Triangle Artwork Project

Size: px
Start display at page:

Download "Triangle Artwork Project"

Transcription

1 Triangle Artwork Project Introduction: For this project you will work individually creating a project using nothing but triangles. You will create a piece of original artwork using GeoGebra. Your project will be created using only triangles and will be graded on the originality and neatness. Objective: The objective of this project is to use the concepts learned in Chapters 3-5 and create an original piece of artwork that incorporates congruent triangles and their properties. Materials: textbook GeoGebra Criteria: Part 1 - Artwork: You will be creating a piece of artwork using triangles and triangles only. NO other shapes are permitted in your project. The artwork must incorporate reflection either about the x-axis or y-axis. If you want any other shapes, you must make them out of triangles. Be creative and colorful in your design. NOTE: Instead of designing your own art, you are allowed to download an image of your choice (must be school appropriate) and upload it to GeoGebra. Using the GeoGebra tools draw triangles over that image. Do not forget to reflect it either about y-axis or x-axis. Your design must include the following: acute triangles obtuse triangles right triangles scalene triangles equilateral/equiangular triangles isosceles triangles 1 pair of congruent triangles that can be proven by using either SSS, SAS, ASA, AAS, or HL

2 You may use as little or as many of the above mentioned triangles in your artwork; however, they must be used at least once and the entire screen needs to be covered. 90% of the GeoGebra design screen needs to be covered in triangles. See examples below. Part 2 - Written Report: In addition to your physical project you will also need to complete a written aspect of it. You are required to use several different types of triangles in your project along with their properties. In order to prove your learning, you will be required to write a 1 page paper explaining your artwork and the different types of triangles used to create your project. This report must be shared with me via Google Docs or ed directly to nolifer@cliffsidepark.edu. Criteria for the written report includes: Paragraph 1: introduction Paragraph 2: provide detailed explanations and descriptions of your artwork: how were you inspired to create your artwork, what inspired you to create your artwork, what does your artwork represent, etc. Paragraph 3: describe how you used the different types of triangles listed above along with an explanation of the process used in creating the image(s) in your artwork; how did you incorporate the properties of triangles (SSS, SAS, ASA, AAS), include how to determine the congruency of triangles based on SSS, SAS, ASA, AAS (what is required to determine congruency based on these postulates/theorems) Paragraph 4: explain how two or more of the concepts you learned about triangles relate to the real world or how they can be applied to the real world with specific examples, details, reasons, and explanations. Paragraph 5: provide your opinion of the project: how do you feel about your final product, did you enjoy the project, do you feel it reinforced what you learned in the chapter, etc. Paragraph 6: write a concluding paragraph briefly summarizing your paper ** Use your imagination and have fun with this project. ** No late projects and written reports will be accepted. Use your time wisely in class. If you get behind, you may work on the project at home.

3 Name Period Artwork 30% based on classification of triangles 30% based on properties of triangles 20% based the percentage of triangles used in artwork 20% based on neatness All triangles listed in the chapter on triangles are used in the artwork and re correctly. Reflection is present. All five properties of congruent triangles are evident in artwork (SSS, SAS, ASA, AAS, HL) and are re correctly. Entire poster board is covered with 90% representing triangles Project is neat and clearly thought out and planned. Project incorporates a wide variety of colors. 1-2 triangles listed in the chapter on triangles are missing from the Artwork. Reflection is present. One property of congruent triangles is missing (SSS, SAS, ASA, AAS, HL). Minimal white of poster board is exposed and/or is mostly covered with triangles. Project is neat and planned for the most part. Project incorporates some variety of colors. 3-4 triangles listed in the chapter on triangles are missing from the Artwork. Reflection is missing. Two properties of congruent triangles are missing (SSS, SAS, ASA, AAS, HL). 50% or more of white is exposed on the poster board and/or is minimally covered in triangles. Project is partially neat and planned. Project incorporates very little of colors. 5 or more triangles listed in the chapter on triangles are missing from the artwork. Reflection is missing. Three or more of the properties of congruent triangles are not re in the artwork. More than 50% of white is exposed on poster board and/or very few triangles are used. Project was rushed, messy, and not taken seriously. Few or no color was used in the project Total:

4 Name Period Written Report 10% Paragraph 1: Introduction 10% Paragraph 2: explanation of artwork 30% Paragraph 3: Postulates/Theorems 20% Paragraph 4: Reallife application 10% Paragraph 5: opinion 10% Paragraph 6: concluding paragraph 10% spelling, grammar, punctuation Total: Paragraph 1: introduction Paragraph 2: provide detailed explanations and descriptions of your artwork: how were you inspired to create your artwork, what inspired you to create your artwork, what does your artwork represent, etc. Paragraph 3: describe how you used the different types of triangles listed above along with a an explanation of the process used in creating the image(s) in your artwork; how did you incorporate the properties of triangles (SSS, SAS, ASA, AAS), include how to determine the congruency of triangles based on SSS, SAS, ASA, AAS (what is required to determine congruency based on these postulates/theorems) Paragraph 4: explain how two or more of the concepts in Chapter 4 relate to the real world or how they can be applied to the real world with specific examples, details, reasons, and explanations

5 Paragraph 5: provide your opinion of the project: how do you feel about your final product, did you enjoy the project, do you feel it reinforced what you learned in the chapter, etc. Paragraph 6: write a concluding paragraph briefly summarizing your paper.

6

7

8

GEOMETRY Chapter 4 Lesson Plan: Triangle Congruence

GEOMETRY Chapter 4 Lesson Plan: Triangle Congruence GEOMETRY Chapter 4 Lesson Plan: Triangle Congruence Name Per. Chapter 3 Test 4.1 Learning Goal: I can Read through Lesson 4-2 and fill in study classify triangles by using guide. (pgs.223-226) their angle

More information

GEOMETRY. Chapter 4: Triangles. Name: Teacher: Pd:

GEOMETRY. Chapter 4: Triangles. Name: Teacher: Pd: GEOMETRY Chapter 4: Triangles Name: Teacher: Pd: Table of Contents DAY 1: (Ch. 4-1 & 4-2) Pgs: 1-5 Pgs: 6-7 SWBAT: Classify triangles by their angle measures and side lengths. Use triangle classification

More information

4 Triangles and Congruence

4 Triangles and Congruence www.ck12.org CHAPTER 4 Triangles and Congruence Chapter Outline 4.1 TRIANGLE SUMS 4.2 CONGRUENT FIGURES 4.3 TRIANGLE CONGRUENCE USING SSS AND SAS 4.4 TRIANGLE CONGRUENCE USING ASA, AAS, AND HL 4.5 ISOSCELES

More information

NAME: Date Target Assignment Done! F a/c 6.1 Day 1 Worksheet. M b 6.1 Take Home Quiz. T a 6.2a Worksheet

NAME: Date Target Assignment Done! F a/c 6.1 Day 1 Worksheet. M b 6.1 Take Home Quiz. T a 6.2a Worksheet Unit 6 Triangle Congruence Target 6.1: Demonstrate knowledge of triangle facts 6.1 a Classify triangles by sides and angles 6.1b Properties of isosceles triangles and equilateral triangles 6.1c Construction

More information

ALGEBRA For each triangle, find x and the measure of each side. 1. LMN is an isosceles triangle, with LM = LN, LM = 3x 2, LN = 2x + 1, and MN = 5x 2.

ALGEBRA For each triangle, find x and the measure of each side. 1. LMN is an isosceles triangle, with LM = LN, LM = 3x 2, LN = 2x + 1, and MN = 5x 2. Find each measure ALGEBRA For each triangle, find x and the measure of each side 4 1 LMN is an isosceles triangle, with LM = LN, LM = 3x 2, LN = 2x + 1, and MN = 5x 2 a x = 1; LM = 1, LN = 3, MN = 4 b

More information

Lesson 3: Triangle Congruence: SSS, SAS, and ASA, Part 1

Lesson 3: Triangle Congruence: SSS, SAS, and ASA, Part 1 Name Date Student Guide Lesson 3: Triangle Congruence: SSS, SAS, and ASA, Part 1 Bridges, ladders, containers, and other items that need to be sturdy often use triangles. A combination of triangles is

More information

Geometry - Concepts 9-12 Congruent Triangles and Special Segments

Geometry - Concepts 9-12 Congruent Triangles and Special Segments Geometry - Concepts 9-12 Congruent Triangles and Special Segments Concept 9 Parallel Lines and Triangles (Section 3.5) ANGLE Classifications Acute: Obtuse: Right: SIDE Classifications Scalene: Isosceles:

More information

Unit 3 Syllabus: Congruent Triangles

Unit 3 Syllabus: Congruent Triangles Date Period Unit 3 Syllabus: Congruent Triangles Day Topic 1 4.1 Congruent Figures 4.2 Triangle Congruence SSS and SAS 2 4.3 Triangle Congruence ASA and AAS 3 4.4 Using Congruent Triangles CPCTC 4 Quiz

More information

Triangle Sum Theorem The sum of the measures of the three angles of a triangle is 180º.

Triangle Sum Theorem The sum of the measures of the three angles of a triangle is 180º. Triangle Sum Theorem The sum of the measures of the three angles of a triangle is 180º. Triangle Sum Theorem The sum of the measures of the three angles of a triangle is 180º. No-Choice Theorem If two

More information

Geometry: Unit 3 Congruent Triangles Practice

Geometry: Unit 3 Congruent Triangles Practice Notes 1. Read the information in the box below and add the definitions and notation to your tool kit. Then answer the questions below the box. Two figures are CONGRUENT if they have exactly the same size

More information

Triangle Congruence Packet #3

Triangle Congruence Packet #3 Triangle Congruence Packet #3 Name Teacher 1 Warm-Up Day 1: Identifying Congruent Triangles Five Ways to Prove Triangles Congruent In previous lessons, you learned that congruent triangles have all corresponding

More information

Chapter 4 Triangles Overview

Chapter 4 Triangles Overview Chapter 4 Triangles Overview Ohio State Standards for Mathematics: G.CO.7 Use the definition of congruence in terms of rigid motions to show that two triangles are congruent if and only if corresponding

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

Discovering Congruent Triangles Activity

Discovering Congruent Triangles Activity Discovering Congruent Triangles Activity For the teacher: Objective: Understanding congruent triangle postulates and theorems using inductive reasoning. Materials needed: straws, protractor, ruler, and

More information

5.1, 5.2 Constructing Circumcenter (Perpendicular Bisectors) Congruent Triangles 4.3

5.1, 5.2 Constructing Circumcenter (Perpendicular Bisectors) Congruent Triangles 4.3 Date Name of Lesson Classifying Triangles 4.1 Angles of Triangles 4.2 Inequalities in One Triangle 5.3 Constructing Incenter (Angle Bisectors) 5.1, 5.2 Constructing Circumcenter (Perpendicular Bisectors)

More information

Polygons A-F An Introduction to Symmetry

Polygons A-F An Introduction to Symmetry Polygons A-F An Introduction to Symmetry Classifying Angles Review STRAIGHT ANGLE RIGHT ANGLES OBTUSE ANGLES ACUTE ANGLES In a previous lesson, unit angles known as wedges were used to measure angles.

More information

4-1. Classifying Triangles. Lesson 4-1. What You ll Learn. Active Vocabulary

4-1. Classifying Triangles. Lesson 4-1. What You ll Learn. Active Vocabulary 4-1 Classifying Triangles What You ll Learn Scan Lesson 4-1. Predict two things that you expect to learn based on the headings and the Key Concept box. 1. Active Vocabulary 2. New Vocabulary Label the

More information

Unit 2 Triangles Part 1

Unit 2 Triangles Part 1 Graded Learning Targets LT 2.1 I can Unit 2 Triangles Part 1 Supporting Learning Targets I can justify, using a formal proof, that the three angles in a triangle add up to 180. I can justify whether or

More information

Unit 4 Congruent Triangles.notebook. Geometry. Congruent Triangles. AAS Congruence. Review of Triangle Congruence Proofs.

Unit 4 Congruent Triangles.notebook. Geometry. Congruent Triangles. AAS Congruence. Review of Triangle Congruence Proofs. Geometry Congruent Triangles AAS Congruence Review of Triangle Congruence Proofs Return to Table 1 Side opposite Side Side the sides of triangles Adjacent Sides - two sides sharing a common vertex leg

More information

Essential Question #1 Is it possible to have two right angles as exterior angles of a triangle? Why or why not?

Essential Question #1 Is it possible to have two right angles as exterior angles of a triangle? Why or why not? Essential Question #1 Is it possible to have two right angles as exterior angles of a triangle? Why or why not? Triangles are classified into two categories: Triangles Sides Angles Scalene Equilateral

More information

Geometry. Congruent Triangles. Unit 4. Name:

Geometry. Congruent Triangles. Unit 4. Name: Geometry Unit 4 Congruent Triangles Name: 1 Geometry Chapter 4 Congruent Triangles ***In order to get full credit for your assignments they must me done on time and you must SHOW ALL WORK. *** 1. (4-1)

More information

Similar Triangles or Not?

Similar Triangles or Not? Similar Triangles or Not? Similar Triangle Theorems.2 Learning Goals In this lesson, you will: Use constructions to explore similar triangle theorems. xplore the Angle-Angle (AA) Similarity Theorem. xplore

More information

Good morning! Get out, Activity: Informal Triangle Congruence and a writing utensil.

Good morning! Get out, Activity: Informal Triangle Congruence and a writing utensil. Good morning! Get out, Activity: Informal Triangle Congruence and a writing utensil. AGENDA: 1) Compare and Discussion Activity: Informal Triangle Congruence o informal inductive 2) Activity: Deductive

More information

Chapter 4 Triangles: Congruency & Similarity

Chapter 4 Triangles: Congruency & Similarity 1 Chapter 4 Triangles: Congruency & Similarity Concepts & Skills Quilting is a great American pastime especially in the heartland of the United States. Quilts can be simple in nature or as in the photo

More information

Unit 3: Triangles and Polygons

Unit 3: Triangles and Polygons Unit 3: Triangles and Polygons Background for Standard G.CO.9: Prove theorems about triangles. Objective: By the end of class, I should Example 1: Trapezoid on the coordinate plane below has the following

More information

no triangle can have more than one right angle or obtuse angle.

no triangle can have more than one right angle or obtuse angle. Congruence Theorems in Action Isosceles Triangle Theorems.3 Learning Goals In this lesson, you will: Prove the Isosceles Triangle Base Theorem. Prove the Isosceles Triangle Vertex Angle Theorem. Prove

More information

Similar Triangles Project (Major grade)

Similar Triangles Project (Major grade) Similar Triangles Project (Major grade) Due 5/1 You will create a picture of a noun with at least 18 triangles (similar triangles) on an 11in X 14in poster board or construction paper. Make sure you include

More information

Classify Triangles. by the Angle Measure &The Side Lengths. Properties a SCALENE Triangle angles 1.Sum of the interior

Classify Triangles. by the Angle Measure &The Side Lengths. Properties a SCALENE Triangle angles 1.Sum of the interior Classify s by the Angle Measure &The Side Lengths Foldable Resource & Reference Properties a SCALENE angles 1.Sum of the interior equals. 180 2. The measure of each is side length is. different Note: If

More information

Given points A(x 1, y 1 ) and B(x 2, y 2 ) are points on the coordinate plane, then the distance between A and B is: AB =

Given points A(x 1, y 1 ) and B(x 2, y 2 ) are points on the coordinate plane, then the distance between A and B is: AB = Name Date Block Preparing for the Semester Exam Use notes, homework, checkpoints, quizzes, tests, online textbook resources (see link on my web page). If you lost any of the notes, reprint them from my

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

CHAPTER FOUR TRIANGLE CONGRUENCE. Section 4-1: Classifying Triangles

CHAPTER FOUR TRIANGLE CONGRUENCE. Section 4-1: Classifying Triangles CHAPTER FOUR TRIANGLE CONGRUENCE 1 Name Section 4-1: Classifying Triangles LT 1 I can classify triangles by their side lengths and their angles. LT 2 I will use triangle classification to find angle measures

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

Transformations and Congruence Test 2 Review

Transformations and Congruence Test 2 Review Transformations and Congruence Test 2 Review 1.To understand the different transformations: Be able to define and understand transformations (rotation, reflection, dilation, translation, glide reflection,

More information

NAME: DATE: PERIOD: 1. Find the coordinates of the midpoint of each side of the parallelogram.

NAME: DATE: PERIOD: 1. Find the coordinates of the midpoint of each side of the parallelogram. NAME: DATE: PERIOD: Geometry Fall Final Exam Review 2017 1. Find the coordinates of the midpoint of each side of the parallelogram. My Exam is on: This review is due on: 2. Find the distance between the

More information

BA#2 Review Questions Answers will be online. 1. Using the picture below, determine which of the following conjectures is valid?

BA#2 Review Questions Answers will be online. 1. Using the picture below, determine which of the following conjectures is valid? # Review Questions nswers will be online 1. Using the picture below, determine which of the following conjectures is valid? (.) 70 N 30 T T is the longest side in NT N is the longest side in NT NT is the

More information

H.Geometry Chapter 4 Definition Sheet

H.Geometry Chapter 4 Definition Sheet Section 4.1 Triangle Sum Theorem The sum of the measure of the angles in a triangle is Conclusions Justification Third Angle Theorem If two angles in one triangle are to two angles in another triangle,

More information

Geometry ~ Unit 4

Geometry ~ Unit 4 Title Quadrilaterals and Coordinate Proof CISD Safety Net Standards: G.5A Big Ideas/Enduring Understandings Module 9 Properties of quadrilaterals can be used to solve real-world problems. Suggested Time

More information

Did you say transformations or transformers?

Did you say transformations or transformers? Did you say transformations or transformers? Tamara Bonn Indian Springs High School-SBCUSD Tamara.bonn@sbcusd.k12.ca.us 1 Standards: Geometry: Understand congruence and similarity using physical models,

More information

Proof: Given ABC XYZ, with A X, B Y, and Our strategy is to show C Z and apply ASA. So, WLOG, we assume for contradiction that m C > m Z.

Proof: Given ABC XYZ, with A X, B Y, and Our strategy is to show C Z and apply ASA. So, WLOG, we assume for contradiction that m C > m Z. Theorem: AAS Congruence. If under some correspondence, two angles and a side opposite one of the angles of one triangle are congruent, respectively, to the corresponding two angles and side of a second

More information

UNIT 5 SIMILARITY AND CONGRUENCE

UNIT 5 SIMILARITY AND CONGRUENCE UNIT 5 SIMILARITY AND CONGRUENCE M2 Ch. 2, 3, 4, 6 and M1 Ch. 13 5.1 Parallel Lines Objective When parallel lines are cut by a transversal, I will be able to identify angle relationships, determine whether

More information

Lesson 22: Congruence Criteria for Triangles SAS

Lesson 22: Congruence Criteria for Triangles SAS Student Outcomes Students learn why any two triangles that satisfy the SAS congruence criterion must be congruent. Lesson Notes In, we begin to investigate criteria, or the indicators, of triangle congruence.

More information

Chapter 4 Congruent Triangles Osceola High School

Chapter 4 Congruent Triangles Osceola High School We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with chapter 4 congruent

More information

TESSELLATION PROJECT DIRECTIONS

TESSELLATION PROJECT DIRECTIONS TESSELLATION PROJECT DIRECTIONS You are to create a tessellation portfolio. In addition to your portfolio, you will be making your own tessellation masterpiece. Your tessellation will be created based

More information

Exploring Congruent Triangles

Exploring Congruent Triangles Lesson 9 Lesson 9, page 1 of 7 Glencoe Geometry Chapter 4.3, 4.4, 4.5 Exploring Congruent Triangles By the end of this lesson, you should be able to 1. Name and Label corresponding parts of congruent triangles.

More information

Lesson 4. Classifying Triangles

Lesson 4. Classifying Triangles Lesson 4 Classifying Triangles Art Sculptures Sculptures are used as symbols for a message to those that view and admire the work. This sculpture is called Consophia and was created by Ian Lazarus to represent

More information

Unit 2. Properties of Triangles. Unit Bundle

Unit 2. Properties of Triangles. Unit Bundle Unit 2 Properties of Triangles Unit Bundle Math 2 Spring 2017 1 Day Topic Homework Monday 2/6 Triangle Angle Sum Tuesday 2/7 Wednesday 2/8 Thursday 2/9 Friday 2/10 (Early Release) Monday 2/13 Tuesday 2/14

More information

Geometry-CCSSM Module B Similarity, Trigonometry and Proof Summary 1

Geometry-CCSSM Module B Similarity, Trigonometry and Proof Summary 1 1 Module Overview In this inquiry module, students apply their earlier experience with dilations and proportional reasoning to build a formal understanding of similarity. They identify criteria for similarity

More information

Practice Test - Chapter 4. Classify each triangle as acute, equiangular, obtuse, or right.

Practice Test - Chapter 4. Classify each triangle as acute, equiangular, obtuse, or right. Classify each triangle as acute, equiangular, obtuse, or right. 1. Since has three congruent sides, it has three congruent angles. Therefore it is equiangular (and equilateral). 2. is a right triangle,

More information

Lesson 1.9.1: Proving the Interior Angle Sum Theorem Warm-Up 1.9.1

Lesson 1.9.1: Proving the Interior Angle Sum Theorem Warm-Up 1.9.1 NME: SIMILRITY, CONGRUENCE, ND PROOFS Lesson 9: Proving Theorems bout Triangles Lesson 1.9.1: Proving the Interior ngle Sum Theorem Warm-Up 1.9.1 When a beam of light is reflected from a flat surface,

More information

G-SRT Congruent and Similar

G-SRT Congruent and Similar G-SRT Congruent and Similar Triangles Alignments to Content Standards: G-SRT.A.2 Task ABC DEF m( A) = m( D) m( B) = m( E) a. In triangles and below, and. AB = DE Find a sequence of translations, rotations,

More information

L9 Congruent Triangles 9a Determining Congruence. How Do We Compare?

L9 Congruent Triangles 9a Determining Congruence. How Do We Compare? How Do We Compare? Using patty paper, compare the sides and angles of the following triangle pairs. Record what is the same for each pair and what is different. 1. What is common? What is different? Is

More information

Discovery Activity & Practice

Discovery Activity & Practice Discovery Activity & Practice For the inquiry activity, there are two options. Choose the 2- page version (pages 12-13) for students who need more workspace and extra guidance. For Warm-Up B, choose

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

Semester Test Topic Review. Correct Version

Semester Test Topic Review. Correct Version Semester Test Topic Review Correct Version List of Questions Questions to answer: What does the perpendicular bisector theorem say? What is true about the slopes of parallel lines? What is true about the

More information

SUGGESTED LEARNING STRATEGIES:

SUGGESTED LEARNING STRATEGIES: Lesson 22-2 ACTIVITY 22 Learning Targets: Classify angles by their measures. Classify triangles by their angles. Recognize the relationship between the lengths of sides and measures of angles in a triangle.

More information

Discovering Congruent Triangles Activity. Objective: Understanding congruent triangle postulates and theorems using inductive reasoning.

Discovering Congruent Triangles Activity. Objective: Understanding congruent triangle postulates and theorems using inductive reasoning. Discovering Congruent Triangles Activity Objective: Understanding congruent triangle postulates and theorems using inductive reasoning. Materials needed: noodles, protractor, ruler, and construction paper

More information

Life is what you make it. Mr. H s dad

Life is what you make it. Mr. H s dad Life is what you make it. Mr. H s dad You can classify triangles by if their sides are congruent. Scalene Triangle This triangle has no congruent sides. Isosceles Triangle This triangle has at least 2

More information

Theorems, Postulates, and Properties for Use in Proofs

Theorems, Postulates, and Properties for Use in Proofs CP1 Math 2 Name Unit 1: Deductive Geometry: Day 21-22 Unit 1 Test Review Students should be able to: Understand and use geometric vocabulary and geometric symbols (,,, etc) Write proofs using accurate

More information

Geometry Regular Midterm Exam Review (Chapter 1, 2, 3, 4, 7, 9)

Geometry Regular Midterm Exam Review (Chapter 1, 2, 3, 4, 7, 9) Geometry Regular Midterm Exam Review (Chapter 1, 2, 3, 4, 7, 9) Name: Date: Mod: Use the figure at the right for #1-4 1. What is another name for plane P? A. plane AE B. plane A C. plane BAD D. plane BAC

More information

Determine which congruence criteria can be used to show that two triangles are congruent.

Determine which congruence criteria can be used to show that two triangles are congruent. Answers Teacher Copy Lesson 11-1: Congruent Triangles Lesson 11-2 Congruence Criteria Learning Targets p. 147 Develop criteria for proving triangle congruence. Determine which congruence criteria can be

More information

2. What are the measures of the 3 angles in the second triangle? 3. What is the relationship between the angles of each triangle?

2. What are the measures of the 3 angles in the second triangle? 3. What is the relationship between the angles of each triangle? Discovering Congruent Triangles Activity Objective: Understanding congruent triangle postulates and theorems using inductive reasoning. Materials needed: straws, protractor, ruler, and construction paper

More information

Chapter 4. Triangles and Congruence

Chapter 4. Triangles and Congruence Chapter 4 Triangles and Congruence 4.1 Apply Triangle Sum Properties 4.2 Apply Congruence and Triangles 4.3 Prove Triangles Congruent by SSS 4.4 Prove Triangles Congruent by SAS and HL 4.5 Prove Triangles

More information

Congruence. CK-12 Kaitlyn Spong. Say Thanks to the Authors Click (No sign in required)

Congruence. CK-12 Kaitlyn Spong. Say Thanks to the Authors Click   (No sign in required) Congruence CK-12 Kaitlyn Spong Say Thanks to the Authors Click http://www.ck12.org/saythanks (No sign in required) To access a customizable version of this book, as well as other interactive content, visit

More information

Glen Ridge Public Schools Mathematics Curriculum

Glen Ridge Public Schools Mathematics Curriculum Glen Ridge Public Schools Mathematics Curriculum Course Title: Applied Geometry Subject: Mathematics Grade Level:10/11 Duration:1 year Prerequisite: Algebra I Elective or Required: Elective Mathematics

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

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

Unit 1 Day 9. Triangle Congruence & CPCTC Using Triangle Sum Theorem

Unit 1 Day 9. Triangle Congruence & CPCTC Using Triangle Sum Theorem Unit 1 Day 9 Triangle Congruence & CPCTC Using Triangle Sum Theorem 1 Warm Up ABC and PQR are shown below in the coordinate plane: a. Show that ABC is congruent to PQR with a reflection followed by a translation.

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 CP. Unit 4 (Congruency of Triangles) Notes

Geometry CP. Unit 4 (Congruency of Triangles) Notes Geometry CP Unit 4 (Congruency of Triangles) Notes S 4.1 Congruent Polygons S Remember from previous lessons that is something is congruent, that it has the same size and same shape. S Another way to look

More information

Good Luck Grasshopper.

Good Luck Grasshopper. ANGLES 1 7 th grade Geometry Discipline: Orange Belt Training Order of Mastery: Constructions/Angles 1. Investigating triangles (7G2) 4. Drawing shapes with given conditions (7G2) 2. Complementary Angles

More information

CURRICULUM MAP. Process/Skills Activities. 1. Know basic Geometric terms. 2. Use Distance Formula. 3. Use Angle Addition Postulate

CURRICULUM MAP. Process/Skills Activities. 1. Know basic Geometric terms. 2. Use Distance Formula. 3. Use Angle Addition Postulate Course: Geometry 1-2 August G.CO.1 G.CO.12 G.CO.2 G.CO.9 G.GPE.7 G.MG.1 G.MG.2 1. Basic Terms and Construction 2. Distance Formula 3. Angles 4. Angle Bisectors 5. Midpoint Formula 6. Perimeter and Area

More information

Northside High School Geometry Curriculum

Northside High School Geometry Curriculum Unit 4: Congruency & Similarity Unit Length: 20 days Domain: Cluster 2: Understand congruence in terms of rigid motions. Cluster 7: Apply and prove theorems involving similarity. Standards: *HSG.CO.B.7:

More information

H Geo Final Review Packet Multiple Choice Identify the choice that best completes the statement or answers the question.

H Geo Final Review Packet Multiple Choice Identify the choice that best completes the statement or answers the question. H Geo Final Review Packet Multiple Choice Identif the choice that best completes the statement or answers the question. 1. Which angle measures approximatel 7?.. In the figure below, what is the name of

More information

Geometry Unit & Lesson Overviews Mathematics. Unit: 1.1 Foundations of Geometry Days : 8

Geometry Unit & Lesson Overviews Mathematics. Unit: 1.1 Foundations of Geometry Days : 8 Unit: 1.1 Foundations of Geometry Days : 8 How do you use undefined terms as the basic elements of Geometry? What tools and methods can you use to construct and bisect segments and angles? How can you

More information

NOTES: TRANSFORMATIONS

NOTES: TRANSFORMATIONS TABLE OF CONTENT Plotting Points On A Coordinate Plane. Transformations. Translation. Reflections. Rotations Dilations. Congruence And Similarity.. Multiple Transformations In A Coordinate Plane. Parallel

More information

Performance Objectives Develop dictionary terms and symbols

Performance Objectives Develop dictionary terms and symbols Basic Geometry Course Name: Geometry Unit: 1 Terminology & Fundamental Definitions Time Line: 4 to 6 weeks Building Blocks of Geometry Define & identify point, line, plane angle, segment, ray, midpoint,

More information

INSIDE the circle. The angle is MADE BY. The angle EQUALS

INSIDE the circle. The angle is MADE BY. The angle EQUALS ANGLES IN A CIRCLE The VERTEX is located At the CENTER of the circle. ON the circle. INSIDE the circle. OUTSIDE the circle. The angle is MADE BY Two Radii Two Chords, or A Chord and a Tangent, or A Chord

More information

Geometry Third Quarter Study Guide

Geometry Third Quarter Study Guide Geometry Third Quarter Study Guide 1. Write the if-then form, the converse, the inverse and the contrapositive for the given statement: All right angles are congruent. 2. Find the measures of angles A,

More information

PreAP FDN PARALLEL LINES & 2.2 ANGLES IN PARALLEL LINES

PreAP FDN PARALLEL LINES & 2.2 ANGLES IN PARALLEL LINES PreAP FDN 20 2.1 PARALLEL LINES & 2.2 ANGLES IN PARALLEL LINES Congruent Vs Equal: Congruence is a relationship of shapes and sizes, such as segments, triangles, and geometrical figures, while equality

More information

Unit Activity Answer Sheet

Unit Activity Answer Sheet Geometry Unit Activity Answer Sheet Unit: Congruence, Proof, and Constructions This Unit Activity will help you meet these educational goals: Mathematical Practices You will reason abstractly and quantitatively

More information

Course: Geometry Level: Regular Date: 11/2016. Unit 1: Foundations for Geometry 13 Days 7 Days. Unit 2: Geometric Reasoning 15 Days 8 Days

Course: Geometry Level: Regular Date: 11/2016. Unit 1: Foundations for Geometry 13 Days 7 Days. Unit 2: Geometric Reasoning 15 Days 8 Days Geometry Curriculum Chambersburg Area School District Course Map Timeline 2016 Units *Note: unit numbers are for reference only and do not indicate the order in which concepts need to be taught Suggested

More information

Ch 4 Review Problems pp #7 36, 48,51,52 due MONDAY 12/12

Ch 4 Review Problems pp #7 36, 48,51,52 due MONDAY 12/12 Geometry 4.4 4.6 ongruence Proofs ecember 08, 2016 h 4 Review Problems pp.176 180 #7 36, 48,51,52 due MONY 12/12 h 5 Review Problems pp. 206 209 #15 50 h 6 Review Problems pp. 250 254 #9 19, 33 53 4.2

More information

Welcome! U2H6: Worksheet Congruence Criteria (0/2/6 due Wednesday) Updates: Unit 2 Quiz 2 will be 11/1

Welcome! U2H6: Worksheet Congruence Criteria (0/2/6 due Wednesday) Updates: Unit 2 Quiz 2 will be 11/1 Welcome! U2H6: Worksheet Congruence Criteria (0/2/6 due Wednesday) Updates: Unit 2 Quiz 2 will be 11/1 Agenda 1 Collect EA (2 nd period) 2 Warm-Up! 3 Review U2H5 4 Congruence Criteria Activity 5 Congruence

More information

Common core standards from Grade 8 Math: General categories/domain:

Common core standards from Grade 8 Math: General categories/domain: Common core standards from Grade 8 Math: General categories/domain: 1. Ratio and Proportional Relationship (5 %) 2. Then Number System (5 %) 3. Expressions and Equations (25%) 4. (25 %) 5. Geometry (20

More information

Geometry Fall Final Review 2016

Geometry Fall Final Review 2016 Geometry Fall Final Review 2016 Name: Per: The Fall Final Exam will count as 25% of your semester average that is as much as an entire 6 weeks avg! *Review Problems: In order to be fully prepared for AND

More information

Killingly Public Schools. Grades Draft Sept. 2002

Killingly Public Schools. Grades Draft Sept. 2002 Killingly Public Schools Grades 10-12 Draft Sept. 2002 ESSENTIALS OF GEOMETRY Grades 10-12 Language of Plane Geometry CONTENT STANDARD 10-12 EG 1: The student will use the properties of points, lines,

More information

Study Guide - Chapter 6

Study Guide - Chapter 6 8 th Grade Name Date Period Study Guide - Chapter 6 1) Label each quadrant with I, II, III, or IV. 2) Use your knowledge of rotations to name the quadrant that each point below will land in after the rotation

More information

Honors Geometry Syllabus CHS Mathematics Department

Honors Geometry Syllabus CHS Mathematics Department 1 Honors Geometry Syllabus CHS Mathematics Department Contact Information: Parents may contact me by phone, email or visiting the school. Teacher: Mr. Seth Moore Email Address: seth.moore@ccsd.us or seth.moore@students.ccsd.us

More information

The SAS Postulate requires the same information as the LL Theorem, so it can be used to prove two right triangles congruent.

The SAS Postulate requires the same information as the LL Theorem, so it can be used to prove two right triangles congruent. State whether each sentence is or false. If false, replace the underlined word or phrase to make a sentence. 1. The vertex angles of an isosceles triangle are false; The base angles of an isosceles triangle

More information

Extra Practice 1. Name Date. Lesson 1: Exploring Triangles

Extra Practice 1. Name Date. Lesson 1: Exploring Triangles Master 6.36 Extra Practice 1 Lesson 1: Exploring Triangles 1. Draw 3 different triangles. Measure and label the side lengths. Name each triangle as equilateral, isosceles, or scalene. 2. Name each triangle

More information

Name Date Teacher Practice A

Name Date Teacher Practice A Practice A Triangles Identify each triangle by its angles and sides. 1. 2. 3. Find each angle measure. 4. Find x in the acute 5. Find y in the right 6. Find r in the obtuse 7. Find x in the acute 8. Find

More information

1) Draw line m that contains the points A and B. Name two other ways to name this line.

1) Draw line m that contains the points A and B. Name two other ways to name this line. 1) Draw line m that contains the points A and B. Name two other ways to name this line. 2) Find the next 3 terms in the sequence and describe the pattern in words. 1, 5, 9, 13,,, 3) Find the next 3 terms

More information

The SAS Postulate requires the same information as the LL Theorem, so it can be used to prove two right triangles congruent.

The SAS Postulate requires the same information as the LL Theorem, so it can be used to prove two right triangles congruent. State whether each sentence is or false. If false, replace the underlined word or phrase to make a sentence. 1. The vertex angles of an isosceles triangle are false; The base angles of an isosceles triangle

More information

UNIT PLAN. Big Idea/Theme: Polygons can be identified, classified, and described.

UNIT PLAN. Big Idea/Theme: Polygons can be identified, classified, and described. UNIT PLAN Grade Level: 5 Unit #: 11 Unit Name Geometry Polygons Time: 15 lessons, 18 days Big Idea/Theme: Polygons can be identified, classified, and described. Culminating Assessment: (requirements of

More information

Question2: Which statement is true about the two triangles in the diagram?

Question2: Which statement is true about the two triangles in the diagram? Question1: The diagram shows three aid stations in a national park. Choose the values of x, y, and z that COULD represent the distances between the stations. (a) x = 7 miles, y = 8 miles, z = 18 miles

More information

Geometry Honors Unit 2: Transformations, Triangles & Congruence (Gr. 9-10)

Geometry Honors Unit 2: Transformations, Triangles & Congruence (Gr. 9-10) Geometry Honors Unit 2: Transformations, Triangles & Congruence (Gr. 9-10) Content Area: Course(s): Time Period: Length: Status: Mathematics Generic Course, Geometry 1st Marking Period 8 Weeks Published

More information

14. How many sides does a regular polygon have, if the measure of an interior angle is 60?

14. How many sides does a regular polygon have, if the measure of an interior angle is 60? State whether the figure is a polygon; if it is a polygon, state whether the polygon is convex or concave. HINT: No curves, no gaps, and no overlaps! 1. 2. 3. 4. Find the indicated measures of the polygon.

More information

Geometry/Trigonometry Summer Assignment

Geometry/Trigonometry Summer Assignment Student Name: 2017 Geometry/Trigonometry Summer Assignment Complete the following assignment in the attached packet. This is due the first day of school. Bring in a copy of your answers including ALL WORK

More information

1. SSS (side, side, side)

1. SSS (side, side, side) CONGRUNT TRIANGLS If one shape can become another using Turns, Flips and/or Slides, then the shapes are Congruent ROTATION / TURN RFLCTION / FLIP TRANSLATION/SLID After any of those transformation (turn,

More information

Georgia Department of Education Common Core Georgia Performance Standards Framework Fourth Grade Mathematics Unit 6

Georgia Department of Education Common Core Georgia Performance Standards Framework Fourth Grade Mathematics Unit 6 PRACTICE TASK: My Many Triangles Adapted from Van De Walle, J.A., Karp, K. S., & Bay-Williams, J. M. (2010). Elementary and Middle School Mathematics: Teaching Developmentally 7 th Ed. Boston: Pearson

More information