isosceles triangle, the sides and the angles of the triangle are classified by their position in relation to the triangle s congruent sides. Leg

More information

Suggested problems - solutions

Suggested problems - solutions Suggested problems - solutions Parallel lines Material for this section references College Geometry: A Discovery Approach, 2/e, David C. Kay, Addison Wesley, 2001. In particular, see section 4.1, pp 219-223.

More information

Day 1 Inductive Reasoning and Conjectures

Day 1 Inductive Reasoning and Conjectures Formal Geometry Chapter 2 Logic and Proofs Day 1 Inductive Reasoning and Conjectures Objectives: SWBAT form a conjecture, and check it SWBAT use counterexamples to disprove a conjecture Logic the use of

More information

Definitions, Axioms, Postulates, Propositions, and Theorems from Euclidean and Non-Euclidean Geometries by Marvin Jay Greenberg

Definitions, Axioms, Postulates, Propositions, and Theorems from Euclidean and Non-Euclidean Geometries by Marvin Jay Greenberg Definitions, Axioms, Postulates, Propositions, and Theorems from Euclidean and Non-Euclidean Geometries by Marvin Jay Greenberg Undefined Terms: Point, Line, Incident, Between, Congruent. Incidence Axioms:

More information

Midterm Review Packet. Geometry: Midterm Multiple Choice Practice

Midterm 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 information

Fill in the blanks Chapter 10 Circles Exercise 10.1 Question 1: (i) The centre of a circle lies in of the circle. (exterior/ interior) (ii) A point, whose distance from the centre of a circle is greater

More information

Geometry First Semester Exam Review

Geometry First Semester Exam Review Geometry First Semester Exam Review Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Name three points that are collinear. a. points T, Q, and R c. points

More information

Grade 9 Circles. Answer t he quest ions. For more such worksheets visit

Grade 9 Circles. Answer t he quest ions. For more such worksheets visit ID : th-9-circles [1] Grade 9 Circles For more such worksheets visit www.edugain.com Answer t he quest ions (1) ABCD is a cyclic quadrilateral such that AB is a diameter of the circle circumscribing it

More information

4.3. Although geometry is a mathematical study, it has a history that is very much tied. Keep It in Proportion. Theorems About Proportionality

4.3. Although geometry is a mathematical study, it has a history that is very much tied. Keep It in Proportion. Theorems About Proportionality Keep It in Proportion Theorems About Proportionality.3 Learning Goals In this lesson, you will: Prove the Angle Bisector/Proportional Side Theorem. Prove the Triangle Proportionality Theorem. Prove the

More information

Geometry A Exam Review, Chapters 1-6 Final Exam Review Name

Geometry A Exam Review, Chapters 1-6 Final Exam Review Name Final Exam Review Name Hr. Final Exam Information: The Final Exam consists of a Multiple-Choice Section and an Open-Response Section. You may not use notes of any kind on the Final Exam. This Exam Review

More information

Mr. Northcutt's Math Classes Class Presentation

Mr. Northcutt's Math Classes Class Presentation Mr. Northcutt's Math Classes Class Presentation September 9, 2009 (6) Transition Math Math 1 Math 2 1 Transition Math Daily Summary Announcements None Topic 2: Variables & Expressions (D1) 1. Using the

More information

Writing: Answer each question with complete sentences. 1) Explain what it means to bisect a segment. Why is it impossible to bisect a line?

Writing: Answer each question with complete sentences. 1) Explain what it means to bisect a segment. Why is it impossible to bisect a line? Writing: Answer each question with complete sentences. 1) Explain what it means to bisect a segment. Why is it impossible to bisect a line? 2) Are all linear pairs supplementary angles? Are all supplementary

More information

Geometry Midterm REVIEW

Geometry Midterm REVIEW Name: Class: Date: ID: A Geometry Midterm REVIEW Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Given LM = MP and L, M, and P are not collinear. Draw

More information

Unit 5: Congruency. Part 1 of 3: Intro to Congruency & Proof Pieces. Lessons 5-1 through 5-4

Unit 5: Congruency. Part 1 of 3: Intro to Congruency & Proof Pieces. Lessons 5-1 through 5-4 Name: Geometry Period Unit 5: Congruency Part 1 of 3: Intro to Congruency & Proof Pieces Lessons 5-1 through 5-4 In this unit you must bring the following materials with you to class every day: Please

More information

10. Show that the conclusion of the. 11. Prove the above Theorem. [Th 6.4.7, p 148] 4. Prove the above Theorem. [Th 6.5.3, p152]

10. Show that the conclusion of the. 11. Prove the above Theorem. [Th 6.4.7, p 148] 4. Prove the above Theorem. [Th 6.5.3, p152] foot of the altitude of ABM from M and let A M 1 B. Prove that then MA > MB if and only if M 1 A > M 1 B. 8. If M is the midpoint of BC then AM is called a median of ABC. Consider ABC such that AB < AC.

More information

CBSE Sample Paper-03 (Unsolved) SUMMATIVE ASSESSMENT II MATHEMATICS Class IX. Time allowed: 3 hours Maximum Marks: 90

CBSE Sample Paper-03 (Unsolved) SUMMATIVE ASSESSMENT II MATHEMATICS Class IX. Time allowed: 3 hours Maximum Marks: 90 CBSE Sample Paper-3 (Unsolved) SUMMATIVE ASSESSMENT II MATHEMATICS Class IX Time allowed: 3 hours Maximum Marks: 9 General Instructions: a) All questions are compulsory. b) The question paper consists

More information

Geometry Honors: Midterm Exam Review January 2018

Geometry Honors: Midterm Exam Review January 2018 Name: Period: The midterm will cover Chapters 1-6. Geometry Honors: Midterm Exam Review January 2018 You WILL NOT receive a formula sheet, but you need to know the following formulas Make sure you memorize

More information

Grade 7 Lines and Angles

Grade 7 Lines and Angles ID : ae-7-lines-and-angles [1] Grade 7 Lines and Angles For more such worksheets visit www.edugain.com Answer t he quest ions (1) If lines AC and BD intersects at point O such that AOB: BOC = 3:2, f ind

More information

chapter 1 vector geometry solutions V Consider the parallelogram shown alongside. Which of the following statements are true?

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!!! " "

More information

G.CO.6-9 ONLY COMMON CORE QUESTIONS

G.CO.6-9 ONLY COMMON CORE QUESTIONS Class: Date: G.CO.6-9 ONLY COMMON CORE QUESTIONS Multiple Choice Identify the choice that best completes the statement or answers the question. 1 The image of ABC after a rotation of 90º clockwise about

More information

Exercises for Unit I I (Vector algebra and Euclidean geometry)

Exercises for Unit I I (Vector algebra and Euclidean geometry) Exercises for Unit I I (Vector algebra and Euclidean geometry) I I.1 : Approaches to Euclidean geometry Ryan : pp. 5 15 1. What is the minimum number of planes containing three concurrent noncoplanar lines

More information

7. m JHI = ( ) and m GHI = ( ) and m JHG = 65. Find m JHI and m GHI.

7. 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 information

Geometry S1 (#2211) Foundations in Geometry S1 (#7771)

Geometry S1 (#2211) Foundations in Geometry S1 (#7771) Instructional Materials for WCSD Math Common Finals The Instructional Materials are for student and teacher use and are aligned to the Course Guides for the following courses: Geometry S1 (#2211) Foundations

More information

2.1 Practice B. 1. If you like to eat, then you are a good cook. 2. If an animal is a bear, then it is a mammal.

2.1 Practice B. 1. If you like to eat, then you are a good cook. 2. If an animal is a bear, then it is a mammal. hapter.1 Start Thinking Sample answer: If an animal is a horse, then it is a mammal; If an animal is not a mammal, then it cannot be a horse. Any fact stated in the form of an "if-then" statement could

More information

Core Mathematics 2 Coordinate Geometry

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

More information

Geometer: CPM Chapters 1-6 Period: DEAL. 7) Name the transformation(s) that are not isometric. Justify your answer.

Geometer: CPM Chapters 1-6 Period: DEAL. 7) Name the transformation(s) that are not isometric. Justify your answer. Semester 1 Closure Geometer: CPM Chapters 1-6 Period: DEAL Take time to review the notes we have taken in class so far and previous closure packets. Look for concepts you feel very comfortable with and

More information

+ 10 then give the value

+ 10 then give the value 1. Match each vocabulary word to the picture. A. Linear Pair B. Vertical Angles P1 C. Angle Bisector D. Parallel Lines E. Orthocenter F. Centroid For questions 3 4 use the diagram below. Y Z X U W V A

More information

Class : IX(CBSE) Worksheet - 1 Sub : Mathematics Topic : Number system

Class : IX(CBSE) Worksheet - 1 Sub : Mathematics Topic : Number system Class : IX(CBSE) Worksheet - Sub : Mathematics Topic : Number system I. Solve the following:. Insert rational numbers between. Epress 57 65 in the decimal form. 8 and.. Epress. as a fraction in the simplest

More information

Topic 2 [312 marks] The rectangle ABCD is inscribed in a circle. Sides [AD] and [AB] have lengths

Topic 2 [312 marks] The rectangle ABCD is inscribed in a circle. Sides [AD] and [AB] have lengths Topic 2 [312 marks] 1 The rectangle ABCD is inscribed in a circle Sides [AD] and [AB] have lengths [12 marks] 3 cm and (\9\) cm respectively E is a point on side [AB] such that AE is 3 cm Side [DE] is

More information

1. How many planes can be drawn through any three noncollinear points? a. 0 b. 1 c. 2 d. 3. a cm b cm c cm d. 21.

1. How many planes can be drawn through any three noncollinear points? a. 0 b. 1 c. 2 d. 3. a cm b cm c cm d. 21. FALL SEMESTER EXAM REVIEW (Chapters 1-6) CHAPTER 1 1. How many planes can be drawn through any three noncollinear points? a. 0 b. 1 c. 2 d. 3 2. Find the length of PQ. a. 50.9 cm b. 46.3 cm c. 25.7 cm

More information

College Prep Geometry MID-TERM STUDY GUIDE. Mrs. Miller. Name: Due: Thursday, January 9, 2014

College Prep Geometry MID-TERM STUDY GUIDE. Mrs. Miller. Name: Due: Thursday, January 9, 2014 College Prep Geometry MID-TERM STUDY GUIDE Mrs. Miller Name: Due: Thursday, January 9, 04 To receive full credit you must have Tried EVERY PROBLEM Work shown for EVERY PROBLEM All work done in this packet

More information

Homework Assignments Math /02 Fall 2017

Homework Assignments Math /02 Fall 2017 Homework Assignments Math 119-01/02 Fall 2017 Assignment 1 Due date : Wednesday, August 30 Section 6.1, Page 178: #1, 2, 3, 4, 5, 6. Section 6.2, Page 185: #1, 2, 3, 5, 6, 8, 10-14, 16, 17, 18, 20, 22,

More information

College Prep Geometry MID-TERM STUDY GUIDE. Mrs. Miller. Name: Due: Thursday, January 9, 2014

College Prep Geometry MID-TERM STUDY GUIDE. Mrs. Miller. Name: Due: Thursday, January 9, 2014 College Prep Geometry MID-TERM STUDY GUIDE Mrs. Miller Name: Due: Thursday, January 9, 04 To receive full credit you must have Tried EVERY PROBLEM Work shown for EVERY PROBLEM All work done in this packet

More information

Definitions, Axioms, Postulates, Propositions, and Theorems from Euclidean and Non-Euclidean Geometries by Marvin Jay Greenberg ( )

Definitions, Axioms, Postulates, Propositions, and Theorems from Euclidean and Non-Euclidean Geometries by Marvin Jay Greenberg ( ) Definitions, Axioms, Postulates, Propositions, and Theorems from Euclidean and Non-Euclidean Geometries by Marvin Jay Greenberg (2005-02-16) Logic Rules (Greenberg): Logic Rule 1 Allowable justifications.

More information

0811ge. Geometry Regents Exam BC, AT = 5, TB = 7, and AV = 10.

0811ge. 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 information

1. If two angles of a triangle measure 40 and 80, what is the measure of the other angle of the triangle?

1. If two angles of a triangle measure 40 and 80, what is the measure of the other angle of the triangle? 1 For all problems, NOTA stands for None of the Above. 1. If two angles of a triangle measure 40 and 80, what is the measure of the other angle of the triangle? (A) 40 (B) 60 (C) 80 (D) Cannot be determined

More information

Ch 2 Practice. Multiple Choice

Ch 2 Practice. Multiple Choice Ch 2 Practice Multiple Choice 1. For the conditional statement, write the converse and a biconditional statement. If a figure is a right triangle with sides a, b, and c, then a 2 + b 2 = c 2. a. Converse:

More information

Geometry. Unit 2- Reasoning and Proof. Name:

Geometry. Unit 2- Reasoning and Proof. Name: Geometry Unit 2- Reasoning and Proof Name: 1 Geometry Chapter 2 Reasoning and Proof ***In order to get full credit for your assignments they must me done on time and you must SHOW ALL WORK. *** 1. (2-1)

More information

Edexcel New GCE A Level Maths workbook Circle.

Edexcel New GCE A Level Maths workbook Circle. Edexcel New GCE A Level Maths workbook Circle. Edited by: K V Kumaran kumarmaths.weebly.com 1 Finding the Midpoint of a Line To work out the midpoint of line we need to find the halfway point Midpoint

More information

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. 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 information

Euclidean Geometry Proofs

Euclidean Geometry Proofs Euclidean Geometry Proofs History Thales (600 BC) First to turn geometry into a logical discipline. Described as the first Greek philosopher and the father of geometry as a deductive study. Relied on rational

More information

HW Set #1: Problems #1-8 For #1-4, choose the best answer for each multiple choice question.

HW Set #1: Problems #1-8 For #1-4, choose the best answer for each multiple choice question. Geometry Homework Worksheets: Chapter 2 HW Set #1: Problems #1-8 For #1-4, choose the best answer for each multiple choice question. 1. Which of the following statements is/are always true? I. adjacent

More information

Geometry 21 - More Midterm Practice

Geometry 21 - More Midterm Practice Class: Date: Geometry 21 - More Midterm Practice 1. What are the names of three planes that contain point A? 6. If T is the midpoint of SU, what are ST, TU, and SU? A. ST = 7, TU = 63, and SU = 126 B.

More information

The CENTRE for EDUCATION in MATHEMATICS and COMPUTING cemc.uwaterloo.ca Euclid Contest. Wednesday, April 15, 2015

The CENTRE for EDUCATION in MATHEMATICS and COMPUTING cemc.uwaterloo.ca Euclid Contest. Wednesday, April 15, 2015 The CENTRE for EDUCATION in MATHEMATICS and COMPUTING cemc.uwaterloo.ca 015 Euclid Contest Wednesday, April 15, 015 (in North America and South America) Thursday, April 16, 015 (outside of North America

More information

CONGRUENCE OF TRIANGLES

CONGRUENCE OF TRIANGLES Congruence of Triangles 11 CONGRUENCE OF TRIANGLES You might have observed that leaves of different trees have different shapes, but leaves of the same tree have almost the same shape. Although they may

More information

Class 7 Lines and Angles

Class 7 Lines and Angles ID : in-7-lines-and-angles [1] Class 7 Lines and Angles For more such worksheets visit www.edugain.com Answer the questions (1) ABCD is a quadrilateral whose diagonals intersect each other at point O such

More information

SOLUTION. Taken together, the preceding equations imply that ABC DEF by the SSS criterion for triangle congruence.

SOLUTION. Taken together, the preceding equations imply that ABC DEF by the SSS criterion for triangle congruence. 1. [20 points] Suppose that we have ABC and DEF in the Euclidean plane and points G and H on (BC) and (EF) respectively such that ABG DEH and AGC DHF. Prove that ABC DEF. The first congruence assumption

More information

Definitions/Postulates REVIEW!

Definitions/Postulates REVIEW! Do NOW! This is on a worksheet I gave you last week called Practice with Proofs. #1 1) A, B, & C are collinear. B is btwn A & C. AC=32, AB = 2x & BC= 4x+2 2) 1) Given 2) Always start with the givens..

More information