Thank you for purchasing Parallel Lines Cut by a Transversal ~ Notes & Worksheets ~

Size: px
Start display at page:

Download "Thank you for purchasing Parallel Lines Cut by a Transversal ~ Notes & Worksheets ~"

Transcription

1 Thank you for purchasing Parallel Lines Cut by a Transversal ~ Notes & Worksheets ~ If you enjoyed this product or have advice on a way to improve it please take the time to leave a review! You earn TPT credits for every review you leave! Visit my store for more 8th grade, Algebra 1, and Geometry resources! Cover Art Created by : Julie Faulkner 1

2 Instructions Pages 3 is designed to be used as in class notes to introduce the angle pairs created by parallel lines and transversals. Answer key located on page 8. Pages 4&5 create a foldable that students can put in their notebooks to help them practice recognizing the different types of angle pairs. Directions are on the pages and no answer key is needed/included. Page 6 can be used as notes or as a worksheet to help students practice identifying angle pairs and finding missing angle measurements. Answer key located on page 9. Page 7 can be used as notes or as a worksheet to help students practice writing & solving equations for congruent and supplementary angle pairs. Answer key located on page 10. 2

3 Vocabulary - A line that crosses parallel lines to create pairs of congruent and supplementary angles - Having the same measurement - Angles that add up to 180 Angle Pairs in Parallel Lines Cut by a Transversal Interior Interior - Angles that lie on the same side of the transversal and on the same side of the parallel lines. in the same corner and are congruent - Angles on opposite sides of the transversal and inside the two parallel lines. congruent - Angles on opposite sides of the transversal and outside the parallel lines. congruent - Angles on the same side of the transversal and inside the parallel lines. supplementary - Angles on the same side of the transversal and outside the parallel lines. supplementary - Angles that are across from each other and are formed by any intersecting lines (not just parallel lines and transversals). congruent. 3

4 Cut out the squares on page 5 and glue them to the corresponding square Fill in Congruent or Supplementary for each box to say what the angles are Corresponding Angles Same-Side Angles Vertical Angles Same-Side Interior Angles Alternate Interior Angles Same-Side Interior Angles Alternate Angles Vertical Angles Alternate Angles Alternate Interior Angles Same-Side Angles Corresponding Angles 4

5 1. Cut out the squares 2. Fold along the dotted line in each square to create a flap 3. Glue the flap to the corresponding square on page 4 Do NOT cut the dotted lines...they are for folding 5

6 For each set of angles name the angle pair and find the missing measurement 1) 68 5) 77 2) 134 6) 106 3) 120 7) 74 4) 101 8) 142 6

7 1) Angle Pairs Created by Parallel Lines Cut by a Transversal For each set of angles name the angle pair, write the equation, solve the equation for x, and plug in x to find the missing angle measurements 3 6 Equation x= Angle Measurements= 2) 7x-12 Equation 3x+28 x= Angle Measurements= 3) 3x+77 Equation 4x+54 x= Angle Measurements= 4) 9x+8 Equation 4x+18 x= Angle Measurements= 7

8 Vocabulary Transversal - A line that crosses parallel lines to create pairs of congruent and supplementary angles Congruent - Having the same measurement Supplementary - Angles that add up to 180 Angle Pairs in Parallel Lines Cut by a Transversal Interior Interior Have students color in the angle pairs on the diagrams Corresponding - Angles that lie on the same side of the transversal and on the same side of the parallel lines. in the same corner and are congruent Alternate Interior - Angles on opposite sides of the transversal and inside the two parallel lines. congruent Alternate - Angles on opposite sides of the transversal and outside the parallel lines. congruent Same-Side Interior - Angles on the same side of the transversal and inside the parallel lines. supplementary Same-Side - Angles on the same side of the transversal and outside the parallel lines. supplementary Vertical - Angles that are across from each other and are formed by any intersecting lines (not just parallel lines and transversals). congruent. 8

9 For each set of angles name the angle pair and find the missing measurement 1) 68 _Corresponding Congruent so.x= 68 5) 77 _Same-Side _Supplementary so.x=_103 2) 134 _Same-Side Interior _Supplementary so.x=_46 6) 106 _Alternate Interior _Congruent so.x=_106 3) 120 _Vertical Congruent 7) 74 _Same-Side Interior _Supplementary so.x=_120 so.x=_106 4) 101 _Alternate Interior _Congruent so.x=_101 8) 142 _Alternate _Congruent so.x=_142 9

10 1) Angle Pairs Created by Parallel Lines Cut by a Transversal For each set of angles name the angle pair, write the equation, solve the equation for x, and plug in x to find the missing angle measurements 3 6 _Same-Side Interior _Supplementary Equation 3x+6x=180 x=_20 Angle Measurements= 60 &120 2) 7x-12 _Alternate _Congruent Equation 7x-12=3x+28 3x+28 x=_10 Angle Measurements= 58 &58 3) 3x+77 _Same-Side _Supplementary Equation 3x+77+4x+54=180 4x+54 x=_7 Angle Measurements= 98 &82 4) _Corresponding Congruent 9x+8 Equation 9x+8=4x+18 4x+18 x=_2 Angle Measurements= 26 &26 10

11 If your students need more practice to strengthen their skills in parallel lines cut by a transversal I hope you will explore some of my other resources as well. Images are hyperlinked for easy access to the product 11

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

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

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

Geometry Unit 3 Equations of Lines/Parallel & Perpendicular Lines

Geometry Unit 3 Equations of Lines/Parallel & Perpendicular Lines Geometry Unit 3 Equations of Lines/Parallel & Perpendicular Lines Lesson Parallel Lines & Transversals Angles & Parallel Lines Slopes of Lines Assignment 174(14, 15, 20-37, 44) 181(11-19, 25, 27) *TYPO

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

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

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

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

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

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

Properties of Parallelograms

Properties of Parallelograms Properties of Parallelograms U-OU PUZZ! Objective: tudents will practice identifying and applying the properties of parallelograms to solve for sides and angles. everal problems require that students solve

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

Maintaining Mathematical Proficiency

Maintaining Mathematical Proficiency Chapter 3 Maintaining Mathematical Proficiency Find the slope of the line.. y. y 3. ( 3, 3) y (, ) (, ) x x (, ) x (, ) ( 3, 3)... (, ) y (0, 0) 8 8 x x 8 8 y (, ) (, ) y (, ) (, 0) x Write an equation

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

Sorting Quadrilaterals Activity a. Remove the Concave quadrilaterals? Which did you remove?

Sorting Quadrilaterals Activity a. Remove the Concave quadrilaterals? Which did you remove? 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 Sorting Quadrilaterals Activity 1a. Remove the Concave quadrilaterals? Which did you remove? 3. 6. From Geometry Teacher s Activity Workbook p 114 & 115 1b. The Rest

More information

Angle Geometry. Lesson 18

Angle Geometry. Lesson 18 Angle Geometry Lesson 18 Lesson Eighteen Concepts Specific Expectations Determine, through investigation using a variety of tools, and describe the properties and relationships of the interior and exterior

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

Hartmann HONORS Geometry Chapter 3 Formative Assessment * Required

Hartmann HONORS Geometry Chapter 3 Formative Assessment * Required Hartmann HONORS Geometry Chapter 3 Formative Assessment * Required 1. First Name * 2. Last Name * Vocabulary Match the definition to the vocabulary word. 3. Non coplanar lines that do not intersect. *

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

Geometry. Set 2. Daily Practice And Answer Keys

Geometry. Set 2. Daily Practice And Answer Keys Geometry Set 2 Daily Practice And Answer Keys Website: http://alex.state.al.us/ccrs/node/314 Name Daily Practice Geometry DAY 6 1. Which of the following has only 3 angles? A. A triangle B. A square C.

More information

BACK TO THE BASICS: GEOMETRY

BACK TO THE BASICS: GEOMETRY BACK TO THE BASICS: GEOMETRY Grade Level or Special Area: 4 th Grade Written by: Amy Beling, Littleton Academy, Littleton, Colorado Length of Unit: Five lessons (approximately five days, one day = 45 minutes)

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

1. Take out a piece of notebook paper and make a hot dog fold over from the right side over to the pink line. Foldable

1. Take out a piece of notebook paper and make a hot dog fold over from the right side over to the pink line. Foldable Four sided polygon 1. Take out a piece of notebook paper and make a hot dog fold over from the right side over to the pink line. Foldable Foldable The fold crease 2. Now, divide the right hand section

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

6.2 parallelograms 2016 ink.notebook. January 11, Page 16. Page Parallelograms. Don't forget to put it in the table of contents

6.2 parallelograms 2016 ink.notebook. January 11, Page 16. Page Parallelograms. Don't forget to put it in the table of contents 6.2 parallelograms 2016 ink.notebook Page 16 Page 15 6.2 Parallelograms Don't forget to put it in the table of contents Lesson Objectives Standards 6.2 Parallelograms Press the tabs to view details. Lesson

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

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

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

GEOMETRY By Murney R. Bell

GEOMETRY By Murney R. Bell Hayes AM109R Mastering the Standards GEOMETRY By Murney R. Bell Grade 7 + Mastering the Standards Geometry By Murney R. Bell Illustrated by Reneé Yates Copyright 2008, Hayes School Publishing Co., Inc.,

More information

Over Lesson 6 2??? Over Lesson 6 2? A. B. C. 2

Over Lesson 6 2??? Over Lesson 6 2? A. B. C. 2 Five-Minute Check (over Lesson 6 2) CCSS Then/Now Theorems: Conditions for Parallelograms Proof: Theorem 6.9 Example 1: Identify Parallelograms Example 2: Real-World Example: Use Parallelograms to Prove

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

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

You MUST know the big 3 formulas!

You MUST know the big 3 formulas! Name 3-13 Review Geometry Period Date Unit 3 Lines and angles Review 3-1 Writing equations of lines. Determining slope and y intercept given an equation y = mx + b Writing the equation of a line given

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

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

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

First Quarter Second Quarter Third Quarter Fourth Quarter Unit 1: Geometry Basics

First Quarter Second Quarter Third Quarter Fourth Quarter Unit 1: Geometry Basics Document Definitions Geometry/Geometry Honors Pacing Guide Focus: Second Quarter First Quarter Second Quarter Third Quarter Fourth Quarter Unit 1: Geometry Basics 2.5 weeks/6 blocks Unit 2: Logic and Reasoning

More information

Honors Geometry. Worksheet 4.1: Quadrilaterals. Quadrilateral:. (definition) Parallelogram:. (definition)

Honors Geometry. Worksheet 4.1: Quadrilaterals. Quadrilateral:. (definition) Parallelogram:. (definition) Honors Geometry Name: Worksheet 4.1: Quadrilaterals Fill in the blanks using definitions and theorems about quadrilaterals. Quadrilateral:. The midquad of a quadrilateral is a. The sum of the measures

More information

UNIT 1 SIMILARITY, CONGRUENCE, AND PROOFS Lesson 10: Proving Theorems About Parallelograms Instruction

UNIT 1 SIMILARITY, CONGRUENCE, AND PROOFS Lesson 10: Proving Theorems About Parallelograms Instruction Prerequisite Skills This lesson requires the use of the following skills: applying angle relationships in parallel lines intersected by a transversal applying triangle congruence postulates applying triangle

More information

West Windsor-Plainsboro Regional School District Basic Geometry Grades 9-12

West Windsor-Plainsboro Regional School District Basic Geometry Grades 9-12 West Windsor-Plainsboro Regional School District Basic Geometry Grades 9-12 Unit 1: Basics of Geometry Content Area: Mathematics Course & Grade Level: Basic Geometry, 9 12 Summary and Rationale This unit

More information

Chapters 7 & 8. Parallel and Perpendicular Lines/Triangles and Transformations

Chapters 7 & 8. Parallel and Perpendicular Lines/Triangles and Transformations Chapters 7 & 8 Parallel and Perpendicular Lines/Triangles and Transformations 7-2B Lines I can identify relationships of angles formed by two parallel lines cut by a transversal. 8.G.5 Symbolic Representations

More information

Essential Understandings

Essential Understandings Understandings Questions Basic properties about lines, angles, two- and three-dimensional figures can be used to solve a variety of theoretical and practical problems. What are the various relationships

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

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

Geometry Review. Line CD is drawn perpendicular to Line BC.

Geometry Review. Line CD is drawn perpendicular to Line BC. Geometry Review Geometry is the original mathematics! Way before x and y s and all that algebra stuff! You will find that geometry has many definitions and exact vocabulary! Knowing the meaning of words

More information

5.5 Properties of Parallelogram

5.5 Properties of Parallelogram GEOMETRY Q2T6 5.5 Exam View WS Name: Class: Date: 5.5 Properties of Parallelogram True/False Indicate whether the statement is true or false. 1. In a parallelogram, the consecutive angles are congruent.

More information

Mathematical Reasoning. Lesson 41: Triangles and Quadrilaterals. LESSON 41: Triangles and Quadrilaterals

Mathematical Reasoning. Lesson 41: Triangles and Quadrilaterals. LESSON 41: Triangles and Quadrilaterals LESSON 41: Triangles and Quadrilaterals Weekly Focus: geometry intro Weekly Skill: vocabulary, and measure perimeter, area Lesson Summary: For the warm up, students will solve a problem about the U.S.

More information

Unit 5: Polygons and Quadrilaterals

Unit 5: Polygons and Quadrilaterals Unit 5: Polygons and Quadrilaterals Scale for Unit 5 4 Through independent work beyond what was taught in class, students could (examples include, but are not limited to): - Research a unique building

More information

GEOMETRY APPLICATIONS

GEOMETRY APPLICATIONS GEOMETRY APPLICATIONS Chapter 3: Parallel & Perpendicular Lines Name: Teacher: Pd: 0 Table of Contents DAY 1: (Ch. 3-1 & 3-2) SWBAT: Identify parallel, perpendicular, and skew lines. Identify the angles

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

Geometry CP Constructions Part I Page 1 of 4. Steps for copying a segment (TB 16): Copying a segment consists of making segments.

Geometry CP Constructions Part I Page 1 of 4. Steps for copying a segment (TB 16): Copying a segment consists of making segments. Geometry CP Constructions Part I Page 1 of 4 Steps for copying a segment (TB 16): Copying a segment consists of making segments. Geometry CP Constructions Part I Page 2 of 4 Steps for bisecting a segment

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

Thomas Jefferson High School for Science and Technology Program of Studies TJ Math 1

Thomas Jefferson High School for Science and Technology Program of Studies TJ Math 1 Course Description: This course is designed for students who have successfully completed the standards for Honors Algebra I. Students will study geometric topics in depth, with a focus on building critical

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

Unit 3: Congruence & Similarity

Unit 3: Congruence & Similarity Approximate Time Frame: 6 weeks Connections to Previous Learning: In previous grades, students made scale drawings of geometric figures and solved problems involving angle measure, surface area, and volume.

More information

8th Grade Math. Parent Handbook

8th Grade Math. Parent Handbook 8th Grade Math Benchmark 1 Parent Handbook This handbook will help your child review material learned this quarter, and will help them prepare for their first Benchmark Test. Please allow your child to

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

GEOMETRY LAB UNIT 3: PARALLEL AND PERPENDICULAR LINES

GEOMETRY LAB UNIT 3: PARALLEL AND PERPENDICULAR LINES GEOMETRY LAB UNIT 3: PARALLEL AND PERPENDICULAR LINES **SHOW ALL WORK** A COMPASS AND GRAPH PAPER IS NECESSARY FOR THIS UNIT LESSON TOPIC BOOK/ VIDEO DAY 1 LINES AND ANGLES (3-1) SYSTEMS OF EQUATIONS (P152-3)

More information

Geometry Foundations Pen Argyl Area High School 2018

Geometry Foundations Pen Argyl Area High School 2018 Geometry emphasizes the development of logical thinking as it relates to geometric problems. Topics include using the correct language and notations of geometry, developing inductive and deductive reasoning,

More information

Geometry Curriculum Guide Dunmore School District Dunmore, PA

Geometry Curriculum Guide Dunmore School District Dunmore, PA Geometry Dunmore School District Dunmore, PA Geometry Prerequisite: Successful completion Algebra I This course is designed for the student who has successfully completed Algebra I. The course content

More information

3-2 Proving Lines Parallel. Objective: Use a transversal in proving lines parallel.

3-2 Proving Lines Parallel. Objective: Use a transversal in proving lines parallel. 3-2 Proving Lines Parallel Objective: Use a transversal in proving lines parallel. Objectives: 1) Identify angles formed by two lines and a transversal. 2) Prove and use properties of parallel. Page 132

More information

Integrated Math B. Syllabus. Course Overview. Course Goals. Math Skills

Integrated Math B. Syllabus. Course Overview. Course Goals. Math Skills Syllabus Integrated Math B Course Overview Integrated Math is a comprehensive collection of mathematical concepts designed to give you a deeper understanding of the world around you. It includes ideas

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

Name Date Class. Vertical angles are opposite angles formed by the intersection of two lines. Vertical angles are congruent.

Name Date Class. Vertical angles are opposite angles formed by the intersection of two lines. Vertical angles are congruent. SKILL 43 Angle Relationships Example 1 Adjacent angles are pairs of angles that share a common vertex and a common side. Vertical angles are opposite angles formed by the intersection of two lines. Vertical

More information

Miss C's Two-Week Forecast

Miss C's Two-Week Forecast Miss C's Two-Week Forecast Monday Tuesday Wednesday Thursday Friday Lesson 12: (Vocab Intro) Lesson 12 (Theorems) Break Break Break Break Break Lesson 11 (Algebra Review) Constructions Next Week... Monday

More information

4.0 independently go beyond the classroom to design a real-world connection with polygons that represents a situation in its context.

4.0 independently go beyond the classroom to design a real-world connection with polygons that represents a situation in its context. ANDERSON Lesson plans!!! Intro to Polygons 10.17.16 to 11.4.16 Level SCALE Intro to Polygons Evidence 4.0 independently go beyond the classroom to design a real-world connection with polygons that represents

More information

Geometry Honors Curriculum Guide Dunmore School District Dunmore, PA

Geometry Honors Curriculum Guide Dunmore School District Dunmore, PA Geometry Honors Dunmore School District Dunmore, PA Geometry Honors Prerequisite: Successful Completion of Algebra I Honors K This course is designed for the student who has successfully completed Algebra

More information

Parallel Lines and Transversals. Students will learn how to find the measures of alternate interior angles and same-side interior angles.

Parallel Lines and Transversals. Students will learn how to find the measures of alternate interior angles and same-side interior angles. Parallel Lines and Transversals Students will learn how to find the measures of alternate interior angles and same-side interior angles. Parallel Lines and Transversals When a pair of parallel lines are

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

2. Write the point-slope form of the equation of the line passing through the point ( 2, 4) with a slope of 3. (1 point)

2. Write the point-slope form of the equation of the line passing through the point ( 2, 4) with a slope of 3. (1 point) Parallel and Perpendicular Lines Unit Test David Strong is taking this assessment. Multiple Choice 1. Which construction is illustrated above? a segment congruent to a given segment an angle congruent

More information

CORRELATION TO GEORGIA QUALITY CORE CURRICULUM FOR GEOMETRY (GRADES 9-12)

CORRELATION TO GEORGIA QUALITY CORE CURRICULUM FOR GEOMETRY (GRADES 9-12) CORRELATION TO GEORGIA (GRADES 9-12) SUBJECT AREA: Mathematics COURSE: 27. 06300 TEXTBOOK TITLE: PUBLISHER: Geometry: Tools for a Changing World 2001 Prentice Hall 1 Solves problems and practical applications

More information

Morgan Hill Unified School District Course Outline

Morgan Hill Unified School District Course Outline Course Title: Plane Geometry CP Course Length: One Year Credits: 10 credits Grades: 8-12 Morgan Hill Unified School District Course Outline Course Goals Students will be able to apply to properties of

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

Math 3 - Lesson Title: Using the Coordinate Plane for Proofs

Math 3 - Lesson Title: Using the Coordinate Plane for Proofs Targeted Content Standard(s): Use coordinates to prove simple geometric theorems algebraically. G.GPE.4 Use coordinates to prove simple geometric theorems algebraically. For example, prove or disprove

More information

Pre AP Geometry. Mathematics Standards of Learning Curriculum Framework 2009: Pre AP Geometry

Pre AP Geometry. Mathematics Standards of Learning Curriculum Framework 2009: Pre AP Geometry Pre AP Geometry Mathematics Standards of Learning Curriculum Framework 2009: Pre AP Geometry 1 The content of the mathematics standards is intended to support the following five goals for students: becoming

More information

Subject : Mathematics Level B1 Class VII Lesson: 1 (Integers)

Subject : Mathematics Level B1 Class VII Lesson: 1 (Integers) Subject : Mathematics Level B1 Class VII Lesson: 1 (Integers) Skill/Competency /Concept Computational Skill Properties of Addition and subtraction of integers Multiplication and division Operation on integer.

More information

Unit 4 Quadrilaterals and Polygons (QDP) Target Lesson Plan 3 Weeks

Unit 4 Quadrilaterals and Polygons (QDP) Target Lesson Plan 3 Weeks Unit 4 Quadrilaterals and Polygons (QDP) Target Lesson Plan 3 Weeks 2011-12 M2.3.J Know, prove, and apply basic theorems about s. 2,3 MC,CP I Know, prove, and apply theorems about properties of quadrilaterals

More information

Instructional Unit CPM Geometry Unit Content Objective Performance Indicator Performance Task State Standards Code:

Instructional Unit CPM Geometry Unit Content Objective Performance Indicator Performance Task State Standards Code: 306 Instructional Unit Area 1. Areas of Squares and The students will be -Find the amount of carpet 2.4.11 E Rectangles able to determine the needed to cover various plane 2. Areas of Parallelograms and

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

CK-12 Geometry: Properties of Parallel Lines

CK-12 Geometry: Properties of Parallel Lines CK-12 Geometry: Properties of Parallel Lines Learning Objectives Use the Corresponding Angles Postulate. Use the Alternate Interior Angles Theorem. Use the Alternate Exterior Angles Theorem. Use Same Side

More information

Geometry ~ Unit 2. Lines, Angles, and Triangles *CISD Safety Net Standards: G.6D

Geometry ~ Unit 2. Lines, Angles, and Triangles *CISD Safety Net Standards: G.6D Lines, Angles, and Triangles *CISD Safety Net Standards: G.6D Title Suggested Time Frame 1 st and 2 nd Six Weeks Suggested Duration: 30 Days Geometry Big Ideas/Enduring Understandings Module 4 Parallel

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

SOL 6.13 Quadrilaterals

SOL 6.13 Quadrilaterals SOL 6.13 Quadrilaterals 6.13 The student will describe and identify properties of quadrilaterals. Understanding the Standard: A quadrilateral is a closed planar (two-dimensional) figure with four sides

More information

Unit 2 Transformational Geometry

Unit 2 Transformational Geometry Number of Days: 24 10/16/17 11/17/17 Unit Goals Stage 1 Unit Description: Students study congruency and similarity by experimenting with dilations, rotations, reflections, and translations of geometric

More information

104, 107, 108, 109, 114, 119, , 129, 139, 141, , , , , 180, , , 128 Ch Ch1-36

104, 107, 108, 109, 114, 119, , 129, 139, 141, , , , , 180, , , 128 Ch Ch1-36 111.41. Geometry, Adopted 2012 (One Credit). (c) Knowledge and skills. Student Text Practice Book Teacher Resource: Activities and Projects (1) Mathematical process standards. The student uses mathematical

More information

PARALLEL LINES AND TRANSVERSALS ANSWER KEY

PARALLEL LINES AND TRANSVERSALS ANSWER KEY page 1 / 5 page 2 / 5 parallel lines and transversals pdf i L2c0 j1e1 2 wkcuxtwan NSmoFfft DwxaTr1eS OLwLXCZ. 4 b GAKlzl x 7rHi1gVhntis E 5r 1eJs ge 5r wvteod3.o Z TM Ta Od0eF Dw Qihtoh B TInAfViYnRi5tveR

More information

Geometry CP Pen Argyl Area High School 2018

Geometry CP Pen Argyl Area High School 2018 Geometry emphasizes the development of logical thinking as it relates to geometric problems. Topics include using the correct language and notations of geometry, developing inductive and deductive reasoning,

More information

Amarillo ISD Math Curriculum

Amarillo ISD Math Curriculum Amarillo Independent School District follows the Texas Essential Knowledge and Skills (TEKS). All of AISD curriculum and documents and resources are aligned to the TEKS. The State of Texas State Board

More information

Central Valley School District Math Curriculum Map Grade 8. August - September

Central Valley School District Math Curriculum Map Grade 8. August - September August - September Decimals Add, subtract, multiply and/or divide decimals without a calculator (straight computation or word problems) Convert between fractions and decimals ( terminating or repeating

More information

Essential Questions Content Skills Assessments Standards/PIs Resources/Notes. Restates a nonmathematical. using logic notation

Essential Questions Content Skills Assessments Standards/PIs Resources/Notes. Restates a nonmathematical. using logic notation Map: Geometry R+ Type: Consensus Grade Level: 10 School Year: 2011-2012 Author: Jamie Pietrantoni District/Building: Island Trees/Island Trees High School Created: 05/10/2011 Last Updated: 06/28/2011 Essential

More information

Curriculum & Pacing Guide

Curriculum & Pacing Guide Curriculum & Pacing Guide Geometry Martinsville City Public Schools By: Barry Lingerfelt Martinsville City Public Schools Plan of Action The Curriculum Guides represent Martinsville City Public Schools

More information

All rights reserved. Reproduction of these materials for instructional purposes in public school classrooms in Virginia is permitted.

All rights reserved. Reproduction of these materials for instructional purposes in public school classrooms in Virginia is permitted. Geometry Copyright 2009 by the Virginia Department of Education P.O. Box 2120 Richmond, Virginia 23218-2120 http://www.doe.virginia.gov All rights reserved. Reproduction of these materials for instructional

More information

Point A location in geometry. A point has no dimensions without any length, width, or depth. This is represented by a dot and is usually labelled.

Point A location in geometry. A point has no dimensions without any length, width, or depth. This is represented by a dot and is usually labelled. Test Date: November 3, 2016 Format: Scored out of 100 points. 8 Multiple Choice (40) / 8 Short Response (60) Topics: Points, Angles, Linear Objects, and Planes Recognizing the steps and procedures for

More information

Name Period Date GRADE 7: MATHEMATICS COMMON CORE SUPPLEMENT ANGLES, DRAWINGS, AND ALGEBRAIC CONNECTIONS

Name Period Date GRADE 7: MATHEMATICS COMMON CORE SUPPLEMENT ANGLES, DRAWINGS, AND ALGEBRAIC CONNECTIONS Name Period Date 7-CORE3.1 Geometric Figures Measure and draw angles using a protractor. Review facts about interior angles of triangles and quadrilaterals. Find missing angle measures in geometric diagrams.

More information

Unit 6: Connecting Algebra and Geometry Through Coordinates

Unit 6: Connecting Algebra and Geometry Through Coordinates Unit 6: Connecting Algebra and Geometry Through Coordinates The focus of this unit is to have students analyze and prove geometric properties by applying algebraic concepts and skills on a coordinate plane.

More information

7. 2 More Things Under. Construction. A Develop Understanding Task

7. 2 More Things Under. Construction. A Develop Understanding Task 7 Construction A Develop Understanding Task Like a rhombus, an equilateral triangle has three congruent sides. Show and describe how you might locate the third vertex point on an equilateral triangle,

More information

Mathematics Success Grade 6

Mathematics Success Grade 6 Mathematics Success Grade 6 T683 [OBJECTIVE] The student will determine the volume of rectangular prisms with fractional edge lengths and solve problems in mathematical and real-world situations. [PREREQUISITE

More information

6th Grade P-AP Math Algebra

6th Grade P-AP Math Algebra 6th Grade P-AP Math Algebra If your student is considering a jump from 6th grade P-AP to 7th Grade Advanced math, please be advised of the following gaps in instruction. None of the 7th or 8th grade mathematics

More information

Geometry Sixth Grade

Geometry Sixth Grade Standard 6-4: The student will demonstrate through the mathematical processes an understanding of shape, location, and movement within a coordinate system; similarity, complementary, and supplementary

More information

Ready to Go On? Skills Intervention Building Blocks of Geometry

Ready to Go On? Skills Intervention Building Blocks of Geometry 8-1 Ready to Go On? Skills Intervention Building Blocks of Geometry A point is an exact location. A line is a straight path that extends without end in opposite directions. A plane is a flat surface that

More information