OBJECTIVE: UNDERSTAND THE BASICS OF GEOMETRY (16.1 AND 16.2)

Size: px
Start display at page:

Download "OBJECTIVE: UNDERSTAND THE BASICS OF GEOMETRY (16.1 AND 16.2)"

Transcription

1 Warmup 1/ reated by Mr. Lischwe (Use the same warmup sheet as last week. You should have one day on it already.) 1. reate a goal for this 9 weeks and then tape it to the #goals cabinet. o over Parking Lot Strategies 2. When you finish 1), continue working on your Parking Lot posters. You have until 10:25. O! OJTV: UNRSTN T SS O OMTRY (16.1 N 16.2) WT S T RN TWN PONT, LN, N PLN? Undefined Terms Point, line, and plane are undefined terms. We call them this because they are the most basic terms in eometry. They cannot be defined using other terms. Points, Lines, Planes pg. 775 point is a specific location. t has no dimension and is represented by a dot. line is a connected straight path. t has no thickness and it continues forever in both directions. plane is a flat surface. t has no thickness and it extends forever in all directions. 1

2 Naming Points Lines Naming Lines Planes oldable 2

3 Point Line Plane efined Terms Now that we know what undefined terms are, what are defined terms? What is classified as a defined term? efined terms are terms that are defined by undefined terms. 3

4 Line Segment Ray Quick Reflection s KJ the same as JK? omework pg. 785 (17-21) N TXTOOK TOY!!! reated by na oero Warmup 1/(Messi s number) (This is still week 1 warmups. We are combining this week and last week.) 1) ome up with as many names as you can for this line: 2) ome up with as many names as you can for this segment: (the whole thing) 3) ome up with as many names as you can for this ray: P 4) (hallenge) ow many possible names for this plane are there? N L O T O 4

5 ollinear oplanar ON T K O YOUR OLL: ongruent segments are segments that have the same length. n the diagram, PQ = RS. Tick marks are used in a figure to show congruent segments. PQ RS means segment PQ is congruent to segment RS f two NUMRS are the same: equal = f two OMTR URS are the same: congruent 5

6 Midpoint Segment isector ngles pg. 790 WT S N NL? n angle is a figure formed by two rays with the same endpoint. The common endpoint is called the vertex of the angle. The rays are the sides of the angle. vertex Naming ngles Naming ngles 6

7 Naming ngles ngle ive our Ways to Name this ngle pg. 790 Write the different ways you can name the angles in the diagram. J RTQ, STR, 1, 2 L 1 K istinction! refers to the angle istelf. m refers to the measurement of the angle. Measuring ngles The measure of an angle is usually given in degrees. Since there are 360 in a circle, one degree is 1/360 of a circle. We can use protractors to measure angles. pg

8 pg. 791 Let s play with protractors! onstruct a 50 degree angle. onstruct a 35 degree angle that faces up like a v. onstruct a 120 degree angle. On back of foldable! ongruent angles are angles that have the same measure. n the diagram, m = m. rc marks are used to show that the two angles have equal measures. ngle isector pg. 792 n angle bisector is a ray that divides an angle into two congruent angles. JK bisects LJM; thus m LJK = m KJM. means ngle is congruent to angle ngle isector Postulate 8

9 Segment ddition Postulate pg. 777 What is? 12 4 Let,, and be collinear points. f is between and, then + = What is? 7 13 Notice: this means the length of segment plus the length of segment equals the length of segment f three points are collinear, then the lengths of the two shorter segments equals the length of the larger segment. is between and, = 6, and = 11. ind. is between and. ind. = + 11 = = Seg. dd. Postulate Substitute 6 for and 11 for. Subtract 6 from both sides. Simplify. x = 4 = 24 S is the midpoint of RT. ind RS, ST, and RT. R 2x S 3x 2 T ngle ddition Postulate pg. 792 f S is in the interior of PQR, then m PQR = m PQS + m SQR. RS = 4 ST = 4 RT = 8 9

10 m XWZ = 121 and m XWY = 59. ind m YWZ. KM bisects JKL. ind m JKM. m YWZ = m XWZ m XWY dd. Post. m YWZ = Substitute the given values. m YWZ = 62 Subtract. (7x 12) m JKM = 30 omework Pg. 795 (4-11, 15, 16, 20-22, 25) 10

1-3 Measuring and Constructing Angles

1-3 Measuring and Constructing Angles Bell-ringer 1. Draw AB and AC, where A, B, and C are noncollinear. Possible answer: 2. Draw opposite rays DE and DF. A B C F D E Solve each equation. 3. 2x + 3 + x 4 + 3x 5 = 180 31 4. 5x + 2 = 8x 10 4

More information

Analytic Geometry. Pick up the weekly agenda sheet and the packet for the week. Find your vocabulary match. This is your new team member.

Analytic Geometry. Pick up the weekly agenda sheet and the packet for the week. Find your vocabulary match. This is your new team member. Happy New Year! Analytic Geometry Pick up the weekly agenda sheet and the packet for the week. Find your vocabulary match. This is your new team member. Unit 1: Similarity, Congruence & Proofs Vocabulary

More information

Basics of Geometry Unit 1 - Notes. Objective- the students will be able to use undefined terms and definitions to work with points, lines and planes.

Basics of Geometry Unit 1 - Notes. Objective- the students will be able to use undefined terms and definitions to work with points, lines and planes. asics of Geometry Unit 1 - Notes Objective- the students will be able to use undefined terms and definitions to work with points, lines and planes. Undefined Terms 1. Point has no dimension, geometrically

More information

Objective- the students will be able to use undefined terms and definitions to work with points, lines and planes. Undefined Terms

Objective- the students will be able to use undefined terms and definitions to work with points, lines and planes. Undefined Terms Unit 1 asics of Geometry Objective- the students will be able to use undefined terms and definitions to work with points, lines and planes. Undefined Terms 1. Point has no dimension, geometrically looks

More information

Lesson 1-4: Measuring Segments and Angles. Consider the following section of a ruler showing 1 and 2 :

Lesson 1-4: Measuring Segments and Angles. Consider the following section of a ruler showing 1 and 2 : Lesson -4: Measuring Segments and ngles onsider the following section of a ruler showing and : How many points are there between the and the marks? Did you say three? Don t be fooled by the fact that only

More information

1.4 Measure and Classify Angles

1.4 Measure and Classify Angles 1.4 Measure and Classify ngles Goal p Name, measure, and classify angles. Your Notes VOCULY ngle ides of an angle Vertex of an angle Measure of an angle cute angle ight angle Obtuse angle traight angle

More information

Chapter 1 Tools of Geometry

Chapter 1 Tools of Geometry Chapter 1 Tools of Geometry Goals: 1) learn to draw conclusions based on patterns 2) learn the building blocks for the structure of geometry 3) learn to measure line segments and angles 4) understand the

More information

POTENTIAL REASONS: Definition of Congruence:

POTENTIAL REASONS: Definition of Congruence: Sec 1.6 CC Geometry Triangle Proofs Name: POTENTIAL REASONS: Definition of Congruence: Having the exact same size and shape and there by having the exact same measures. Definition of Midpoint: The point

More information

Maintaining Mathematical Proficiency

Maintaining Mathematical Proficiency Name Date Chapter 1 Maintaining Mathematical Proficiency Simplify the expression. 1. 3 + ( 1) = 2. 10 11 = 3. 6 + 8 = 4. 9 ( 1) = 5. 12 ( 8) = 6. 15 7 = + = 8. 5 ( 15) 7. 12 3 + = 9. 1 12 = Find the area

More information

1.1 Understanding the Undefined Terms

1.1 Understanding the Undefined Terms 1.1 Understanding the Undefined Terms Undefined Terms There are three undefined terms in geometry, these words do not have a formal definition. The undefined terms are:,, and. Naming Points, Lines, and

More information

Geometry. Points, Lines, Planes & Angles. Part 2. Angles. Slide 1 / 185 Slide 2 / 185. Slide 4 / 185. Slide 3 / 185. Slide 5 / 185.

Geometry. Points, Lines, Planes & Angles. Part 2. Angles. Slide 1 / 185 Slide 2 / 185. Slide 4 / 185. Slide 3 / 185. Slide 5 / 185. Slide 1 / 185 Slide 2 / 185 eometry Points, ines, Planes & ngles Part 2 2014-09-20 www.njctl.org Part 1 Introduction to eometry Slide 3 / 185 Table of ontents Points and ines Planes ongruence, istance

More information

Points, Lines, and Planes 1.1

Points, Lines, and Planes 1.1 Points, Lines, and Planes 1.1 Point a location ex. write as: Line made up of points and has no thickness or width. ex. c write as:, line c ollinear points on the same line. Noncollinear points not on the

More information

Name Date Period. 1.1 Understanding the Undefined Terms

Name Date Period. 1.1 Understanding the Undefined Terms Name Date Period Lesson Objective: 1.1 Understanding the Undefined Terms Naming Points, Lines, and Planes Point Line Plane Collinear: Coplanar: 1. Give 2 other names for PQ and plane R. 2. Name 3 points

More information

Geometry Lesson 1-1: Identify Points, Lines, and Planes Name Hr Pg. 5 (1, 3-22, 25, 26)

Geometry Lesson 1-1: Identify Points, Lines, and Planes Name Hr Pg. 5 (1, 3-22, 25, 26) Geometry Lesson 1-1: Identify Points, Lines, and Planes Name Hr Pg. 5 (1, 3-22, 25, 26) Learning Target: At the end of today s lesson we will be able to successfully name and sketch geometric figures.

More information

Geometry Chapter 1 Basics of Geometry

Geometry Chapter 1 Basics of Geometry Geometry Chapter 1 asics of Geometry ssign Section Pages Problems 1 1.1 Patterns and Inductive Reasoning 6-9 13-23o, 25, 34-37, 39, 47, 48 2 ctivity!!! 3 1.2 Points, Lines, and Planes 13-16 9-47odd, 55-59odd

More information

1-1 Understanding Points, Lines, and Planes (pp. 6 11) Vocabulary EXERCISES

1-1 Understanding Points, Lines, and Planes (pp. 6 11) Vocabulary EXERCISES Vocabulary acute angle.................. 1 adjacent angles.............. 8 angle....................... 0 angle bisector............... 3 area........................ 36 base........................ 36

More information

UNIT 1: TOOLS OF GEOMETRY POINTS,LINES, & PLANES Geometry is a mathematical system built on accepted facts, basic terms, and definitions.

UNIT 1: TOOLS OF GEOMETRY POINTS,LINES, & PLANES Geometry is a mathematical system built on accepted facts, basic terms, and definitions. UNIT 1: TOOLS OF GEOMETRY POINTS,LINES, & PLANES Geometry is a mathematical system built on accepted facts, basic terms, and definitions. Point, line, and plane are all undefined terms. They are the basic

More information

Whenever two figures have the same size and shape, they are called congruent. Triangles ABC and DEF are congruent. You can match up vertices like

Whenever two figures have the same size and shape, they are called congruent. Triangles ABC and DEF are congruent. You can match up vertices like Unit 1: orresponding Parts in a ongruence Section 1: ongruent Figures Whenever two figures have the same size and shape, they are called congruent. F D E Triangles and DEF are congruent. You can match

More information

Using the Properties of Equality

Using the Properties of Equality 8.1 Algebraic Proofs (G.CO.9) Properties of Equality Property Addition Property of Equality Subtraction Property of Equality Multiplication Property of Equality Division Property of Equality Distributive

More information

Unit 1: Foundations of Geometry Section 1: Points, Lines & Planes. The most basic figures in geometry are.

Unit 1: Foundations of Geometry Section 1: Points, Lines & Planes. The most basic figures in geometry are. Unit 1: Foundations of Geometry Section 1: Points, Lines & Planes The most basic figures in geometry are. 1 Intersections: Lines Planes Ex #1 2 1a. Name four coplanar points. 1b. Name three lines. 2.Use

More information

Definitions. You can represent a point by a dot and name it by a capital letter.

Definitions. You can represent a point by a dot and name it by a capital letter. Definitions Name Block Term Definition Notes Sketch Notation Point A location in space that is represented by a dot and has no dimension You can represent a point by a dot and name it by a capital letter.

More information

Geometry - Chapter 1 - Corrective #1

Geometry - Chapter 1 - Corrective #1 Class: Date: Geometry - Chapter 1 - Corrective #1 Short Answer 1. Sketch a figure that shows two coplanar lines that do not intersect, but one of the lines is the intersection of two planes. 2. Name two

More information

Points, Lines, Planes, & Angles

Points, Lines, Planes, & Angles Points, Lines, Planes, and ngles Points, Lines, Planes, & ngles www.njctl.org Table of ontents Points, Lines, & Planes Line Segments Simplifying Perfect Square Radical Expressions Rational & Irrational

More information

1.1 Segment Length and Midpoints

1.1 Segment Length and Midpoints Name lass ate 1.1 Segment Length and Midpoints Essential Question: How do you draw a segment and measure its length? Explore Exploring asic Geometric Terms In geometry, some of the names of figures and

More information

Unit 3. Chapter 1. Foundations of Geometry. Name. Hour

Unit 3. Chapter 1. Foundations of Geometry. Name. Hour Unit 3 Chapter 1 Foundations of Geometry Name Hour 1 Geometry Unit 3 Foundations of Geometry Chapter 1 Monday October 1 Tuesday October 2 1.1 Understanding Points, Lines, & Planes 1.2 Linear Measure DHQ

More information

1.1 IDENTIFY POINTS, LINES AND PLANES

1.1 IDENTIFY POINTS, LINES AND PLANES 1.1 IDENTIFY POINTS, LINES AND PLANES OBJECTIVE I WILL KNOW THESE DEFINITIONS AND BE ABLE TO SKETCH THEM: POINT LINE PLANE RAY OPPOSITE RAY COLLINEAR AND COPLANAR POINTS INTERSECTIONS OF TWO LINES AND

More information

Unit 1 Unit 1 A M. M.Sigley, Baker MS. Unit 1 Unit 1. 3 M.Sigley, Baker MS

Unit 1 Unit 1 A M. M.Sigley, Baker MS. Unit 1 Unit 1. 3 M.Sigley, Baker MS A M S 1 2 G O E A B 3 4 LINE POINT Undefined No thickness Extends infinitely in two directions Designated with two points Named with two capital letters or Undefined No size Named with a capital letter

More information

The following diagram represents a segment. Segments are made up of points and are straight.

The following diagram represents a segment. Segments are made up of points and are straight. Notes Page 1 1.1 Notes Thursday, ugust 21, 2008 3:14 PM Points: Points are name by using capital letters. Example: Point or Point E E F The diagram above represents a line. Lines are made up of points

More information

Geo - CH1 Practice Test

Geo - CH1 Practice Test Geo - H1 Practice Test Multiple hoice Identify the choice that best completes the statement or answers the question. 1. Find the length of. a. = 7 c. = 7 b. = 9 d. = 8 2. Find the best sketch, drawing,

More information

(Current Re nweb Grade)x.90 + ( finalexam grade) x.10 = semester grade

(Current Re nweb Grade)x.90 + ( finalexam grade) x.10 = semester grade 2//2 5:7 PM Name ate Period This is your semester exam which is worth 0% of your semester grade. You can determine grade what-ifs by using the equation below. (urrent Re nweb Grade)x.90 + ( finalexam grade)

More information

Geometry. Points, Lines, Planes & Angles. Part 2. Slide 1 / 185. Slide 2 / 185. Slide 3 / 185. Table of Contents

Geometry. Points, Lines, Planes & Angles. Part 2. Slide 1 / 185. Slide 2 / 185. Slide 3 / 185. Table of Contents Slide 1 / 185 Slide 2 / 185 Geometry Points, Lines, Planes & ngles Part 2 2014-09-20 www.njctl.org Part 1 Introduction to Geometry Table of ontents Points and Lines Planes ongruence, istance and Length

More information

Warm-Up Based on upper. Based on lower boundary of 1. m 1 m 2 m 3 m What do you notice about these angles?

Warm-Up Based on upper. Based on lower boundary of 1. m 1 m 2 m 3 m What do you notice about these angles? Warm-Up 1.8.1 Metalbro is a construction company involved with building a new skyscraper in ubai. The diagram below is a rough sketch of a crane that Metalbro workers are using to build the skyscraper.

More information

Geometry Reasons for Proofs Chapter 1

Geometry Reasons for Proofs Chapter 1 Geometry Reasons for Proofs Chapter 1 Lesson 1.1 Defined Terms: Undefined Terms: Point: Line: Plane: Space: Postulate 1: Postulate : terms that are explained using undefined and/or other defined terms

More information

b) A ray starts at one point on a line and goes on forever. c) The intersection of 2 planes is one line d) Any four points are collinear.

b) A ray starts at one point on a line and goes on forever. c) The intersection of 2 planes is one line d) Any four points are collinear. Name: Review for inal 2016 Period: eometry 22 Note to student: This packet should be used as practice for the eometry 22 final exam. This should not be the only tool that you use to prepare yourself for

More information

Name: Unit 4 Congruency and Triangle Proofs

Name: Unit 4 Congruency and Triangle Proofs Name: Unit 4 ongruency and Triangle Proofs 1 2 Triangle ongruence and Rigid Transformations In the diagram at the right, a transformation has occurred on. escribe a transformation that created image from.

More information

Remember from Lesson 1 that a ray has one fixed end and extends indefinitely in one direction. For example YV!!!"

Remember from Lesson 1 that a ray has one fixed end and extends indefinitely in one direction. For example YV!!! Lesson 3 Lesson 3, page 1 of 1 Glencoe Geometry Chapter 1.6 & 1.7 Angles: Exploration & Relationships By the end of this lesson, you should be able to 1. Identify angles and classify angles. 2. Use the

More information

Chapter 1-2 Points, Lines, and Planes

Chapter 1-2 Points, Lines, and Planes Chapter 1-2 Points, Lines, and Planes Undefined Terms: A point has no size but is often represented by a dot and usually named by a capital letter.. A A line extends in two directions without ending. Lines

More information

UNIT 1A. I can list the tools of geometry I can calculate midpoint in coordinate geometry

UNIT 1A. I can list the tools of geometry I can calculate midpoint in coordinate geometry Geometry 1-2 The Building Blocks of Geometry My academic goal for this unit is... UNIT 1A Name: Teacher: Per: heck for Understanding Key: Understanding at start of the unit Understanding after practice

More information

a. If an insect is a butterfly, then it has four wings b. Four angles are formed if two lines intersect

a. If an insect is a butterfly, then it has four wings b. Four angles are formed if two lines intersect Geometry Unit 1 Part 1 Test Review Name: ate: Period: Part I efinitions, Postulates, Formulas, and Theorems Point Inductive Reasoning onditional Statement Postulate Line onjecture hypothesis Segment ddition

More information

Geometry. Slide 1 / 190 Slide 2 / 190. Slide 4 / 190. Slide 3 / 190. Slide 5 / 190. Slide 5 (Answer) / 190. Angles

Geometry. Slide 1 / 190 Slide 2 / 190. Slide 4 / 190. Slide 3 / 190. Slide 5 / 190. Slide 5 (Answer) / 190. Angles Slide 1 / 190 Slide 2 / 190 Geometry ngles 2015-10-21 www.njctl.org Slide 3 / 190 Table of ontents click on the topic to go to that section Slide 4 / 190 Table of ontents for Videos emonstrating onstructions

More information

Day 1: Geometry Terms & Diagrams CC Geometry Module 1

Day 1: Geometry Terms & Diagrams CC Geometry Module 1 Name ate ay 1: Geometry Terms & iagrams Geometry Module 1 For #1-3: Identify each of the following diagrams with the correct geometry term. #1-3 Vocab. ank Line Segment Line Ray 1. 2. 3. 4. Explain why

More information

Geometry Definitions, Postulates, and Theorems. Chapter 4: Congruent Triangles. Section 4.1: Apply Triangle Sum Properties

Geometry Definitions, Postulates, and Theorems. Chapter 4: Congruent Triangles. Section 4.1: Apply Triangle Sum Properties Geometry efinitions, Postulates, and Theorems Key hapter 4: ongruent Triangles Section 4.1: pply Triangle Sum Properties Standards: 12.0 Students find and use measures of sides and of interior and exterior

More information

Date Name of Lesson Assignments & Due Dates

Date Name of Lesson Assignments & Due Dates Date Name of Lesson Assignments & Due Dates Basic Terms Points, Lines and Planes Constructions (Copy Angle and Segment) Distance Formula Activity for Distance Formula Midpoint Formula Quiz Angle Measure

More information

Geometry 1-1. Non-collinear Points not on the same line. Need at least 3 points to be non-collinear since two points are always collinear

Geometry 1-1. Non-collinear Points not on the same line. Need at least 3 points to be non-collinear since two points are always collinear Name Geometry 1-1 Undefined terms terms which cannot be defined only described. Point, line, plane Point a location in space Line a series of points that extends indefinitely in opposite directions. It

More information

First Semester (August - December) Final Review

First Semester (August - December) Final Review Name: lass: ate: I: First Semester (ugust - ecember) Final Review Multiple hoice Identify the choice that best completes the statement or answers the question. 1. Name three points that are collinear.

More information

Skills Practice Skills Practice for Lesson 3.1

Skills Practice Skills Practice for Lesson 3.1 Skills Practice Skills Practice for Lesson.1 Name ate onstellations Naming, Measuring, and lassifying ngles Vocabulary Write the term from the box that best completes each statement. point line segment

More information

Geometry. Chapter 3. Congruent Triangles Ways of Proving Triangles Corresponding Parts of Δ s (CP Δ=) Theorems Based on Δ s

Geometry. Chapter 3. Congruent Triangles Ways of Proving Triangles Corresponding Parts of Δ s (CP Δ=) Theorems Based on Δ s Geometry hapter 3 ongruent Triangles Ways of Proving Triangles orresponding Parts of Δ s (P Δ=) Theorems ased on Δ s Geometry hapter 3 ongruent Triangles Navigation: lick on sheet number to find that sheet.

More information

A point is pictured by a dot. While a dot must have some size, the point it represents has no size. Points are named by capital letters..

A point is pictured by a dot. While a dot must have some size, the point it represents has no size. Points are named by capital letters.. Chapter 1 Points, Lines & Planes s we begin any new topic, we have to familiarize ourselves with the language and notation to be successful. My guess that you might already be pretty familiar with many

More information

Geometry Unit 4a - Notes Triangle Relationships

Geometry Unit 4a - Notes Triangle Relationships Geometry Unit 4a - Notes Triangle Relationships This unit is broken into two parts, 4a & 4b. test should be given following each part. Triangle - a figure formed by three segments joining three noncollinear

More information

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

Multiple Choice Identify the choice that best completes the statement or answers the question. Informal Geometry Midterm REVIEW ***O NOT WRITE ON THIS REVIEW*** Multiple hoice Identify the choice that best completes the statement or answers the question. 1. Evaluate the expression a b for a = 54

More information

Use the figure to name each of the following:

Use the figure to name each of the following: Name: Period Date Pre-AP Geometry Fall 2016 Semester Exam REVIEW *Chapter 1.1 Points Lines Planes Use the figure to name each of the following: 1) three non-collinear points 2) one line in three different

More information

1.1 Segment Length and Midpoints

1.1 Segment Length and Midpoints 1.1 Segment Length and Midpoints Essential Question: How do you draw a segment and measure its length? Explore Exploring asic Geometric Terms In geometry, some of the names of figures and other terms will

More information

Geometry ~ Chapter 1 Capacity Matrix

Geometry ~ Chapter 1 Capacity Matrix Geometry ~ Chapter 1 Capacity Matrix Learning Targets 1. Drawing and labeling the Geometry Vocabulary 2. Using the distance and midpoint formula 3. Classifying triangles and polygons Section Required Assignments

More information

4-2 Triangle Congruence Conditions. Congruent Triangles - C F. and

4-2 Triangle Congruence Conditions. Congruent Triangles - C F. and 4-2 Triangle ongruence onditions ongruent Triangles -,, ª is congruent to ª (ª ª) under a correspondence of parts if and only if 1) all three pairs of corresponding angles are congruent, and 2) all three

More information

Postulate 1-1-2: Through any three noncollinear points there is exactly one plane containing them.

Postulate 1-1-2: Through any three noncollinear points there is exactly one plane containing them. Unit Definitions Term Labeling Picture Undefined terms Point Dot, place in space Line Plane Series of points that extends in two directions forever Infinite surface with no thickness Defined Terms Collinear

More information

15. K is the midpoint of segment JL, JL = 4x - 2, and JK = 7. Find x, the length of KL, and JL. 8. two lines that do not intersect

15. K is the midpoint of segment JL, JL = 4x - 2, and JK = 7. Find x, the length of KL, and JL. 8. two lines that do not intersect Name: Period Date Pre-AP Geometry Fall Semester Exam REVIEW *Chapter 1.1 Points Lines Planes Use the figure to name each of the following: 1. three non-collinear points 2. one line in three different ways

More information

Geometry. Slide 1 / 190. Slide 2 / 190. Slide 3 / 190. Angles. Table of Contents

Geometry. Slide 1 / 190. Slide 2 / 190. Slide 3 / 190. Angles. Table of Contents Slide 1 / 190 Slide 2 / 190 Geometry ngles 2015-10-21 www.njctl.org Table of ontents click on the topic to go to that section Slide 3 / 190 ngles ongruent ngles ngles & ngle ddition Postulate Protractors

More information

Ch 1 Note Sheet L2 Key.doc 1.1 Building Blocks of Geometry

Ch 1 Note Sheet L2 Key.doc 1.1 Building Blocks of Geometry 1.1 uilding locks of Geometry Read page 28. It s all about vocabulary and notation! To name something, trace the figure as you say the name, if you trace the figure you were trying to describe you re correct!

More information

Geo Final Review 2014

Geo Final Review 2014 Period: ate: Geo Final Review 2014 Multiple hoice Identify the choice that best completes the statement or answers the question. 1. n angle measures 2 degrees more than 3 times its complement. Find the

More information

Warm-Up. Find the domain and range:

Warm-Up. Find the domain and range: Warm-Up Find the domain and range: Geometry Vocabulary & Notation Point Name: Use only the capital letter, without any symbol. Line Name: Use any two points on the line with a line symbol above. AB Line

More information

Geometry. Points, Lines, Planes & Angles. Part 2. Slide 1 / 185. Slide 2 / 185. Slide 3 / 185. Table of Contents

Geometry. Points, Lines, Planes & Angles. Part 2. Slide 1 / 185. Slide 2 / 185. Slide 3 / 185. Table of Contents Slide 1 / 185 Slide 2 / 185 Geometry Points, Lines, Planes & ngles Part 2 2014-09-20 www.njctl.org Part 1 Introduction to Geometry Table of ontents Points and Lines Planes ongruence, istance and Length

More information

Section 1-1 Points, Lines, and Planes

Section 1-1 Points, Lines, and Planes Section 1-1 Points, Lines, and Planes I CAN. Identify and model points, lines, and planes. Identify collinear and coplanar points and intersecting lines and planes in space. Undefined Term- Words, usually

More information

Geometry CP. Unit 1 Notes

Geometry CP. Unit 1 Notes Geometry CP Unit 1 Notes 1.1 The Building Blocks of Geometry The three most basic figures of geometry are: Points Shown as dots. No size. Named by capital letters. Are collinear if a single line can contain

More information

NORTH HAVEN HIGH SCHOOL. Applied Geometry (Level 1) Summer Assignment 2017

NORTH HAVEN HIGH SCHOOL. Applied Geometry (Level 1) Summer Assignment 2017 NORTH HAVEN HIGH SCHOOL 221 Elm Street North Haven, CT 06473 June 2017 Applied Geometry (Level 1) Summer Assignment 2017 Dear Parents, Guardians, and Students, The Geometry curriculum builds on geometry

More information

Honors Geometry Semester 1 Exam Review. Hour: CB and CA are opposite rays and CD and CA. Show all your work whenever possible.

Honors Geometry Semester 1 Exam Review. Hour: CB and CA are opposite rays and CD and CA. Show all your work whenever possible. Honors Geometry Semester 1 Exam Review Name: Hour: Show all your work whenever possible 1escribe what the notation RS stands for Illustrate with a sketch 8 Find the distance between the points (1, 4) and

More information

NAME DATE PER. GEOMETRY FALL SEMESTER REVIEW FIRST SIX WEEKS PART 1. A REVIEW OF ALGEBRA Find the correct answer for each of the following.

NAME DATE PER. GEOMETRY FALL SEMESTER REVIEW FIRST SIX WEEKS PART 1. A REVIEW OF ALGEBRA Find the correct answer for each of the following. NAME ATE PER. GEOMETRY FALL SEMESTER REVIEW FIRST SIX WEEKS PART 1. A REVIEW OF ALGEBRA Find the correct answer for each of the following. 1. m = Solve for m : m 7 = -13 + m FIRST SIX-WEEKS REVIEW 2. x

More information

Written by Pamela Jennett

Written by Pamela Jennett Geometry Written by Pamela Jennett Editor: Collene Dobelmann Illustrator: Carmela Murray Designer/Production: Moonhee Pak/Carmela Murray Cover Designer: arbara Peterson rt Director: Tom Cochrane Project

More information

1.6 Angles and Their Measures

1.6 Angles and Their Measures 1.6 ngles and Their Measures Goal Measure and classify angles. dd angle measures. VOULRY ngle, ides, Vertex n angle consists of two rays that have the same endpoint. The rays are the sides of the angle.

More information

Let s use a more formal definition. An angle is the union of two rays with a common end point.

Let s use a more formal definition. An angle is the union of two rays with a common end point. hapter 2 ngles What s the secret for doing well in geometry? Knowing all the angles. s we did in the last chapter, we will introduce new terms and new notations, the building blocks for our success. gain,

More information

Foundations for Geometry

Foundations for Geometry Foundations for Geometry 1A Euclidean and Construction Tools 1-1 Understanding Points, Lines, and Planes Lab Explore Properties Associated with Points 1-2 Measuring and Constructing Segments 1-3 Measuring

More information

GEOMETRY is the study of points in space

GEOMETRY is the study of points in space CHAPTER 5 Logic and Geometry SECTION 5-1 Elements of Geometry GEOMETRY is the study of points in space POINT indicates a specific location and is represented by a dot and a letter R S T LINE is a set of

More information

Beginning Proofs Task Cards

Beginning Proofs Task Cards eginning Proofs Task ards NSWR KY. Given: and are complementary; m = 74 Prove: m = 6. and are complementary. Given. m + m = 90. efinition of omplementary ngles. m = 74. Given 4. m + 74 = 90 4. Substitution

More information

Ě PHDVXUH RI DQ DQJOH p. 17. Ě VLGHV RI DQ DQJOH p. 16 Ě FRQJUXHQW VHJPHQWV p. 10. Ě PLGSRLQW p. 11

Ě PHDVXUH RI DQ DQJOH p. 17. Ě VLGHV RI DQ DQJOH p. 16 Ě FRQJUXHQW VHJPHQWV p. 10. Ě PLGSRLQW p. 11 Topic 1 eview TOPI VOULY Ě FXWH ULJKW WXVH VWULJKW JOHV p. 17 Ě FJUXHW JOHV p. 16 Ě PHVXUH I JOH p. 17 Ě VLGHV I JOH p. 16 Ě FJUXHW VHJPHWV p. 10 Ě PLGSLW p. 11 Ě VSFH p. 4 Ě GMFHW JOHV p. 22 Ě FVWUXFWL

More information

PLANE GEOMETRY SKILL BUILDER ELEVEN

PLANE GEOMETRY SKILL BUILDER ELEVEN PLANE GEOMETRY SKILL BUILDER ELEVEN Lines, Segments, and Rays The following examples should help you distinguish between lines, segments, and rays. The three undefined terms in geometry are point, line,

More information

Mr. Northcutt's Math Classes Class Presentation

Mr. Northcutt's Math Classes Class Presentation Mr. Northcutt's Math Classes Class Presentation September 11, 2009 (8) Transition Math Math 1 Math 2 1 Transition Math Daily Summary Announcements QUIZ: Section 1-1 thru 1-3 on Wednesday Topic: Evaluating

More information

Foundations for Geometry

Foundations for Geometry Foundations for Geometry 1A Euclidean and Construction Tools 1-1 Understanding Points, Lines, and Planes Lab Explore Properties Associated with Points 1-2 Measuring and Constructing Segments 1-3 Measuring

More information

Foundations for Geometry

Foundations for Geometry Foundations for Geometry 1A Euclidean and Construction Tools 1-1 Understanding Points, Lines, and Planes Lab Explore Properties Associated with Points 1-2 Measuring and Constructing Segments 1-3 Measuring

More information

Section 1.1 Notes. Points - have no size or dimension and named using capital letters A

Section 1.1 Notes. Points - have no size or dimension and named using capital letters A Section 1.1 Notes Building Blocks of Geometry Undefined Terms: Points - have no size or dimension and named using capital letters A Lines - have no thickness (1D) and extend forever. Named using 2 points

More information

To use and apply properties of isosceles and equilateral triangles

To use and apply properties of isosceles and equilateral triangles - Isosceles and Equilateral riangles ontent Standards G.O. Prove theorems about triangles... base angles of isosceles triangles are congruent... lso G.O., G.SR. Objective o use and apply properties of

More information

Ready to Go On? Skills Intervention 1-1 Understanding Points, Lines, and Planes

Ready to Go On? Skills Intervention 1-1 Understanding Points, Lines, and Planes 1 Read to Go On? Skills Intervention 1-1 Understanding Points, Lines, and Planes Find these vocabular words in Lesson 1-1 and the Multilingual Glossar. Vocabular point line plane collinear coplanar segment

More information

- DF is a perpendicular bisector of AB in ABC D

- DF is a perpendicular bisector of AB in ABC D Geometry 5-1 isectors, Medians, and ltitudes. Special Segments 1. Perpendicular -the perpendicular bisector does what it sounds like, it is perpendicular to a segment and it bisects the segment. - DF is

More information

Geometry Short Cycle 1 Exam Review

Geometry Short Cycle 1 Exam Review Name: lass: ate: I: Geometry Short ycle 1 Exam Review Multiple hoice Identify the choice that best completes the statement or answers the question. 1. Name a plane that contains. a. plane R c. plane WRT

More information

*Chapter 1.1 Points Lines Planes. Use the figure to name each of the following:

*Chapter 1.1 Points Lines Planes. Use the figure to name each of the following: Name: Period Date Pre- AP Geometry Fall 2015 Semester Exam REVIEW *Chapter 1.1 Points Lines Planes Use the figure to name each of the following: 1) three non-collinear points 2) one line in three different

More information

Parallel Lines and Triangles. Objectives To use parallel lines to prove a theorem about triangles To find measures of angles of triangles

Parallel Lines and Triangles. Objectives To use parallel lines to prove a theorem about triangles To find measures of angles of triangles -5 Parallel Lines and Triangles ommon ore State Standards G-O..0 Prove theorems about triangles... measures of interior angles of a triangle sum to 80. MP, MP, MP 6 Objectives To use parallel lines to

More information

Objectives: (What You ll Learn) Identify and model points, lines, planes Identify collinear and coplanar points, intersecting lines and planes

Objectives: (What You ll Learn) Identify and model points, lines, planes Identify collinear and coplanar points, intersecting lines and planes Geometry Chapter 1 Outline: Points, Lines, Planes, & Angles A. 1-1 Points, Lines, and Planes (What You ll Learn) Identify and model points, lines, planes Identify collinear and coplanar points, intersecting

More information

Let s Get This Started!

Let s Get This Started! Lesson. Skills Practice Name Date Let s Get This Started! Points, Lines, Planes, Rays, and Line Segments Vocabulary Write the term that best completes each statement.. A geometric figure created without

More information

Chapter 1. Essentials of Geometry

Chapter 1. Essentials of Geometry Chapter 1 Essentials of Geometry 1.1 Identify Points, Lines, and Planes Objective: Name and sketch geometric figures so you can use geometry terms in the real world. Essential Question: How do you name

More information

Geometry/Trig 2 Unit 4 Review Packet page 1 Part 1 Polygons Review

Geometry/Trig 2 Unit 4 Review Packet page 1 Part 1 Polygons Review Unit 4 Review Packet page 1 Part 1 Polygons Review ate: 1) nswer the following questions about a regular decagon. a) How many sides does the polygon have? 10 b) What is the sum of the measures of the interior

More information

CCGPS UNIT 1A Semester 1 ANALYTIC GEOMETRY Page 1 of 35. Similarity Congruence and Proofs Name:

CCGPS UNIT 1A Semester 1 ANALYTIC GEOMETRY Page 1 of 35. Similarity Congruence and Proofs Name: GPS UNIT 1 Semester 1 NLYTI GEOMETRY Page 1 of 35 Similarity ongruence and Proofs Name: Date: Understand similarity in terms of similarity transformations M9-12.G.SRT.1 Verify experimentally the properties

More information

B. Section 1.1. Chapter 1 Review Booklet A. Vocabulary Match the vocabulary term with its definition. 3. A pair of opposite rays on line p.

B. Section 1.1. Chapter 1 Review Booklet A. Vocabulary Match the vocabulary term with its definition. 3. A pair of opposite rays on line p. A. Vocabulary Match the vocabulary term with its definition. Point Polygon Angle Sides Postulate Collinear Opposite Rays Vertical angles Coplanar Linear Pair Complementary Vertex Line Adjacent Plane Distance

More information

Lesson 2.1 8/5/2014. Perpendicular Lines, Rays and Segments. Let s Draw some examples of perpendicularity. What is the symbol for perpendicular?

Lesson 2.1 8/5/2014. Perpendicular Lines, Rays and Segments. Let s Draw some examples of perpendicularity. What is the symbol for perpendicular? 8/5/04 Lesson. Perpendicularity From now on, when you write a two-column proof, try to state each reason in a single sentence or less. bjective: Recognize the need for clarity and concision in proofs and

More information

Chapter 2: Introduction to Proof. Assumptions from Diagrams

Chapter 2: Introduction to Proof. Assumptions from Diagrams Chapter 2: Introduction to Proof Name: 2.6 Beginning Proofs Objectives: Prove a conjecture through the use of a two-column proof Structure statements and reasons to form a logical argument Interpret geometric

More information

Geometry Notes - Unit 4 Congruence

Geometry Notes - Unit 4 Congruence Geometry Notes - Unit 4 ongruence Triangle is a figure formed by three noncollinear points. lassification of Triangles by Sides Equilateral triangle is a triangle with three congruent sides. Isosceles

More information

You try: What is the definition of an angle bisector? You try: You try: is the bisector of ABC. BD is the bisector of ABC. = /4.MD.

You try: What is the definition of an angle bisector? You try: You try: is the bisector of ABC. BD is the bisector of ABC. = /4.MD. US Geometry 1 What is the definition of a midpoint? midpoint of a line segment is the point that bisects the line segment. That is, M is the midpoint of if M M. 1 What is the definition of an angle bisector?

More information

Summer Dear Geometry Students and Parents:

Summer Dear Geometry Students and Parents: Summer 2018 Dear Geometry Students and Parents: Welcome to Geometry! For the 2018-2019 school year, we would like to focus your attention to the prerequisite skills and concepts for Geometry. In order

More information

Properties of Rhombuses, Rectangles, and Squares

Properties of Rhombuses, Rectangles, and Squares 6- Properties of Rhombuses, Rectangles, and Squares ontent Standards G.O. Prove theorems about parallelograms... rectangles are parallelograms with congruent diagonals. lso G.SRT.5 Objectives To define

More information

Essential Question How can you prove that a quadrilateral is a parallelogram? Work with a partner. Use dynamic geometry software.

Essential Question How can you prove that a quadrilateral is a parallelogram? Work with a partner. Use dynamic geometry software. OMMON OR Learning Standards HSG-O..11 HSG-SRT..5 HSG-MG..1 RSONING STRTLY 7.3 To be proficient in math, you need to know and flexibly use different properties of objects. Proving That a Quadrilateral Is

More information

Geometry Review. IM3 Ms. Peralta

Geometry Review. IM3 Ms. Peralta Geometry Review IM3 Ms. Peralta Ray: is a part of a line that consists of an endpoint, and all points on one side of the endpoint. P A PA Opposite Rays: are two rays of the same line with a common endpoint

More information

Line: It s a straight arrangement of points that extends indefinitely in opposite directions.

Line: It s a straight arrangement of points that extends indefinitely in opposite directions. More Terminology and Notation: Plane: It s an infinitely large flat surface. Line: It s a straight arrangement of points that extends indefinitely in opposite directions. ollinear Points: Points that lie

More information

Tools of Geometry 1. X + 9 = 24 2. 25 X = 15 3. X + 3 = -2X -10 4. 3X + 4Y = 2 Place in slope intercept form. 5. Y = ½ X 2 What is the slope? What is the Y- Intercept? Inductive Reasoning is reasoning

More information