Transformations with Matrices Moved by Matrices
|
|
- Suzanna Powers
- 6 years ago
- Views:
Transcription
1 Transformations with Matrices SUGGESTED LEARNING STRATEGIES: Interactive Word Wall, Marking the Text, Summarize/Paraphrase/Retell, Think/Pair/Share, Create Representations ACTIVITY 5.7 Instead of using real events, movie and television special effects are often computer generated. Often these effects are created through the use of simple images enhanced with transformations or complex images broken down into polygons which are then transformed. Computers use matrices to translate, reflect, and dilate images. A matrix is a rectangular array of numbers. Matrices are described using the number of rows first and then the number of columns. These are the dimensions of the matrix. For example, is a matrix. 7 Ordered pairs (x, y) can be expressed using a column matrix in the form x y. ACADEMIC VOCABULARY matrix MATH TERMS A column matrix is a matrix with only one column. 1. Write a column matrix for the ordered pair ( 3, 5) and state the dimensions. In a polygon, the ordered pairs that represent the vertices can all be placed into the columns of a matrix, resulting in a vertex matrix.. The quadrilateral ABCD has vertices A( 3, ), B(0, ), C(3, ) and D(0, 1). MATH TERMS A vertex matrix is a matrix containing the vertices of a polygon. a. Write a vertex matrix for ABCD. b. Label each column with the vertex it represents. c. What does each row in your vertex matrix represent? 3. State the type of polygon and the vertices represented in the following vertex matrix Unit 5 Coordinate Geometry and Transformations 395
2 ACTIVITY 5.7 Transformations with Matrices SUGGESTED LEARNING STRATEGIES: Think/Pair/Share, Create Representations Transformations of polygons can also be represented by matrices. B C D. Use pentagon ABCDE below to answer parts a h. a. Write the vertex matrix for pentagon ABCDE (preimage) A E b. Give the matrix that results from adding 3 to each x-coordinate and to each y-coordinate. c. State the vertices represented in this new matrix. d. Graph and label the resulting polygon (image) on the same set of axes as pentagon ABCDE. e. What type of transformation took place to create the image? To be added or subtracted, two matrices must have the same dimensions. 1 = f. What dimensions should any matrix added to your vertex matrix have? g. Write the matrix that was added to the vertex matrix of pentagon ABCDE to create the image. h. Write the matrix that would be added to the vertex matrix of pentagon ABCDE to create an image 5 units to the left and 3 units up from the preimage. 39 SpringBoard Mathematics with Meaning Geometry
3 Transformations with Matrices ACTIVITY 5.7 SUGGESTED LEARNING STRATEGIES: Think/Pair/Share, Create Representations 5. Use GHI shown to the right to answer parts a g. a. Write the vertex matrix for GHI. H b. Multiply each element of the vertex matrix by. G I Write the new matrix. c. State the vertices represented in this new matrix. MATH TERMS An element of a matrix is a number in the matrix. d. Graph the image on the same set of axes as preimage GHI. e. What type of transformation took place to create the image? f. What is the relationship between the perimeter of the image and the perimeter of the preimage? g. What would need to be done to the vertex matrix of preimage GHI to create an image with a perimeter one half as large as that of GHI? Unit 5 Coordinate Geometry and Transformations 397
4 ACTIVITY 5.7 Transformations with Matrices SUGGESTED LEARNING STRATEGIES: Think/Pair/Share, Create Representations, Look for a Pattern. Use MNO to answer parts a g. y M N O x TECHNOLOGY a. Write the vertex matrix for MNO A graphing calculator can be used to multiply matrices. b. Multiply the matrix 1 resulting matrix by the vertex matrix. Write the c. Which numbers in the product matrix stayed the same? d. Which numbers in the product matrix changed? e. Graph the image on the same set of axes as preimage MNO. f. What type of transformation took place to create the image? Be specific. 39 SpringBoard Mathematics with Meaning Geometry
5 Transformations with Matrices ACTIVITY 5.7 SUGGESTED LEARNING STRATEGIES: Think/Pair/Share, Create Representations, Look for a Pattern, Quickwrite, Self/Peer Revision 7. Use MNO to answer parts a e. y M N O x a. Multiply the matrix resulting matrix by the vertex matrix. Write the 1 b. Which numbers in the product matrix stayed the same? c. Which numbers in the product matrix changed? d. Graph the image on the same set of axes as preimage MNO. e. What type of transformation took place to create the image? Be specific.. Compare and contrast the matrices used to transform the vertex matrices and the product matrices in items b and 7a. Explain how the placement of the 1 affected the transformation of each of the preimages. Unit 5 Coordinate Geometry and Transformations 399
6 ACTIVITY 5.7 Transformations with Matrices SUGGESTED LEARNING STRATEGIES: Interactive Word Wall, Create Representations, Look for a Pattern, Identify a Subtask 9. Use PQR to answer parts a d. y Q P R x WRITING MATH Recall that prime and double prime notation indicate corresponding parts of congruent or similar figures. In PQR and P'Q'R', P' corresponds to P, Q' corresponds to Q and R' corresponds to R. In P'Q'R' and P"Q"R", P" corresponds to P', Q" corresponds to Q' and R" corresponds to R'. MATH TERMS The combination of two reflections, one over the x-axis and one over the y-axis is also referred to as a reflection over the origin. a. Write the vertex matrix for PQR. b. Use matrix multiplication to reflect PQR in the x-axis. State the matrix you used for this reflection and graph the image. Label the image P'Q'R'. c. Use matrix multiplication to reflect P'Q'R' in the y-axis. State the matrix you used for this reflection and graph the image. Label the image P"Q''R''. d. The transformation from PQR to P''Q''R'' can be accomplished in one step by multiplying the preimage by a single matrix. Write the matrix you think should be used. Justify your answer. 00 SpringBoard Mathematics with Meaning Geometry
7 Transformations with Matrices ACTIVITY 5.7 SUGGESTED LEARNING STRATEGIES: Think/Pair/Share. Multiply each of the following matrices by the vertex matrix of EFG, graph the image, and describe the direction and angle of rotation about the origin that results from each. a y E F b c G x 11. Use your answers from Items to determine what matrix operation is needed to perform each of the following transformations on a vertex matrix for a quadrilateral. Be specific. a. dilation by a scale factor of 5 b. reflection in the origin c. rotation 90 clockwise about the origin d. reflection over the x-axis Unit 5 Coordinate Geometry and Transformations 01
8 ACTIVITY 5.7 Transformations with Matrices SUGGESTED LEARNING STRATEGIES: Think/Pair/Share e. rotation 10 counterclockwise about the origin f. translation right 5 units and down units g. rotation 70 clockwise about the origin h. reflection over the y-axis CHECK YOUR UNDERSTANDING Write your answers on notebook paper. Show your work. 1. A game designer is creating a graphic by transforming various polygons. He begins with GHI having G(-3, 5), H(, ), and I(7, 5). a. Use a matrix to find the coordinates of the image after he rotates the triangle 90 clockwise about the origin. Show the matrices you used.. MATHEMATICAL REFLECTION a. Write a matrix that could be used to reflect a polygon over the line y = x. Explain your answer. b. Write a matrix that could be used to reflect a polygon over the line y = x. Explain your answer. b. What would be the coordinates of the image if he decided to enlarge the preimage to 3 times its initial size and then translate it up units and 5 units left? Show the matrices that you used to find your answer. 0 SpringBoard Mathematics with Meaning Geometry
Translations, Reflections, and Rotations
* Translations, Reflections, and Rotations Vocabulary Transformation- changes the position or orientation of a figure. Image- the resulting figure after a transformation. Preimage- the original figure.
More informationTransformations on the Coordinate Plane Halftime Salute
Transformations on the Coordinate Plane SUGGESTED LEARNING STRATEGIES: Questioning the Text, Shared Reading, Visualization ACTIVITY.1 To boost school spirit and get students excited about geometry, the
More informationChapters 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 information4-1 Congruence and Transformations
4-1 Congruence and Transformations Warm Up Lesson Presentation Lesson Quiz Holt Geometry McDougal Geometry Objectives Draw, identify, and describe transformations in the coordinate plane. Use properties
More informationMath 9: Chapter Review Assignment
Class: Date: Math 9: Chapter 7.5-7.7 Review Assignment Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Which shapes have at least 2 lines of symmetry?
More informationR(-14, 4) R'(-10, -2) S(-10, 7) S'(-6, 1) T(-5, 4) T'(-1, -2)
1 Transformations Formative Assessment #1 - Translation Assessment Cluster & Content Standards What content standards can be addressed by this formative assessment? 8.G.3 Describe the effect of dilations
More informationName Hr. Honors Geometry Lesson 9-1: Translate Figures and Use Vectors
Name Hr Honors Geometry Lesson 9-1: Translate Figures and Use Vectors Learning Target: By the end of today s lesson we will be able to successfully use a vector to translate a figure. Isometry: An isometry
More informationMy Notes CONNECT TO SCIENCE. Horticulture is the science and art of growing fruit, flowers, ornamental plants, and vegetables.
SUGGESTED LEARNING STRATEGIES: Summarize/Paraphrase/ Retell, Use Manipulatives, Activating Prior Knowledge, Self/ Peer Revision The Horticulture Club has been given some land to build a greenhouse. The
More informationUnit 14: Transformations (Geometry) Date Topic Page
Unit 14: Transformations (Geometry) Date Topic Page image pre-image transformation translation image pre-image reflection clockwise counterclockwise origin rotate 180 degrees rotate 270 degrees rotate
More informationIs there a different way to get the same result? Did we give enough information? How can we describe the position? CPM Materials modified by Mr.
Common Core Standard: 8.G.3 Is there a different way to get the same result? Did we give enough information? How can we describe the position? CPM Materials modified by Mr. Deyo Title: IM8 Ch. 6.2.1 What
More informationChapter 2: Transformations. Chapter 2 Transformations Page 1
Chapter 2: Transformations Chapter 2 Transformations Page 1 Unit 2: Vocabulary 1) transformation 2) pre-image 3) image 4) map(ping) 5) rigid motion (isometry) 6) orientation 7) line reflection 8) line
More informationGeometry Transformations
Geometry Transformations NAME Period 1 Transformations Notes Transformation: Maps an, called a, onto a final, called an. Reflection: a transformation representing a of a figure Reflecting over the x-axis,
More informationHandout 1: Viewing an Animation
Handout 1: Viewing an Animation Answer the following questions about the animation your teacher shows in class. 1. Choose one character to focus on. Describe this character s range of motion and emotions,
More informationGRADE 8 ADAPTED NJDOE ASSESSMENT. Assessed Standards: 8.G.1 8.G.2 8.G.3 8.G.4 8.G.5. (To be administered after NPS Grade 8 Scope and Sequence Unit 2)
ADAPTED NJDOE ASSESSMENT GRADE 8 (To be administered after NPS Grade 8 Scope and Sequence Unit 2) Assessed Standards: 8.G.1 8.G.2 8.G.3 8.G.4 8.G.5 The Newark Public Schools - Office of Mathematics 2013
More information4-7 Study Guide and Intervention Congruence Transformations
4-7 Study Guide and Intervention Congruence Transformations Identify Congruence Transformations A congruence transformation is a transformation where the original figure, or preimage, and the transformed
More informationUnit 1 Test Review: Transformations in the Coordinate Plane
Unit 1 Test Review: Transformations in the Coordinate Plane 1. As shown in the diagram below, when hexagon ABCDEF is reflected over line m, the image is hexagon A B C D E F. Under this transformation,
More information1.1. Real Number System Numbers, Numbers,... My Notes ACTIVITY
Real Number System Numbers, Numbers,... SUGGESTED LEARNING STRATEGIES: Activating Prior Knowledge, Graphic Organizer, Quickwrite, Think/Pair/Share Your teacher will use a Venn diagram to help you understand
More informationUnit 1 Transformations in the Coordinate Plane
Unit 1 Transformations in the Coordinate Plane Table of Contents Title Page # Formula Sheet...2 Lesson 1 1: Introduction to Transformations and Rotations 3 Lesson 1 2: Reflections and Translations..9 Lesson
More informationName: Unit 7 Beaumont Middle School 8th Grade, Introduction to Algebra
Unit 7 Beaumont Middle School 8th Grade, 2015-2016 Introduction to Algebra Name: I can recognize and create reflections on a coordinate grid. I can recognize and create translations on a coordinate grid.
More informationCCM6+/7+ - Unit 13 - Page 1 UNIT 13. Transformations CCM6+/7+ Name: Math Teacher: Projected Test Date:
CCM6+/7+ - Unit 13 - Page 1 UNIT 13 Transformations CCM6+/7+ Name: Math Teacher: Projected Test Date: Main Idea Pages Unit 9 Vocabulary 2 Translations 3 10 Rotations 11 17 Reflections 18 22 Transformations
More informationName: Date: Per: WARM UP
Name: Date: Per: 6.1.1-6.1.3 WARM UP 6-23. In the last three lessons, you have investigated rigid transformations: reflections, rotations, and translations. 1. What happens to a shape when you perform
More informationUnit 7. Transformations
Unit 7 Transformations 1 A transformation moves or changes a figure in some way to produce a new figure called an. Another name for the original figure is the. Recall that a translation moves every point
More informationVolume and Surface Area of Rectangular Prisms All Boxed Up
Volume and Surface Area of Rectangular Prisms SUGGESTED LEARNING STRATEGIES: Activating Prior Knowledge, Use Manipulatives, Visualization, Group Presentation, Think/Pair/Share The shape in Figure is a
More informationChapter 12 Transformations: Shapes in Motion
Name Geometry Honors Date Per. Teacher Chapter 12 Transformations: Shapes in Motion 1 Table of Contents Reflections Day 1.... Page 3 Translations Day 2....... Page 10 Rotations/Dilations Day 3.... Page
More informationDate Target Assignment Done! 2.1 Quiz 2.2 Quiz 2.3 Quiz Unit 2 Test
Name Unit 2 Transformations Target 1: Identify and determine congruent parts given a rigid motion. Target 2: Perform and identify rigid transformations of points, segments, and figures. a. Perform and
More informationGiven ABC with A(-1, 1), B(2, 4), and C(4, 1). Translate ABC left 4 units and up 1 unit. a) Vertex matrix: b) Algebraic (arrow) rule:
Unit 7 Transformations 7 Rigid Motion in a Plane Transformation: The operation that maps, or moves, a preimage onto an image. Three basic transformations are reflection, rotation, and translation. Translation
More informationFor 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 informationButterflies, Pinwheels, and Wallpaper
Butterflies, Pinwheels, and Wallpaper Investigation #3: Transforming Coordinates Investigation #4: Dilations and Similar Figures Name Butterflies, Pinwheels and Wallpaper Investigation #3 Transforming
More informationUnit 5: Transformations in the Coordinate Plane
Unit 5: Transformations in the Coordinate Plane In this unit, students review the definitions of three types of transformations that preserve distance and angle: rotations, reflections, and translations.
More informationLine Symmetry a figure has line symmetry if the figure can be mapped onto itself by a reflection over a line drawn through the figure.
Geometry Unit 3 Transformations Test Review Packet Name: The Unit Test on Transformations contains the following topics: Isometries Translations Using Mapping Notation Using Vector Notation Naming Vectors,
More information1. For each transformation in the table below, indicate which properties are true by placing a check mark in every appropriate box.
Transformations Unit Review 1. For each transformation in the table below, indicate which properties are true by placing a check mark in every appropriate box. The image and preimage are congruent The
More informationSize Transformations in the Coordinate Plane
Size Transformations in the Coordinate Plane I.e. Dilations (adapted from Core Plus Math, Course 2) Concepts 21-26 Lesson Objectives In this investigation you will use coordinate methods to discover several
More informationSlammin Sammy. Name Date. Finger. Shoulder. Back. Toe. Heel
Name Date Slammin Sammy Finger Shoulder Back Toe Heel (0, 0) Fist 1. Give the coordinates of Sammy s six body parts: Finger (, ) Shoulder (, ) Back (, ) Toe (, ) Heel (, ) Fist (, ) Classroom Strategies
More informationH.Geometry Chapter 7 Definition Sheet
Section 7.1 (Part 1) Definition of: - A mapping of points in a figure to points in a resulting figure - Manipulating an original figure to get a new figure - The original figure - The resulting figure
More informationChapter 8 Transformations and Congruence
Lesson 8-1 Translations Page 559 Graph ABC with vertices A(1, 2), B(3, 1), and C(3, 4). Then graph the image of the triangle after it is translated 2 units left and 1 unit up, and write the coordinates
More informationName: 1) Which of the following properties of an object are not preserved under a rotation? A) orientation B) none of these C) shape D) size
Name: 1) Which of the following properties of an object are not preserved under a rotation? A) orientation B) none of these C) shape D) size 2) Under a certain transformation, A B C is the image of ABC.
More informationMath 8: Unit 2 Test Transformations
Name: Class: Date: ID: A Math 8: Unit 2 Test Transformations Match the vocabulary words down below with the correct definition. a. Translation f. Line of Symmetry b. Reflection g. Center of Rotation. c.
More informationTransformations. Write three rules based on what you figured out above: To reflect across the y-axis. (x,y) To reflect across y=x.
Transformations Geometry 14.1 A transformation is a change in coordinates plotted on the plane. We will learn about four types of transformations on the plane: Translations, Reflections, Rotations, and
More informationQuadrilaterals & Transformations Study Guide
s & Transformations Study Guide What do I need to know for the upcoming Summative Assessment? s Classifications and Properties of: o o Trapezoid o Kite o Parallelogram o Rhombus o Rectangle o Square The
More informationChapter 5. Transforming Shapes
Chapter 5 Transforming Shapes It is difficult to walk through daily life without being able to see geometric transformations in your surroundings. Notice how the leaves of plants, for example, are almost
More informationReflections and Rotations TEACHER NOTES
Math Objectives Rotate and reflect two-dimensional figures in a coordinate plane. Analyze the coordinates of numerous rotated and reflected figures to determine the rules of geometric transformations.
More informationChapter 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 informationTransformations. Transformations. Reflections. Rotations. Composition of Transformations
Reflections Rotations omposition of Transformations ongruence Transformations ilations Similarity Transformations Transformations Transformations transformation of a geometric figure is a mapping that
More informationSection 5: Introduction to Polygons Part 2
Section 5: Introduction to Polygons Part 2 Topic 1: Compositions of Transformations of Polygons Part 1... 109 Topic 2: Compositions of Transformations of Polygons Part 2... 111 Topic 3: Symmetries of Regular
More informationContent Standards G.CO.4 Develop definitions of rotations, reflections, and translations in terms of angles, circles, perpendicular lines, parallel
Content Standards G.CO.4 Develop definitions of rotations, reflections, and translations in terms of angles, circles, perpendicular lines, parallel lines, and line segments. G.CO.5 Given a geometric figure
More informationIn this translation, CDE is being translated to the right by the same length as segment AB. What do you think is true about CDE and C'D'E'?
A translation is nothing more than a geometric transformation that slides each point in a figure the same distance in the same direction In this translation, CDE is being translated to the right by the
More informationTransformations Geometry
Transformations Geometry Preimage the original figure in the transformation of a figure in a plane. Image the new figure that results from the transformation of a figure in a plane. Example: If function
More informationGeometry R. Unit 12 Coordinate Geometry. Day Classwork Day Homework Wednesday 3/7 Thursday 3/8 Friday 3/9
Geometry R Unit 12 Coordinate Geometry Day Classwork Day Homework Wednesday 3/7 Thursday 3/8 Friday 3/9 Unit 11 Test Review Equations of Lines 1 HW 12.1 Perimeter and Area of Triangles in the Coordinate
More informationChapter 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 informationName Date Class. component form.,
2-1 Translations Use the figure below to answer Problems 1 5. 1. Triangle RST is translated along vector ν to create the image R'S'T'. What are the coordinates of the vertices of the image? R' S' T' 2.
More informationGeometric Transformations: Translation:
Geometric Transformations: Translation: slide Reflection: Rotation: Dialation: mirror turn enlarge or reduce Notation: Pre-Image: original figure Image: after transformation. Use prime notation C A B C
More informationTransformations Worksheet. How many units and in which direction were the x-coordinates of parallelogram ABCD moved? C. D.
Name: Date: 1. Parallelogram ABCD was translated to parallelogram A B C D. 2. A shape is shown below. Which shows this shape transformed by a flip? A. B. How many units and in which direction were the
More informationCourse Guide (/8/teachers/teacher_course_guide.html) Print (/8/teachers/print_materials.html) LMS (/8
(http://openupresources.org)menu Close OUR Curriculum (http://openupresources.org) Professional Development (http://openupresources.org/illustrative-mathematics-professional-development) Implementation
More informationLesson 1. Unit 2 Practice Problems. Problem 2. Problem 1. Solution 1, 4, 5. Solution. Problem 3
Unit 2 Practice Problems Lesson 1 Problem 1 Rectangle measures 12 cm by 3 cm. Rectangle is a scaled copy of Rectangle. Select all of the measurement pairs that could be the dimensions of Rectangle. 1.
More informationReflections, Translations, and Dilations
Reflections, Translations, and Dilations Step 1: Graph and label the following points on your coordinate plane. A (2,2) B (2,8) C (8,8) D (8,2) Step 2: Step 3: Connect the dots in alphabetical order to
More informationUnit 3 Similarity Figures and Dilations
Unit 3 Similarity Figures and Dilations Date Target Assignment Done! M 9-25 3.1 3.1 Worksheet T 9-26 3.2 3.2 Worksheet W 9-27 3.1-3.2 3.1-3.2 Review Worksheet R 9-28 Quiz Quiz 3.1-3.2 F 9-29 3.3a 3.3a
More informationGeometry. Transformations. Slide 1 / 154 Slide 2 / 154. Slide 4 / 154. Slide 3 / 154. Slide 6 / 154. Slide 5 / 154. Transformations.
Slide 1 / 154 Slide 2 / 154 Geometry Transformations 2014-09-08 www.njctl.org Slide 3 / 154 Slide 4 / 154 Table of ontents click on the topic to go to that section Transformations Translations Reflections
More informationDate Target Assignment Done! W Review Worksheet. F 9-30 Project Cartoon Enlargement Project. T a 3.
Unit 3 Similar Figures and Dilations Target 1: Use proportions to identify lengths of corresponding parts in similar figures. Target 2: Perform and identify dilations. Target 3: Use sclae factor and similarity
More informationLesson 20: Exploiting the Connection to Cartesian Coordinates
: Exploiting the Connection to Cartesian Coordinates Student Outcomes Students interpret complex multiplication as the corresponding function of two real variables. Students calculate the amount of rotation
More informationLearning Log Title: CHAPTER 6: TRANSFORMATIONS AND SIMILARITY. Date: Lesson: Chapter 6: Transformations and Similarity
Chapter 6: Transformations and Similarity CHAPTER 6: TRANSFORMATIONS AND SIMILARITY Date: Lesson: Learning Log Title: Date: Lesson: Learning Log Title: Chapter 6: Transformations and Similarity Date: Lesson:
More informationShape & Space Part C: Transformations
Name: Homeroom: Shape & Space Part C: Transformations Student Learning Expectations Outcomes: I can describe and analyze position and motion of objects and shapes by Checking for Understanding identifying
More informationSet the Sails! Purpose: Overview. TExES Mathematics 4-8 Competencies. TEKS Mathematics Objectives.
Set the Sails! Purpose: Participants will use graphing technology to investigate reflections, translations, rotations, and sequences of reflections and translations in the coordinate plane. They will give
More informationUNIT 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 informationNorth Carolina Math 2 Transition Edition Unit 1 Assessment: Transformations
Name: Class: _ Date: _ North Carolina Math Transition Edition Unit 1 Assessment: Transformations Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Given
More informationSection 4: Introduction to Polygons Part 1
Section 4: Introduction to Polygons Part 1 Topic 1: Introduction to Polygons Part 1... 85 Topic 2: Introduction to Polygons Part 2... 88 Topic 3: ngles of Polygons... 90 Topic 4: Translation of Polygons...
More informationDate Target Assignment Done! W Review Worksheet. F 9-30 Project Cartoon Enlargement Project. T a 3.
Unit 3 Similar Figures and Dilations 2016-2017 Unit 3 Similar Figures and Dilations Target 1: Use proportions to identify lengths of corresponding parts in similar figures. Target 2: Perform and identify
More information12.4 Rotations. Learning Objectives. Review Queue. Defining Rotations Rotations
12.4. Rotations www.ck12.org 12.4 Rotations Learning Objectives Find the image of a figure in a rotation in a coordinate plane. Recognize that a rotation is an isometry. Review Queue 1. Reflect XY Z with
More informationADV Math 8 Unit 1 Study Guide Transformations, Congruence, & Similarity
Name Period ADV Math 8 Unit 1 Study Guide Transformations, Congruence, & Similarity MGSE8.G.1 Verify experimentally the properties of rotations, reflections, and translations: lines are taken to lines
More informationTransformations. Name: Period:
Transformations Name: Period: 2 Figures: Similar and ongruent 2 figures on the coordinate plane are either similar or congruent. Similar Figures ongruent Figures ~ Shapes are the same Shapes are the same
More informationReflections and Translations
Name: ate: 1. Parallelogram ABC was translated to parallelogram A B C. 2. Alyssa made the design shown below. How many units and in which direction were the x-coordinates of parallelogram ABC moved? A.
More informationUnit 1 NOTES Honors Math 2 1
Unit 1 NOTES Honors Math 2 1 Day 1: Introduction to Transformations and Translations Warm-Up: Prerequisite Skill: Graphing Lines Graph the following lines. 1) x = 2 2) y = 4 3) y = x (Hint: this is y =
More informationChinle USD CURRICULUM GUIDE. SUBJECT: Math GRADE: 5th TIMELINE: 4th QUARTER
Strand 1: Number and Number Sense PO 1. Determine equivalence by converting between benchmark fractions, decimals, and percents. M I will convert between fractions, decimals, and percents. Evaluation Fractions
More informationChapter 9 - Transformations. Transformation: operation that maps (or moves) a preimage onto an image.
Chapter 9 - Transformations Transformation: operation that maps (or moves) a preimage onto an image. 4 Types of transformations: I. Reflections II. Translations III. Rotations IV. Dilations 3 Parts of
More informationSection Quiz Lessons 12-1 Through 12-4
Section Quiz Lessons - Through - hoose the best answer.. What is the image of (, ) when it is reflected across the line y x? (, ) (, ),, Use the figure for Exercises 7. The coordinates of the vertices
More informationNOTES: 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 informationName: Period: Unit 1. Modeling with Geometry: Transformations
Name: Period: Unit 1 Modeling with Geometry: Transformations 1 2017/2018 2 2017/2018 Unit Skills I know that... Transformations in general: A transformation is a change in the position, size, or shape
More informationStudy 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 informationTransformations & Basic Geometry Vocabulary
Transformations & Basic Geometry Vocabulary Key Terms and Concepts Name: Date: Period: Rigid Transformations Toolkit Key Vocabulary- Give a precise definition of each term Parallel lines: Perpendicular
More informationReview for Grade 9 Math Exam - Unit 7 - Similarity and Transformations
Review for Grade 9 Math Exam - Unit 7 - Similarity and Transformations Name: Date: Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Determine the scale
More informationIntroduction : Applying Lines of Symmetry
Introduction A line of symmetry,, is a line separating a figure into two halves that are mirror images. Line symmetry exists for a figure if for every point P on one side of the line, there is a corresponding
More informationTransformations. Lesson Summary: Students will explore rotations, translations, and reflections in a plane.
Transformations Lesson Summary: Students will explore rotations, translations, and reflections in a plane. Key Words: Transformation, translation, reflection, rotation Background knowledge: Students should
More informationDirections: This review consists of problems that could be on your midterm. Make sure you complete each problem and show your work.
Name: HOUR: Due Date: 2014 Geometry Midterm Review Directions: This review consists of problems that could be on your midterm. Make sure you complete each problem and show your work. 1. For equilateral
More informationName: Geometry Practice Test Unit 2 Transformations in the Plane. Date: Pd:
Geometry Practice Test Unit 2 Transformations in the Plane (G.CO.A.2 - G.CO.A.5) Name: Date: Pd: 1) What type of symmetry is shown in this picture? (multiple choices-select all that apply) A) Point symmetry
More informationUnit 3SimilarFigures and Dilations
Unit 3 Similar Figures and Dilations Unit 3SimilarFigures and Dilations Target 1 Use proportions to identify lengths of corresponding parts in similar figures Target 2 Perform and identify dilations Target
More informationName. YouTube Playlist: https://goo.gl/bpgam
Unit 2 Transformations Target 1: Identify and determine congruent parts given a rigid motion. Target 2: Perform and identify rigid transformations of points, segments, and figures. a. Perform and identify
More information1-7 Transformations in the Coordinate Plane
1-7 Transformations in the Coordinate Plane Warm Up Lesson Presentation Lesson Quiz Warm Up 1. Draw a line that divides a right angle in half. 2. Draw three different squares with (3, 2) as one vertex.
More informationTranslations, Reflections, and Rotations
Translations, Reflections, and Rotations This photo shows a classic optical illusion called the Necker Cube. It's an example of an impossible object. Optical illusions are often helpful to scientists who
More informationComposition Transformation
Name: Date: 1. Describe the sequence of transformations that results in the transformation of Figure A to Figure A. 2. Describe the sequence of transformations that results in the transformation of Figure
More informationGeometry: Semester 2 Practice Final Unofficial Worked Out Solutions by Earl Whitney
Geometry: Semester 2 Practice Final Unofficial Worked Out Solutions by Earl Whitney 1. Wrapping a string around a trash can measures the circumference of the trash can. Assuming the trash can is circular,
More informationSection 4: Introduction to Polygons Part 1
The following Mathematics Florida Standards will be covered in this section: MAFS.912.G-CO.1.1 Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the
More informationGeometry 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 informationButterflies, Pinwheels, and Wallpaper
Butterflies, Pinwheels, and Wallpaper Day Topic Homework IXL Grade 1 Inv 1.1 Inv 1/ACE # 1-6 2 Inv 1.2 Inv 1/ACE # 19-20 3 Inv 1.3 Inv 1/ACE # 8-12 (all part a only!) 4 Inv 1.4 Inv 1/ACE # 14-17, 30-34,
More informationDO NOW Geometry Regents Lomac Date. due. Similar by Transformation Construction
DO NOW Geometry Regents Lomac 2014-2015 Date. due. Similar by Transformation Construction (DN) What defines a similarity transformation? Name Per LO: I can construct a similarity transformation. (1) compass,
More informationHelpful Hint When you are given a frieze pattern, you may assume that the pattern continues forever in both directions Notes: Tessellations
A pattern has translation symmetry if it can be translated along a vector so that the image coincides with the preimage. A frieze pattern is a pattern that has translation symmetry along a line. Both of
More informationCK-12 Geometry: Similar Polygons
CK-12 Geometry: Similar Polygons Learning Objectives Recognize similar polygons. Identify corresponding angles and sides of similar polygons from a similarity statement. Calculate and apply scale factors.
More informationButterflies, Pinwheels, and Wallpaper
Butterflies, Pinwheels, and Wallpaper Day Topic Homework Grade 1 Intro Day start work on notes, vocab, and ACE questions 2 Inv 1/ACE # 1-6, 8-12, 14-17, 19-20, 30-34, 36a, 37a due by Friday 1/9 at 3:15
More informationAngles of Polygons. Essential Question What is the sum of the measures of the interior angles of a polygon?
7.1 Angles of Polygons Essential Question What is the sum of the measures of the interior angles of a polygon? The Sum of the Angle Measures of a Polygon Work with a partner. Use dynamic geometry software.
More informationUnit 4 Guided Notes Part 2 Geometry
Unit 4 Guided Notes Part 2 Geometry Name: Important Vocabulary: Transformation: A change in,, or of a geometric figure. Rigid transformation: A transformation that preserves measures and of segments. Transformation
More informationWorksheet on Line Symmetry & Rotational Symmetry
Gr. 9 Math 8. - 8.7 Worksheet on Line Smmetr & Rotational Smmetr Multiple Choice Identif the choice that best completes the statement or answers the question.. Which shapes have at least lines of smmetr?
More informationMathematics Expectations Page 1 Grade 06
Mathematics Expectations Page 1 Grade 06 Problem Solving Mathematical Process Expectations 6m1 develop, select, and apply problem-solving strategies as they pose and solve problems and conduct investigations,
More information