December 04, REFLECTION Activity:
|
|
- Damon David Short
- 5 years ago
- Views:
Transcription
1 REFLECTION Activity: 1. Draw a line in the middle of your paper. Label it. 2. With a straightedge, draw a triangle either entirely on one side of the line or so a maximum of one point is on line. Label the triangle ABC. 3. Fold the paper along line. 4. Trace ABC using your straightedge. Unfold your paper and label your image points A', B', and C'. 5. Draw AA', BB', and CC'. Measure the distance A is to and A' is to. Repeat for B, B' and C, C'. 6. What do you notice? 7. What can you conclude about and the segments connecting a point to its image point in a reflection? 8. If an original point is on the line of reflection, where will its image point be?
2
3 (9.1) Reflections and (9.2) Translations Objective:To draw reflections and draw reflections in the coordinate plane. To draw translations and draw translations in the coordinate plane. Why: Reflections and Translations are used in building design, art, etc.
4 Obj: To draw reflections and draw reflections in the coordinate plane. To draw translations and draw translations in the coordinate plane. Reflection: "flip" over a line (line of reflection)
5 Reflect ABCD over line. B A C Obj: To draw 0 reflections and draw reflections in the coordinate plane To draw translations 2 and draw translations in the coordinate plane D
6
7 Obj: To draw reflections and draw reflections in the coordinate plane. To draw translations and draw translations in the coordinate plane. A(1,3) C(3,5) B(4,2) ABC has coordinates A(1,3), B(4,2), C(3,5). Reflect ABC over the y= -1 and give the image coordinates.
8 Obj: To draw reflections and draw reflections in the coordinate plane. To draw translations and draw translations in the coordinate plane. P(2,3) P(2,3) 1. reflect over y-axis 2. reflect over x-axis 3. reflect over line y = x X 4. reflect over line y = -x y-axis x-axis (x,y) (x,y) y = x (x,y) y = -x (x,y)
9 Obj: To draw reflections and draw reflections in the coordinate plane. To draw translations and draw translations in the coordinate plane. Reflect the figure with the given vertices over the line y = x. R(-2,2), S(5,0), T(3,-1) R(-2,2) S(5,0) T(3,-1)
10 Obj: To draw reflections and draw reflections in the coordinate plane. To draw translations and draw translations in the coordinate plane. Line Symmetry: when a figure can be mapped onto itself by a reflection line called the line of symmetry or axis of symmetry.
11 Obj: To draw reflections and draw reflections in the coordinate plane. To draw translations and draw translations in the coordinate plane. Plane Symmetry: a 3D figure has plane symmetry if a plane can divide the figure into two congruent reflected halves. Determine if the following solids have plane symmetry
12 (9.2) Translations: "slide" Obj: To draw reflections and draw reflections in the coordinate plane. To draw translations and draw translations in the coordinate plane. Vector: quantity that has both direction and magnitude (size) and is represented by an arrow. (location is irrelevant) Q P
13 Obj: To draw reflections and draw reflections in the coordinate plane. m To draw translations and draw translations in the coordinate plane. n A A' A'' B B' B''
14 Obj: To draw reflections and draw reflections in the coordinate plane. To draw translations and draw translations in the coordinate plane. Translate the figure with the given translation vector. A C B v
15 Obj: To draw reflections and draw reflections in the coordinate plane. To draw translations and draw translations in the coordinate plane.
16 Obj: To draw reflections and draw reflections in the coordinate plane. To draw translations and draw translations in the coordinate plane. Graph the figure and its image along the given vector. TUWX with vertices T(-1,1), U(4,2), W(1,5), and X(-1,3); < -2, -4 >
17 Obj: To draw reflections and draw reflections in the coordinate plane. To draw translations and draw translations in the coordinate plane. HW: (HR): WS(9.1) and WS(9.2)
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 informationTranslations SLIDE. Example: If you want to move a figure 5 units to the left and 3 units up we would say (x, y) (x-5, y+3).
Translations SLIDE Every point in the shape must move In the same direction The same distance Example: If you want to move a figure 5 units to the left and 3 units up we would say (x, y) (x-5, y+3). Note:
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 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 informationSection 12.1 Translations and Rotations
Section 12.1 Translations and Rotations Any rigid motion that preserves length or distance is an isometry. We look at two types of isometries in this section: translations and rotations. Translations A
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 information2-1 Transformations and Rigid Motions. ENGAGE 1 ~ Introducing Transformations REFLECT
2-1 Transformations and Rigid Motions Essential question: How do you identify transformations that are rigid motions? ENGAGE 1 ~ Introducing Transformations A transformation is a function that changes
More informationI can identify reflections, rotations, and translations. I can graph transformations in the coordinate plane.
Page! 1 of! 14 Attendance Problems. 1. Sketch a right angle and its angle bisector. 2. Draw three different squares with (3, 2) as one vertex. 3. Find the values of x and y if (3, 2) = (x + 1, y 3) Vocabulary
More informationChapter 12 Transformations: Shapes in Motion
Chapter 12 Transformations: Shapes in Motion 1 Table of Contents Reflections Day 1.... Pages 1-10 SWBAT: Graph Reflections in the Coordinate Plane HW: Pages #11-15 Translations Day 2....... Pages 16-21
More informationModule 1 Topic C Lesson 14 Reflections
Geometry Module 1 Topic C Lesson 14 Reflections The purpose of lesson 14 is for students to identify the properties of reflection, to use constructions to find line of reflection, get familiar with notations
More informationIntroduction to Transformations. In Geometry
+ Introduction to Transformations In Geometry + What is a transformation? A transformation is a copy of a geometric figure, where the copy holds certain properties. Example: copy/paste a picture on your
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 informationTransformations. Working backwards is performing the inverse operation. + - and x 3. Given coordinate rule
Transformations In geometry we use input/output process when we determine how shapes are altered or moved. Geometric objects can be moved in the coordinate plane using a coordinate rule. These rules can
More informationLesson 9 Reflections Learning Targets :
Reflections Learning Targets : I can construct the line of reflection using the compass and a straightedge I can draw the reflected figure using a compass and a straightedge and on coordinate grid Opening
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 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 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 informationVocabulary for Student Discourse Pre-image Image Reflect Symmetry Transformation Rigid transformation Congruent Mapping Line of symmetry
Lesson 3 - page 1 Title: Reflections and Symmetry I. Before Engagement Duration: 2 days Knowledge & Skills Understand transformations as operations that map a figure onto an image Understand characteristics
More informationGuided Problem Solving
-1 Guided Problem Solving GPS Student Page 57, Exercises 1 1: Match each rule with the correct translation. A. (x, y) (x, y 1 ) I. P(, 1) P (3, ) B. (x, y) (x 1 3, y) II. Q(3, 0) Q (3, ) C. (x, y) (x 1,
More informationTransformations. Working backwards is performing the inverse operation. + - and x 3. Given coordinate rule
Transformations In geometry we use input/output process when we determine how shapes are altered or moved. Geometric objects can be moved in the coordinate plane using a coordinate rule. These rules can
More informationStudy Guide and Review
Choose the term that best completes each sentence. 1. When a transformation is applied to a figure, and then another transformation is applied to its image, this is a(n) (composition of transformations,
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 informationGeometry. 4.1 Translations
Geometry 4.1 Translations 4.1 Warm Up Translate point P. State the coordinates of P'. 1. P(-4, 4); 2 units down, 2 units right 2. P(-3, -2); 3 units right, 3 units up 3. P(2,2); 2 units down, 2 units right
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 5: Butterflies, Pinwheels, & Wallpaper
Unit 5: Butterflies, Pinwheels, & Wallpaper Directions: Please complete the necessary problems to earn a maximum of 10 points according to the chart below. Show all of your work clearly and neatly for
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: 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 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 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 informationDay 1 Translations, Reflections, and Rotations
Name Date Day 1 Translations, Reflections, and Rotations There are many different ways to move a figure on the coordinate plane. Some movements keep the figure the same size and some may make the figure
More informationG.CO.A.2: Identifying Transformations 2
G.CO.A.2: Identifying Transformations 2 1 In the accompanying diagram, ABC is similar to but not congruent to A B C. 3 In the diagram below, A' B' is the image of AB under which single transformation?
More informationVocabulary: Hubcaps, Kaleidoscopes and Mirrors
Vocabulary: Hubcaps, Kaleidoscopes and Mirrors Concept Two related ideas: Symmetry and Transformation. Symmetry is a property of some designs or shapes. A design either has symmetry or does not. For example,
More informationGeometry Unit 1: Transformations in the Coordinate Plane. Guided Notes
Geometry Unit 1: Transformations in the Coordinate Plane Guided Notes Standard: MGSE9 12.G.CO.1 Know precise definitions Essential Question: What are the undefined terms essential to any study of geometry?
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 informationBy: Caroline, Jenny, Jennifer, Jared, Kaleigh
By: Caroline, Jenny, Jennifer, Jared, Kaleigh 1) What are the coordinates of the image of (2, 5) after a counterclockwise rotation of 90º about the origin? 1) ( 2, 5) 2) (2, 5) 3) ( 5, 2) 4) (5, 2) A dilation
More informationUNIT 5: Transformations
Period: Date: May 11 & 12, 2015 UNIT 5: Transformations Checklist MAX Scored 1 Vocabulary 40 2 Transformations 30 3 Constructions 20 4 Random Transformations 30 Totals 120 Semester 2 Test Prep Section
More informationDIOCESE OF HARRISBURG MATHEMATICS CURRICULUM GRADE 8
MATHEMATICS CURRICULUM GRADE 8 8A Numbers and Operations 1. Demonstrate an numbers, ways of representing numbers, relationships among numbers and number systems. 2. Compute accurately and fluently. a.
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 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 information11.1 Rigid Motions. Symmetry
11.1 Rigid Motions Rigid Motions We will now take a closer look at the ideas behind the different types of symmetries that we have discussed by studying four different rigid motions. The act of taking
More informationVocabulary. Term Page Definition Clarifying Example. center of dilation. composition of transformations. enlargement. glide reflection.
CHAPTER 12 Vocabulary The table contains important vocabulary terms from Chapter 12. As you work through the chapter, fill in the page number, definition, and a clarifying example. center of dilation Term
More informationIntegrated Algebra A Packet 1
Name Date Integrated Algebra A Packet 1 Lesson/Notes Homework Coordinate Plane HW #1 Connecting Points To Make Figures HW #2 Intro to Transformations/Translations HW #3 Reflections HW #4 Symmetry HW #5
More informationCOORDINATE ALGEBRA UNIT 5: TRANSFORMATIONS IN THE COORDINATE PLANE. 1. On this coordinate plane, UVW has been transformed to form its image U''V''W''.
1. On this coordinate plane, UVW has been transformed to form its image U''V''W''. 3.Graph the figure and its image under the given translation: EFG with vertices E (-2, -3), F (-3, -2), G (-1, -1) under
More informationPARCC Review. The set of all points in a plane that are equidistant from a given point is called a
Name 1. Select the drop-down menus to correctly complete each sentence. PARCC Review The set of all points in a plane that are equidistant from a given point is called a The given point is called the Radius
More informationConstruction: Draw a ray with its endpoint on the left. Label this point B.
Name: Ms. Ayinde Date: Geometry CC 1.13: Constructing Angles Objective: To copy angles and construct angle bisectors using a compass and straightedge. To construct an equilateral triangle. Copy an Angle:
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 informationIntroduction A young woman uses her reflection in a mirror to give herself a facial.
Algebra/Geometry Blend Unit #2: Transformations Lesson 2: Reflections Introduction A young woman uses her reflection in a mirror to give herself a facial. [page 1] Name Period Date Have you ever mimicked
More informationExploring Translations
Exploring Translations 1. New Sketch: To open a new sketch go to FILE and click on New Sketch 2. Create a triangle. a. Using the SEGMENT tool, construct a triangle. b. Drag the cursor and release for each
More information7.1:Transformations And Symmetry 7.2: Properties of Isometries. Pre-Image:original figure. Image:after transformation. Use prime notation
7.1:Transformations And Symmetry 7.2: Properties of Isometries Transformation: Moving all the points of a geometric figure according to certain rules to create an image of the original figure. Pre-Image:original
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 informationGeometry: Semester 1 Midterm
Class: Date: Geometry: Semester 1 Midterm Multiple Choice Identify the choice that best completes the statement or answers the question. 1. The first two steps for constructing MNO that is congruent to
More informationLesson 3: Rectangles Inscribed in Circles
Classwork Opening Exercise Using only a compass and straightedge, find the location of the center of the circle below. Follow the steps provided. Draw chord. AAAA Construct a chord perpendicular to AAAA
More informationTRANSFORMATIONS AND CONGRUENCE
1 TRANSFORMATIONS AND CONGRUENCE LEARNING MAP INFORMATION STANDARDS 8.G.1 Verify experimentally the s, s, and s: 8.G.1.a Lines are taken to lines, and line segments to line segments of the same length.
More informationPARCC Review 1. Select the drop-down menus to correctly complete each sentence.
Name PARCC Review 1. Select the drop-down menus to correctly complete each sentence. The set of all points in a plane that are equidistant from a given point is called a The given point is called the Radius
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 informationWorking with Transformations on the Coordinate Plane
Working with Transformations on the Coordinate Plane Movies create the illusion of movement by showing us 24 images per second. When the human eye processes 24 images per second it is interpreted in our
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 informationWarm-up. Translations Using arrow notation to write a rule. Example: 1) Write a rule that would move a point 3 units to the right and 5 units down.
Translations Using arrow notation to write a rule. Example: 1) Write a rule that would move a point 3 units to the right and 5 units down. (x, y) 2) Write a rule that would move a point 6 units down. (x,
More informationLesson 11.1 Dilations
Lesson 11.1 Dilations Key concepts: Scale Factor Center of Dilation Similarity A A dilation changes the size of a figure. B C Pre Image: 1 A A' B C Pre Image: B' C' Image: What does a dilation NOT change?
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 informationGEOMETRY R Unit 4: More Transformations / Compositions. Day Classwork Homework Monday 10/16. Perpendicular Bisector Relationship to Transformations
GEOMETRY R Unit 4: More Transformations / Compositions Day Classwork Homework Monday 10/16 Perpendicular Bisector Relationship to Transformations HW 4.1 Tuesday 10/17 Construction of Parallel Lines Through
More informationA transformation is a function, or mapping, that results in a change in the position, shape, or size of the figure.
Translations Geometry Unit 9: Lesson 1 Name A transformation is a function, or mapping, that results in a change in the position, shape, or size of the figure. Some basic transformations include translations,
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 informationGeometry Vocabulary. Name Class
Geometry Vocabulary Name Class Definition/Description Symbol/Sketch 1 point An exact location in space. In two dimensions, an ordered pair specifies a point in a coordinate plane: (x,y) 2 line 3a line
More informationGraphing and Describing 180 Rotations about the Origin (0, 0)
Lesson: Graphing and Describing 180 Rotations about the Origin (0, 0) Day 5 Supplement Lesson Graphing and Describing 180 Rotations about the Origin (0, 0) Teacher Lesson Plan CC Standards 8.G.3 Describe
More informationCopyright 2009 Pearson Education, Inc. Chapter 9 Section 5 - Slide 1 AND
Copyright 2009 Pearson Education, Inc. Chapter 9 Section 5 - Slide 1 AND Chapter 9 Geometry Copyright 2009 Pearson Education, Inc. Chapter 9 Section 5 - Slide 2 WHAT YOU WILL LEARN Transformational geometry,
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 informationTRANSFORMATIONS AND CONGRUENCE
21 TRANSFORMATIONS AND CONGRUENCE INSTRUCTIONAL ACTIVITY Lesson 3 LEARNING GOAL Students will discover the impact of translations and reflections on the coordinates of a figure, then generalize the rule
More informationTable of Contents Date Topic Page(s) 9/14/15 Table of Contents (TOC) 1 3 9/14/15 Notebook Rubric 4 9/14/15 Unit A Reference Sheets 5 6
Table of Contents Date Topic Page(s) 9/14/15 Table of Contents (TOC) 1 3 9/14/15 Notebook Rubric 4 9/14/15 Unit A Reference Sheets 5 6 9/14/15 September Calendar 7 9/14/15 Class Notes Template 8 9/15/15
More informationTransformations 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 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 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 informationacute angle An angle with a measure less than that of a right angle. Houghton Mifflin Co. 2 Grade 5 Unit 6
acute angle An angle with a measure less than that of a right angle. Houghton Mifflin Co. 2 Grade 5 Unit 6 angle An angle is formed by two rays with a common end point. Houghton Mifflin Co. 3 Grade 5 Unit
More informationExplorations of Rigid Motions and Congruence
Explorations of Rigid Motions and Congruence James King University of Washington Department of Mathematics king@uw.edu http://www.math.washington.edu/~king The Plan In this session, we will explore exploring.
More informationAddition Properties. Properties something you cannot disprove always true. *You must memorize these properties!
Addition Properties Properties something you cannot disprove always true. *You must memorize these properties! 1) Commutative property of addition changing the order of addends will not change the sum
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 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 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 informationFrom the SelectedWorks of Harish Chandra Rajpoot H.C. Rajpoot. Harish Chandra Rajpoot, HCR. Spring May 6, 2017
From the SelectedWorks of Harish Chandra Rajpoot H.C. Rajpoot Spring May 6, 2017 Mathematical analysis of disphenoid (isosceles tetrahedron (Derivation of volume, surface area, vertical height, in-radius,
More informationLet a line l and a point P not lying on it be given. By using properties of a transversal and parallel lines, a line which passes through the point P
Let a line l and a point P not lying on it be given. By using properties of a transversal and parallel lines, a line which passes through the point P and parallel to l, can be drawn. A triangle can be
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 informationStudents are not expected to work formally with properties of dilations until high school.
Domain: Geometry (G) Cluster: Understand congruence and similarity using physical models, transparencies, or geometry software. Standard: 8.G.1. Verify experimentally the properties of rotations, reflections,
More informationProblem 3.1 (Building up geometry). For an axiomatically built-up geometry, six groups of axioms needed:
Math 3181 Dr. Franz Rothe September 29, 2016 All3181\3181_fall16h3.tex Names: Homework has to be turned in this handout. For extra space, use the back pages, or put blank pages between. The homework can
More informationGeometry Midterm Review 2019
Geometry Midterm Review 2019 Name To prepare for the midterm: Look over past work, including HW, Quizzes, tests, etc Do this packet Unit 0 Pre Requisite Skills I Can: Solve equations including equations
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 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 informationNAME: 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 informationUNIT 1: TRANSFORMATIONS IN THE COORDINATE PLANE
UNIT 1: TRANSFORMATIONS IN THE COORDINATE PLANE Unit 1: Transformations in the Coordinate Plane In this unit, students review the definitions of three types of transformations that preserve distance and
More informationMATHEMATICS CARNIVAL: A VEHICLE FOR ALL TO LEARN CCSSM- GEOMETRIC CONCEPTS!*
MATHEMATICS CARNIVAL: A VEHICLE FOR ALL TO LEARN CCSSM- GEOMETRIC CONCEPTS!* Prof. Vivian La Ferla, ED.D Professor of Mathematics and Computer Science and Educational Studies Rhode Island College Providence,
More informationName: Date: Period: Score: Linear Algebra Chapters 7, 8, & 9 Study Guide
1. Triangle ABC is shown on the coordinate grid. 3. Use the parallelogram shown in the coordinate plane to answer each question. Translate 3 units horizontally. Label the image. How are the values in the
More informationModule 2 Test Study Guide. Type of Transformation (translation, reflection, rotation, or none-of-theabove). Be as specific as possible.
Module 2 Test Study Guide CONCEPTS TO KNOW: Transformation (types) Rigid v. Non-Rigid Motion Coordinate Notation Vector Terminology Pre-Image v. Image Vertex Prime Notation Equation of a Line Lines of
More informationChapter 2: Transformational Geometry Assignment Sheet
hapter : Transformational Geometry ssignment Sheet # Name omplete? 1 Functions Review Video : Transformations 3 Generic Transformations and Isometries 4 Symmetry 5 Dilations and Translations 6 Lab: Reflections
More informationGeometry. Topic 1 Transformations and Congruence
Geometry Topic 1 Transformations and Congruence MAFS.912.G-CO.1.2 Consider the point A at ( 3, 5). A. Find the coordinates of A, the image of A after the transformation: (, ) (, ). B. What type of transformation
More informationPRACTICAL GEOMETRY SYMMETRY AND VISUALISING SOLID SHAPES
UNIT 12 PRACTICAL GEOMETRY SYMMETRY AND VISUALISING SOLID SHAPES (A) Main Concepts and Results Let a line l and a point P not lying on it be given. By using properties of a transversal and parallel lines,
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 informationName Date Class Practice A. 7. How many degrees do you have to rotate any figure to get it back to its original position?
Practice A Transformations Tell whether each is a translation, rotation, or reflection. 1. 2. _ 3. 4. Circle the correct answer 5. Which is the best description of the transformation shown below? _ 6.
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 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 informationProperties of Rotations
Properties of Rotations Student Probe Find the image of a 50 o counterclockwise rotation about point P. A P B Lesson Description The lesson examines rotations as the transformation obtained by reflecting
More informationProperties of Rotations
Properties of Rotations Student Probe Find the image of a 50 counterclockwise rotation about point P. Lesson Description The lesson examines rotations as the transformation obtained by reflecting an object
More information