Angle Geometry. Lesson 18

Size: px
Start display at page:

Download "Angle Geometry. Lesson 18"

Transcription

1 Angle Geometry Lesson 18

2 Lesson Eighteen Concepts Specific Expectations Determine, through investigation using a variety of tools, and describe the properties and relationships of the interior and exterior angles of triangles, quadrilaterals, and other polygons, and apply the results to problems involving the angles of polygons; Determine, through investigation using a variety of tools, and describe the properties and relationships of the angles formed by parallel lines cut by a transversal, and apply the results to problems involving parallel lines. Angle Geometry Angle Properties Acute Angle is an angle that is more than 0 and less than 90. Obtuse Angle is an angle greater than 90 and less than 180. Right Angle is an angle that is 90. Straight Angle is an angle that is 180. Complementary Angles are angles that add to 90. Copyright 2005, Durham Continuing Education Page 29 of 62

3 Supplementary Angles are angles that add to 180. Angles on a line add to 180. Angles at a point add to 360. Vertically opposite angles are equal. X X Example a) 1 31 Copyright 2005, Durham Continuing Education Page 30 of 62

4 b) c) 2 = = d) C A D B E F EDF = CDB = ADC = Solution a) = = _59 Reason Complementary Angles Copyright 2005, Durham Continuing Education Page 31 of 62

5 b) = 44 2 = _44 Reason Supplementary Angles c) 2 s are the same so 108 x 2 = = = 144 Reason Angles at a point add to 360 d) C A E D F B Sometimes the angle is labeled with letters. The end points of the angle are the first and last letters and the middle letter represents the vertex of the angle. EDF = _82 _ Reason Angles on a line add to 180 CDB = _129 Reason Supplementary Angles Vertically opposite BDF. ADC = _51 _ Reason Vertically Opposite Angles Copyright 2005, Durham Continuing Education Page 32 of 62

6 Support Questions = 3 = 2. C F A E 52 B D AEC = AED = DEB = CEF = Copyright 2005, Durham Continuing Education Page 33 of 62

7 Support Questions = Parallel Lines and Transversal Parallel lines are lines in the same plane that do not intersect. A Transversal is a line crossing two or more lines. Corresponding Angles This is the transversal. If two parallel lines are cut by a transversal, then each pair of corresponding angles are congruent. 1 and 5, 2 and 6, 3 and 7, 4 and 8 Means the angles are the same degrees. Copyright 2005, Durham Continuing Education Page 34 of 62

8 Alternate Interior Angles If two parallel lines are cut by a transversal, then each pair of alternate interior angles are congruent. 3 and 6, 4 and 5 Same-Side Interior Angles If two parallel lines are cut by a transversal, then each pair of consecutive interior angles are supplementary. 3 and 5, 4 and 6 Alternate Exterior Angle If two parallel lines are cut by a transversal, then each pair of alternate exterior angles are congruent. 1 and 8, 2 and 7 Copyright 2005, Durham Continuing Education Page 35 of 62

9 Example a) = = = = b) = = = Copyright 2005, Durham Continuing Education Page 36 of 62

10 Solution a) and = 122 _ Reason Vertically Opposite = 122 _ Reason Alternate Interior Angles 3 = 58 _ Reason Supplementary Angles 4 = 58 _ Reason Alternate Exterior Angle or Supplementary Angle or Vertically Opposite Supplementary to 3. Vertically opposite to 2. b) and 83 add to = 97 Reason Consecutive Interior Angle 5 and 6 add to = _83 _ Reason Supplementary Angles or Corresponding Angles = _83 _ Reason Corresponding Angles 6 and 83 correspond. 6 and 7 correspond. Copyright 2005, Durham Continuing Education Page 37 of 62

11 Support Questions = 3 = = 5 = 6 = Copyright 2005, Durham Continuing Education Page 38 of 62

12 Key Question #18 (Do not write in this booklet). 1. (2 marks) (2 marks) = (10 marks) 2 = 3 = 4 = 5 = Copyright 2005, Durham Continuing Education Page 39 of 62

13 Key Question #18 4. (2 marks) (2 marks) H I J K F G JKG = Copyright 2005, Durham Continuing Education Page 40 of 62

If lines m and n are parallel, we write. Transversal: A line that INTERSECTS two or more lines at 2

If lines m and n are parallel, we write. Transversal: A line that INTERSECTS two or more lines at 2 Unit 4 Lesson 1: Parallel Lines and Transversals Name: COMPLEMENTARY are angles to add up to 90 SUPPLEMENTARY are angles to add up to 180 These angles are also known as a LINEAR PAIR because they form

More information

Unit III: SECTION #1 - Angles & Lines

Unit III: SECTION #1 - Angles & Lines 1/16 Name Period An angle is made up of two rays that meet at a point called the vertex. Kinds of Angles 1) Acute Angle the angle s measure is between 0ᵒ and 90ᵒ 2) Right Angle the angle s measure is 90ᵒ

More information

Introduction to Geometry

Introduction to Geometry Introduction to Geometry Objective A: Problems involving lines and angles Three basic concepts of Geometry are: Points are a single place represented by a dot A Lines are a collection of points that continue

More information

Parallel Lines: Two lines in the same plane are parallel if they do not intersect or are the same.

Parallel Lines: Two lines in the same plane are parallel if they do not intersect or are the same. Section 2.3: Lines and Angles Plane: infinitely large flat surface Line: extends infinitely in two directions Collinear Points: points that lie on the same line. Parallel Lines: Two lines in the same plane

More information

Parallel Lines cut by a Transversal Notes, Page 1

Parallel Lines cut by a Transversal Notes, Page 1 Angle Relationships Review 2 When two lines intersect, they form four angles with one point in 1 3 common. 4 Angles that are opposite one another are VERTIAL ANGLES. Some people say instead that VERTIAL

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

Warm up Exercise. 1. Find the missing angle measure in the figures below: Lesson 54 Angle Relationships & Lesson 55 Nets.notebook.

Warm up Exercise. 1. Find the missing angle measure in the figures below: Lesson 54 Angle Relationships & Lesson 55 Nets.notebook. Warm up Exercise 1. Find the missing angle measure in the figures below: 45 o 29 o 30 o a d 49 o b c 1 Lesson 54: Angle Relationships Intersecting lines form pairs of adjacent angles and pairs of opposite

More information

a triangle with all acute angles acute triangle angles that share a common side and vertex adjacent angles alternate exterior angles

a triangle with all acute angles acute triangle angles that share a common side and vertex adjacent angles alternate exterior angles acute triangle a triangle with all acute angles adjacent angles angles that share a common side and vertex alternate exterior angles two non-adjacent exterior angles on opposite sides of the transversal;

More information

Geometry Tutor Worksheet 4 Intersecting Lines

Geometry Tutor Worksheet 4 Intersecting Lines Geometry Tutor Worksheet 4 Intersecting Lines 1 Geometry Tutor - Worksheet 4 Intersecting Lines 1. What is the measure of the angle that is formed when two perpendicular lines intersect? 2. What is the

More information

GEOMETRY R Unit 2: Angles and Parallel Lines

GEOMETRY R Unit 2: Angles and Parallel Lines GEOMETRY R Unit 2: Angles and Parallel Lines Day Classwork Homework Friday 9/15 Unit 1 Test Monday 9/18 Tuesday 9/19 Angle Relationships HW 2.1 Angle Relationships with Transversals HW 2.2 Wednesday 9/20

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

When two (or more) parallel lines are cut by a transversal, the following angle relationships are true:

When two (or more) parallel lines are cut by a transversal, the following angle relationships are true: Lesson 8: Parallel Lines Two coplanar lines are said to be parallel if they never intersect. or any given point on the first line, its distance to the second line is equal to the distance between any other

More information

Section 9.1. Points, Lines, Planes, and Angles. Copyright 2013, 2010, 2007, Pearson, Education, Inc.

Section 9.1. Points, Lines, Planes, and Angles. Copyright 2013, 2010, 2007, Pearson, Education, Inc. Section 9.1 Points, Lines, Planes, and Angles What You Will Learn Points Lines Planes Angles 9.1-2 Basic Terms A point, line, and plane are three basic terms in geometry that are NOT given a formal definition,

More information

Copyright 2009 Pearson Education, Inc. Chapter 9 Section 1 Slide 1 AND

Copyright 2009 Pearson Education, Inc. Chapter 9 Section 1 Slide 1 AND Copyright 2009 Pearson Education, Inc. Chapter 9 Section 1 Slide 1 AND Chapter 9 Geometry Copyright 2009 Pearson Education, Inc. Chapter 9 Section 1 Slide 2 WHAT YOU WILL LEARN Points, lines, planes, and

More information

What could be the name of the plane represented by the top of the box?

What could be the name of the plane represented by the top of the box? hapter 02 Test Name: ate: 1 Use the figure below. What could be the name of the plane represented by the top of the box? E F I 2 Use the figure below. re points,, and E collinear or noncollinear? noncollinear

More information

Lesson 4-1: Angles Notation and Types of Angles

Lesson 4-1: Angles Notation and Types of Angles Name: Date: Lesson 4-1: Angles Notation and Types of Angles Learning Goals: 1. What are a right angle, acute angle, and obtuse angle? 2. How do I name an angle? 3. How can we use special angle pair definitions

More information

GEOMETRY Angles and Lines NAME Transversals DATE Per.

GEOMETRY Angles and Lines NAME Transversals DATE Per. GEOMETRY Angles and Lines NAME t l p 1 2 3 4 5 6 7 8 1. a) Which are the angles that are on the same side but opposite and interior to each exterior angle? 1 7 b) What letter do they appear to form? 2.

More information

What is an angle? The space between two intersecting lines.

What is an angle? The space between two intersecting lines. Name: Date: Lesson 4-1: Angles Notation and Types of Angles Learning Goals: 1. What are a right angle, acute angle, and obtuse angle? 2. How do I name an angle? 3. How can we use special angle pair definitions

More information

ACT Math and Science - Problem Drill 11: Plane Geometry

ACT Math and Science - Problem Drill 11: Plane Geometry ACT Math and Science - Problem Drill 11: Plane Geometry No. 1 of 10 1. Which geometric object has no dimensions, no length, width or thickness? (A) Angle (B) Line (C) Plane (D) Point (E) Polygon An angle

More information

Unit 3 Geometry. Chapter 7 Geometric Relationships Chapter 8 Measurement Relationships Chapter 9 Optimizing Measurements MPM1D

Unit 3 Geometry. Chapter 7 Geometric Relationships Chapter 8 Measurement Relationships Chapter 9 Optimizing Measurements MPM1D Unit 3 Geometry Chapter 7 Geometric Relationships Chapter 8 Measurement Relationships Chapter 9 Optimizing Measurements MPM1D Chapter 7 Outline Section Subject Homework Notes Lesson and Homework Complete

More information

In this chapter, you will learn:

In this chapter, you will learn: In this chapter, you will learn: > Find the measurements of missing angles made by a line that intersects parallel lines. > Find unknown angles inside and outside of triangles. > Determine if two triangles

More information

Geometry Ch 7 Quadrilaterals January 06, 2016

Geometry Ch 7 Quadrilaterals January 06, 2016 Theorem 17: Equal corresponding angles mean that lines are parallel. Corollary 1: Equal alternate interior angles mean that lines are parallel. Corollary 2: Supplementary interior angles on the same side

More information

Geometry Definitions, Postulates, and Theorems. Chapter 3: Parallel and Perpendicular Lines. Section 3.1: Identify Pairs of Lines and Angles.

Geometry Definitions, Postulates, and Theorems. Chapter 3: Parallel and Perpendicular Lines. Section 3.1: Identify Pairs of Lines and Angles. Geometry Definitions, Postulates, and Theorems Chapter : Parallel and Perpendicular Lines Section.1: Identify Pairs of Lines and Angles Standards: Prepare for 7.0 Students prove and use theorems involving

More information

Unit 8 Chapter 3 Properties of Angles and Triangles

Unit 8 Chapter 3 Properties of Angles and Triangles Unit 8 Chapter 3 Properties of Angles and Triangles May 16 7:01 PM Types of lines 1) Parallel Lines lines that do not (and will not) cross each other are labeled using matching arrowheads are always the

More information

Math 3315: Geometry Vocabulary Review Human Dictionary: WORD BANK

Math 3315: Geometry Vocabulary Review Human Dictionary: WORD BANK Math 3315: Geometry Vocabulary Review Human Dictionary: WORD BANK [acute angle] [acute triangle] [adjacent interior angle] [alternate exterior angles] [alternate interior angles] [altitude] [angle] [angle_addition_postulate]

More information

Lesson 13: Angle Sum of a Triangle

Lesson 13: Angle Sum of a Triangle Student Outcomes Students know the Angle Sum Theorem for triangles; the sum of the interior angles of a triangle is always 180. Students present informal arguments to draw conclusions about the angle sum

More information

GEOMETRY POSTULATES AND THEOREMS. Postulate 1: Through any two points, there is exactly one line.

GEOMETRY POSTULATES AND THEOREMS. Postulate 1: Through any two points, there is exactly one line. GEOMETRY POSTULATES AND THEOREMS Postulate 1: Through any two points, there is exactly one line. Postulate 2: The measure of any line segment is a unique positive number. The measure (or length) of AB

More information

Lines Plane A flat surface that has no thickness and extends forever.

Lines Plane A flat surface that has no thickness and extends forever. Lines Plane A flat surface that has no thickness and extends forever. Point an exact location Line a straight path that has no thickness and extends forever in opposite directions Ray Part of a line that

More information

Unit 10 Study Guide: Plane Figures

Unit 10 Study Guide: Plane Figures Unit 10 Study Guide: Plane Figures *Be sure to watch all videos within each lesson* You can find geometric shapes in art. Whether determining the amount of leading or the amount of glass needed for a piece

More information

Polygons - Part 1. Triangles

Polygons - Part 1. Triangles Polygons - Part 1 Triangles Introduction Complementary Angles: are two angles that add up to 90 Example: degrees A ADB = 65 degrees Therefore B + ADB BDC 65 deg 25 deg D BDC = 25 degrees C 90 Degrees Introduction

More information

1/25 Warm Up Find the value of the indicated measure

1/25 Warm Up Find the value of the indicated measure 1/25 Warm Up Find the value of the indicated measure. 1. 2. 3. 4. Lesson 7.1(2 Days) Angles of Polygons Essential Question: What is the sum of the measures of the interior angles of a polygon? What you

More information

Chapter 9: Surface Area and Volume CHAPTER 9: ANGLES AND PYTHAGOREAN THEOREM. Date: Lesson: Learning Log Title:

Chapter 9: Surface Area and Volume CHAPTER 9: ANGLES AND PYTHAGOREAN THEOREM. Date: Lesson: Learning Log Title: CHAPTER 9: ANGLES AND PYTHAGOREAN THEOREM Date: Lesson: Learning Log Title: Date: Lesson: Learning Log Title: Date: Lesson: Learning Log Title: Date: Lesson: Learning Log Title: MATH NOTES ANGLE VOCABULARY

More information

Unit 2A: Angle Pairs and Transversal Notes

Unit 2A: Angle Pairs and Transversal Notes Unit 2A: Angle Pairs and Transversal Notes Day 1: Special angle pairs Day 2: Angle pairs formed by transversal through two nonparallel lines Day 3: Angle pairs formed by transversal through parallel lines

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

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

Lesson 7.1. Angles of Polygons

Lesson 7.1. Angles of Polygons Lesson 7.1 Angles of Polygons Essential Question: How can I find the sum of the measures of the interior angles of a polygon? Polygon A plane figure made of three or more segments (sides). Each side intersects

More information

1. Identify the different parts of a triangle 2. Classify triangles by their angle measures 3. Classify triangles by their side lengths

1. Identify the different parts of a triangle 2. Classify triangles by their angle measures 3. Classify triangles by their side lengths Lesson 8 Lesson 8, page 1 of 6 Glencoe Geometry Chapter 4.1, 4.2 Classifying Triangles & Angle Measure By the end of this lesson, you should be able to 1. Identify the different parts of a triangle 2.

More information

Triangle Geometry Isometric Triangles Lesson 1

Triangle Geometry Isometric Triangles Lesson 1 Triangle eometry Isometric Triangles Lesson 1 Review of all the TORMS in OMTRY that you know or soon will know!. Triangles 1. The sum of the measures of the interior angles of a triangle is 180º (Triangle

More information

Points, lines, angles

Points, lines, angles Points, lines, angles Point Line Line segment Parallel Lines Perpendicular lines Vertex Angle Full Turn An exact location. A point does not have any parts. A straight length that extends infinitely in

More information

Finding Measures of Angles Formed by Transversals Intersecting Parallel Lines

Finding Measures of Angles Formed by Transversals Intersecting Parallel Lines Lesson 22 Finding Measures of Angles Formed by Transversals Intersecting Parallel Lines 8.G.5 1 Getting the idea The figure below shows two parallel lines, j and k. The parallel lines,, are intersected

More information

CCM Unit 10 Angle Relationships

CCM Unit 10 Angle Relationships CCM6+7+ Unit 10 Angle Relationships ~ Page 1 CCM6+7+ 2015-16 Unit 10 Angle Relationships Name Teacher Projected Test Date Main Concepts Page(s) Unit 10 Vocabulary 2-6 Measuring Angles with Protractors

More information

Chapter Review. In the figure shown, m n and r is a transversal. If m 4 = 112, find the measure of each angle. Explain your reasoning.

Chapter Review. In the figure shown, m n and r is a transversal. If m 4 = 112, find the measure of each angle. Explain your reasoning. In the figure shown, m n and r is a transversal. If m 4 = 112, find the measure of each angle. Explain your reasoning. 1. 6 Since 4 and 6 are alternate interior angles, they are congruent. So, m 6 = 112.

More information

Chapter 8. Properties of Triangles and Quadrilaterals. 02/2017 LSowatsky

Chapter 8. Properties of Triangles and Quadrilaterals. 02/2017 LSowatsky Chapter 8 Properties of Triangles and Quadrilaterals 02/2017 LSowatsky 1 8-1A: Points, Lines, and Planes I can Identify and label basic geometric figures. LSowatsky 2 Vocabulary: Point: a point has no

More information

Example 1. Find the angle measure of angle b, using opposite angles.

Example 1. Find the angle measure of angle b, using opposite angles. 2..1 Exploring Parallel Lines Vertically opposite angles are equal When two lines intersect, the opposite angles are equal. Supplementary angles add to 180 Two (or more) adjacent angles on the same side

More information

An angle that has a measure less than a right angle.

An angle that has a measure less than a right angle. Unit 1 Study Strategies: Two-Dimensional Figures Lesson Vocab Word Definition Example Formed by two rays or line segments that have the same 1 Angle endpoint. The shared endpoint is called the vertex.

More information

GEOMETRY. TI-Nspire Help and Hints. 1 Open a Graphs and Geometry page. (Press c 2 ).

GEOMETRY. TI-Nspire Help and Hints. 1 Open a Graphs and Geometry page. (Press c 2 ). GEOMETRY TI-Nspire Help and Hints 1 Open a Graphs and Geometry page. (Press c 2 ). 2 You may need to save a current document you have been working on. Save or press e to move the cursor to No and press.

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

Agenda * Sign up for Quizlet Class * Parallel Lines & Transversals Notes

Agenda * Sign up for Quizlet Class * Parallel Lines & Transversals Notes Agenda * Sign up for Quizlet Class * Parallel Lines & Transversals Notes Objective: Students analyze parallel lines cut by a transversal and the angle relationships that are formed 1) Scan QR Code 2) Login

More information

Reporting Category 3. Geometry and Measurement BINGO

Reporting Category 3. Geometry and Measurement BINGO Reporting Category 3 Geometry and Measurement BINGO names an exact location in space, named by a capital letter Has NO width, length, or depth. 2 a straight path with 2 endpoints, has a definite beginning

More information

Naming Angles. One complete rotation measures 360º. Half a rotation would then measure 180º. A quarter rotation would measure 90º.

Naming Angles. One complete rotation measures 360º. Half a rotation would then measure 180º. A quarter rotation would measure 90º. Naming Angles What s the secret for doing well in geometry? Knowing all the angles. An angle can be seen as a rotation of a line about a fixed point. In other words, if I were mark a point on a paper,

More information

pine cone Ratio = 13:8 or 8:5

pine cone Ratio = 13:8 or 8:5 Chapter 10: Introducing Geometry 10.1 Basic Ideas of Geometry Geometry is everywhere o Road signs o Carpentry o Architecture o Interior design o Advertising o Art o Science Understanding and appreciating

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

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

3-1 Study Guide Parallel Lines and Transversals

3-1 Study Guide Parallel Lines and Transversals 3-1 Study Guide Parallel Lines and Transversals Relationships Between Lines and Planes When two lines lie in the same plane and do not intersect, they are parallel. Lines that do not intersect and are

More information

Identify parallel lines, skew lines and perpendicular lines.

Identify parallel lines, skew lines and perpendicular lines. Learning Objectives Identify parallel lines, skew lines and perpendicular lines. Parallel Lines and Planes Parallel lines are coplanar (they lie in the same plane) and never intersect. Below is an example

More information

Lesson 3.6 Overlapping Triangles

Lesson 3.6 Overlapping Triangles Lesson 3.6 Overlapping Triangles Getting Ready: Each division in the given triangle is 1 unit long. Hence, the side of the largest triangle is 4- unit long. Figure 3.6.1. Something to think about How many

More information

Geometry Unit 6 Properties of Quadrilaterals Classifying Polygons Review

Geometry Unit 6 Properties of Quadrilaterals Classifying Polygons Review Geometry Unit 6 Properties of Quadrilaterals Classifying Polygons Review Polygon a closed plane figure with at least 3 sides that are segments -the sides do not intersect except at the vertices N-gon -

More information

Geometry Review for Test 3 January 13, 2016

Geometry Review for Test 3 January 13, 2016 Homework #7 Due Thursday, 14 January Ch 7 Review, pp. 292 295 #1 53 Test #3 Thurs, 14 Jan Emphasis on Ch 7 except Midsegment Theorem, plus review Betweenness of Rays Theorem Whole is Greater than Part

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

September 27, 2017 EO1 Opp #2 Thu, Sep 21st EO1 Opp #2 is in IC and grades adjusted. Come to ASP to see test and review grades. I'm in D213 for ASP.

September 27, 2017 EO1 Opp #2 Thu, Sep 21st EO1 Opp #2 is in IC and grades adjusted. Come to ASP to see test and review grades. I'm in D213 for ASP. EO1 Opp #2 Thu, Sep 21st EO1 Opp #2 is in IC and grades adjusted. Come to ASP to see test and review grades. I'm in D213 for ASP. EO2 Opp #1 M/T, Sep 25 26 ML Hand back Friday, Sep 29th Make up tests need

More information

Review Interior Angle Sum New: Exterior Angle Sum

Review Interior Angle Sum New: Exterior Angle Sum Review Interior Angle Sum New: Exterior Angle Sum QUIZ: Prove that the diagonal connecting the vertex angles of a kite cut the kite into two congruent triangles. 1 Interior Angle Sum Formula: Some Problems

More information

Unit 3 Notes: Parallel Lines, Perpendicular Lines, and Angles 3-1 Transversal

Unit 3 Notes: Parallel Lines, Perpendicular Lines, and Angles 3-1 Transversal Unit 3 Notes: Parallel Lines, Perpendicular Lines, and Angles 3-1 Transversal REVIEW: *Postulates are Fundamentals of Geometry (Basic Rules) To mark line segments as congruent draw the same amount of tic

More information

Chapter 3 Final Review

Chapter 3 Final Review Class: Date: Chapter 3 Final Review Multiple Choice Identify the choice that best completes the statement or answers the question. Find the sum of the interior angle measures of the polygon. 1. a. 360

More information

November 10, 2004 : Fax:

November 10, 2004 : Fax: Honors Geometry Issue Super Mathter November 0, 004 : 30-0-6030 Fax: 30--864 For class info, visit www.mathenglish.com irect your questions and comments to rli@smart4micro.com Name: Peter Lin Peter Lin

More information

2 and 6 4 and 8 1 and 5 3 and 7

2 and 6 4 and 8 1 and 5 3 and 7 Geo Ch 3 Angles formed by Lines Parallel lines are two coplanar lines that do not intersect. Skew lines are that are not coplanar and do not intersect. Transversal is a line that two or more lines at different

More information

Pre-Algebra Chapter 3. Angles and Triangles

Pre-Algebra Chapter 3. Angles and Triangles Pre-Algebra Chapter 3 Angles and Triangles We will be doing this Chapter using a flipped classroom model. At home, you will be required to watch a video to complete your notes. In class the next day, we

More information

Name Period Date. Adjacent angles have a common vertex and a common side, but no common interior points. Example 2: < 1 and < 2, < 1 and < 4

Name Period Date. Adjacent angles have a common vertex and a common side, but no common interior points. Example 2: < 1 and < 2, < 1 and < 4 Reteaching 7-1 Pairs of Angles Vertical angles are pairs of opposite angles formed by two intersecting lines. They are congruent. Example 1: < 1 and < 3, < 4 and < 2 Adjacent angles have a common vertex

More information

Are You Ready? Triangle Sum Theorem

Are You Ready? Triangle Sum Theorem SKILL 30 Triangle Sum Theorem Teaching Skill 30 Objective Use the Triangle Sum Theorem to find the measures of missing angles. Have students read the Triangle Sum Theorem. Point out that the theorem is

More information

Complementary, Supplementary, & Vertical Angles

Complementary, Supplementary, & Vertical Angles Unit 4: Lesson 1: Complementary and Supplementary Angles Date: Complementary, Supplementary, & Vertical Angles Type of Angles Definition/Description Complementary Angles Diagram Supplementary Angles Vertical

More information

Contents. Lines, angles and polygons: Parallel lines and angles. Triangles. Quadrilaterals. Angles in polygons. Congruence.

Contents. Lines, angles and polygons: Parallel lines and angles. Triangles. Quadrilaterals. Angles in polygons. Congruence. Colegio Herma. Maths Bilingual Departament Isabel Martos Martínez. 2015 Contents Lines, angles and polygons: Parallel lines and angles Triangles Quadrilaterals Angles in polygons Congruence Similarity

More information

Convex polygon - a polygon such that no line containing a side of the polygon will contain a point in the interior of the polygon.

Convex polygon - a polygon such that no line containing a side of the polygon will contain a point in the interior of the polygon. Chapter 7 Polygons A polygon can be described by two conditions: 1. No two segments with a common endpoint are collinear. 2. Each segment intersects exactly two other segments, but only on the endpoints.

More information

Elementary Planar Geometry

Elementary Planar Geometry Elementary Planar Geometry What is a geometric solid? It is the part of space occupied by a physical object. A geometric solid is separated from the surrounding space by a surface. A part of the surface

More information

MATH STUDENT BOOK. 8th Grade Unit 6

MATH STUDENT BOOK. 8th Grade Unit 6 MATH STUDENT BOOK 8th Grade Unit 6 Unit 6 Measurement Math 806 Measurement Introduction 3 1. Angle Measures and Circles 5 Classify and Measure Angles 5 Perpendicular and Parallel Lines, Part 1 12 Perpendicular

More information

Angle Unit Definitions

Angle Unit Definitions ngle Unit Definitions Name lock Date Term Definition Notes Sketch D djacent ngles Two coplanar angles with a coon side, a coon vertex, and no coon interior points. Must be named with 3 letters OR numbers

More information

Geometry/Trigonometry Unit 5: Polygon Notes Period:

Geometry/Trigonometry Unit 5: Polygon Notes Period: Geometry/Trigonometry Unit 5: Polygon Notes Name: Date: Period: # (1) Page 270 271 #8 14 Even, #15 20, #27-32 (2) Page 276 1 10, #11 25 Odd (3) Page 276 277 #12 30 Even (4) Page 283 #1-14 All (5) Page

More information

VOCABULARY. Chapters 1, 2, 3, 4, 5, 9, and 8. WORD IMAGE DEFINITION An angle with measure between 0 and A triangle with three acute angles.

VOCABULARY. Chapters 1, 2, 3, 4, 5, 9, and 8. WORD IMAGE DEFINITION An angle with measure between 0 and A triangle with three acute angles. Acute VOCABULARY Chapters 1, 2, 3, 4, 5, 9, and 8 WORD IMAGE DEFINITION Acute angle An angle with measure between 0 and 90 56 60 70 50 A with three acute. Adjacent Alternate interior Altitude of a Angle

More information

Math 6, Unit 8 Notes: Geometric Relationships

Math 6, Unit 8 Notes: Geometric Relationships Math 6, Unit 8 Notes: Geometric Relationships Points, Lines and Planes; Line Segments and Rays As we begin any new topic, we have to familiarize ourselves with the language and notation to be successful.

More information

Unit 5, Lesson 5.2 Proving Theorems About Angles in Parallel Lines Cut by a Transversal

Unit 5, Lesson 5.2 Proving Theorems About Angles in Parallel Lines Cut by a Transversal Unit 5, Lesson 5.2 Proving Theorems About Angles in Parallel Lines Cut by a Transversal Think about all the angles formed by parallel lines intersected by a transversal. What are the relationships among

More information

1. Measuring Angles (4).notebook October 21, 2014

1. Measuring Angles (4).notebook October 21, 2014 IWBAT estimate, classify, measure and draw acute, obtuse, right, straight, 180+, complementary, supplementary, and vertical angles. 1 Angles are measured in degrees! 2 Please Create a Vocabulary section

More information

Ms. Campos 7 th Grade. Unit 14- Angles

Ms. Campos 7 th Grade. Unit 14- Angles Ms. Campos 7 th Grade Unit 14- Angles 2017-2018 Date Lesson Topic Homework 3 W 5/16 1 Complementary Angles Lesson 1 - Page 5 4 T 5/17 2 Supplementary Angles Lesson 2 Page 9 5 F 5/18 3 Vertical Angles Lesson

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

A closed plane figure with at least 3 sides The sides intersect only at their endpoints. Polygon ABCDEF

A closed plane figure with at least 3 sides The sides intersect only at their endpoints. Polygon ABCDEF A closed plane figure with at least 3 sides The sides intersect only at their endpoints B C A D F E Polygon ABCDEF The diagonals of a polygon are the segments that connects one vertex of a polygon to another

More information

Math Polygons

Math Polygons Math 310 9.2 Polygons Curve & Connected Idea The idea of a curve is something you could draw on paper without lifting your pencil. The idea of connected is that a set can t be split into two disjoint sets.

More information

Parallel Lines & Transversals

Parallel Lines & Transversals Parallel Lines & Transversals Parallel Lines and Transversals What would you call two lines which do not intersect? Parallel A C Interior B D A solid arrow placed on two lines of a diagram indicate the

More information

For full credit, show all work. Study all geometry vocabulary words from your chapter packet.

For full credit, show all work. Study all geometry vocabulary words from your chapter packet. Accelerated Review 9: Geometric Relationships Name: For full credit, show all work. Study all geometry vocabulary words from your chapter packet. Caleb drew a quadrilateral on his paper. Which of the following

More information

4.1 TRIANGLES AND ANGLES

4.1 TRIANGLES AND ANGLES 4.1 TRIANGLES AND ANGLES polygon- a closed figure in a plane that is made up of segments, called sides, that intersect only at their endpoints, called vertices Can you name these? triangle- a three-sided

More information

Proving Theorems about Lines and Angles

Proving Theorems about Lines and Angles Proving Theorems about Lines and Angles Angle Vocabulary Complementary- two angles whose sum is 90 degrees. Supplementary- two angles whose sum is 180 degrees. Congruent angles- two or more angles with

More information

Geometry Vocabulary Math Fundamentals Reference Sheet Page 1

Geometry Vocabulary Math Fundamentals Reference Sheet Page 1 Math Fundamentals Reference Sheet Page 1 Acute Angle An angle whose measure is between 0 and 90 Acute Triangle A that has all acute Adjacent Alternate Interior Angle Two coplanar with a common vertex and

More information

Measurement and Geometry (M&G3)

Measurement and Geometry (M&G3) MPM1DE Measurement and Geometry (M&G3) Please do not write in this package. Record your answers to the questions on lined paper. Make notes on new definitions such as midpoint, median, midsegment and any

More information

L4 Special Angles and Lines 4.1 Angles Per Date

L4 Special Angles and Lines 4.1 Angles Per Date Jigsaw Activity: We now proceed to investigate some important types of angles pairs. Be sure to include in your booklets all the new vocabulary and theorems. Good luck! 1. Adjacent Angles and the Angle

More information

Mathematics For Class IX Lines and Angles

Mathematics For Class IX Lines and Angles Mathematics For Class IX Lines and Angles (Q.1) In Fig, lines PQ and RS intersect each other at point O. If, find angle POR and angle ROQ (1 Marks) (Q.2) An exterior angle of a triangle is 110 and one

More information

Angles formed by Parallel Lines

Angles formed by Parallel Lines Worksheet Answers 1. a = 60, b = 120, c = 120 2. a = 90, b = 90, c = 50 3. a = 77, b = 52, c = 77, d = 51 4. a = 60, b = 120, c = 120, d= 115, e = 65, f =115, g = 125, h =55, I =125 5. a = 90, b = 163,

More information

Warmup 2/(# of sides on a heptagon)

Warmup 2/(# of sides on a heptagon) Created by Mr. Lischwe Warmup 2/(# of sides on a heptagon) C E A B D F GIVE AN EXAMPLE OF: 1. An obtuse angle 2. A pair of supplementary angles 3. A pair of vertical angles 4. A pair of complementary angles

More information

Quarter 1 Study Guide Honors Geometry

Quarter 1 Study Guide Honors Geometry Name: Date: Period: Topic 1: Vocabulary Quarter 1 Study Guide Honors Geometry Date of Quarterly Assessment: Define geometric terms in my own words. 1. For each of the following terms, choose one of the

More information

Department: Course: Chapter 1

Department: Course: Chapter 1 Department: Course: 2016-2017 Term, Phrase, or Expression Simple Definition Chapter 1 Comprehension Support Point Line plane collinear coplanar A location in space. It does not have a size or shape The

More information

MATH STUDENT BOOK. 7th Grade Unit 8

MATH STUDENT BOOK. 7th Grade Unit 8 MATH STUDENT BOOK 7th Grade Unit 8 Unit 8 Geometry Math 708 Geometry Introduction 3 1. Basic Geometry 5 Introduction to Geometry 5 Special Pairs of Angles 12 Polygons 20 Circles 27 Self Test 1: Basic Geometry

More information

Angle Relationships in Triangles Focus on Reasoning. Essential question: What are some theorems about angle measures in triangles? G-CO.3.

Angle Relationships in Triangles Focus on Reasoning. Essential question: What are some theorems about angle measures in triangles? G-CO.3. Name lass 4- Date ngle Relationships in Triangles Focus on Reasoning Essential question: What are some theorems about angle measures in triangles? G-O..0 Investigate the angle measures of a triangle. Use

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

Contents. Lines, angles and polygons: Parallel lines and angles. Triangles. Quadrilaterals. Angles in polygons. Congruence.

Contents. Lines, angles and polygons: Parallel lines and angles. Triangles. Quadrilaterals. Angles in polygons. Congruence. Colegio Herma. Maths Bilingual Departament Isabel Martos Martínez. 2015 Contents Lines, angles and polygons: Parallel lines and angles Triangles Quadrilaterals Angles in polygons Congruence Similarity

More information

Mrs. Daniel s Geometry Vocab List

Mrs. Daniel s Geometry Vocab List Mrs. Daniel s Geometry Vocab List Geometry Definition: a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space. Refectional Symmetry Definition:

More information