Chapter 12 Transformations: Shapes in Motion
|
|
|
- Eric Briggs
- 5 years ago
- Views:
Transcription
1 Name Geometry Honors Date Per. Teacher Chapter 12 Transformations: Shapes in Motion 1
2 Table of Contents Reflections Day Page 3 Translations Day Page 10 Rotations/Dilations Day Page 17 Symmetry Day Page 26 Glide Reflections Day 5... Page 31 Compositions Day Page 37 Review Day Page 40 2
3 Reflections Day 1 An Introduction to Transformations Reflections 3
4 Reflection Over the X-Axis Graph line segment PQ with vertices P(-3, 4) and Q(4, 2). Then graph the image of line segment PQ after a reflection over the x-axis. Write the coordinates of its vertices. P(-3, 4) Q(4, 2) P l Q l Rule 4
5 Reflection Over the Y-Axis Graph line segment AB with vertices A(-4, 1) and B(-2, 3). Then graph the image of line segment AB after a reflection over the y-axis. Write the coordinates of its vertices. A(-4, 1) B(-2, 3) A l B l Rule Reflection Over the line y = x. Graph line segment CD with vertices C(0, 3), and D(-3, -2). Then graph the image of CD after a reflection over the line y = x. Write the coordinates of the new vertices. C(0, 3) D(-3, -2) C l D l Rule 5
6 Reflection Over the line y = -x. Graph line segment CD with vertices C(0, 3), and D(-3, -2). Then graph the image of CD after a reflection over the line y = -x. Write the coordinates of the new vertices. C(0, 3) D(-3, -2) C l D l Rule Reflection over a Horizontal or Vertical Line Graph the point A with vertices A(1, 2). Then graph the image of A after a reflection over the line y = -1. Write the coordinates of the new vertices. A(1, 2) A l Rule 6
7 Identifying a Reflection Write a rule to describe each transformation. a. b. Summary 7
8 Homework 8
9 9
10 Translations Day 2 Warm - Up
11 11
12 1) Triangle DEF is a translation of triangle ABC. Use the diagram to write a rule for the translation of triangle ABC to Triangle DEF. 2) Pentagon ABCDE is drawn on the grid below. On the grid, draw a translation of pentagon ABCDE using the rule T 3,-5. 12
13 3) Pentagon ABCDE is plotted on the grid below. On the grid, draw the translation of pentagon ABCDE using the rule T- 4,3. Label the translated figure A B C D E
14 Summary 14
15 Homework 15
16 16
17 Rotations and Dilations Day 3 Warm - Up
18 Example 1: Graph triangle XYZ with vertices X(2, 2), Y(4, 3), and Z(3, 0). Then graph the image of triangle XYZ after a rotation 90 o counterclockwise about the origin, and write the coordinates of its vertices. X(2, 2) X l (, ) Y(4, 3) Y l (, ) Z(3, 0) Z l (, ) 18
19 Example 2: Graph trapezoid ABCD with vertices A(1, 3), B(4, 4), C(4, 0), and D(1, 1). Then graph the image of trapezoid ABCD after a 180 o rotation about the origin, and write the coordinates of its vertices. A(1, 3) A l (, ) B(4, 4) B l (, ) C(4, 0) C l (, ) D(1, 1) D l (, ) Example 3: Graph polygon TUVW with vertices T(2, -4), U(3, -1), V(-1, 0), and W(-2, -3). Then graph the image of polygon TUVW after a 270 o rotation, and write the coordinates of its vertices. T(2, -4) T l (, ) U(3, -1) U l (, ) V(-1, 0) V l (, ) W(-2, -3) W l (, ) Identifying a Rotation Write a rule to describe each transformation. a. gfgf b. 19
20 Dilation 20
21 Example 1-Enlargement Graph triangle PQR with vertices P(-1, 1), Q(4, 1), and R(-1, 3). Then Graph its image triangle P Q R after a dilation with a scale factor of 2. P(-1, 1) Q(4, 1) R(-1, 3) P Q R Example 2-Reduciton Graph quadrilateral EFGH with vertices E(-6, 4), F(-4, 8), G(4, 2), and H(-2, -4). Then graph the image of EFGH after a dilation with a scale factor of ½. E(-6, 4) F(-4, 8) G(4, 2) H(-2, -4) E F G H Example 3-Determining the Scale Factor Graph triangle ABC with vertices A(-4, 6), B(-2, 4), and C(-8, 4). Then graph the image of ABC after a dilation triangle A B C with vertices A l (-2, 3), B l (-1, 2), and C l (-4, 2). Find the scale factor of the dilation and classify as an enlargement or a reduction. 21
22 Summary 22
23 Homework rotation 270 counterclockwise about the origin. 23
24 24
25 Dilations 25
26 Symmetry Day 4 Warm - up
27 27
28 28
29 Homework 29
30 30
31 Glide Reflections Day 5 Warm Up Which rotation about point O maps B to D? 31
32 The symbol for a composition of transformations is an open circle. The notation is read as a reflection in the x-axis following a translation of (x+3, y+4). Be careful!!! The process is done in reverse!! You may see various notations which represent a composition of transformations: could also be indicated by Identifying Glide Reflections 1. 32
33 1) 2) Is T 0, 5 r y-axis a glide reflection? 3) Is T 7, 0 r x-axis a glide reflection? 4) Is T 3,3 r y=x a glide reflection? 6) Is T 4,-1 r y-axis a glide reflection? 7) Is T -2, 8 r x-axis a glide reflection? Practice Problem #8 33
34 Practice Problem #9 Given: ABC: A (-4, 5), B (-6, 7), C (-8, 3) A (, ) B (, ) C (, ) Practice Problem #10 Given: ABC: A (5, 1), B (7, 4), C (9, 1) T -5,-4 r x-axis A (, ) B (, ) C (, ) 34
35 Homework 35
36 A (, ) and B (, ) A (, ) B (, ) C (, ) A (, ) B (, ) C (, ) 36
37 Compositions (More Practice) Day 6 When two or more transformations are combined to form a new transformation, the result is called a composition of transformations. In a composition, the first transformation produces an image upon which the second transformation is then performed. The symbol for a composition of transformations is an open circle. The notation is read as a reflection in the x-axis following a translation of (x+3, y+4). Be careful!!! The process is done in reverse!! 37
38 38
39 Try it Problems 1. The transformation (x, y) (2x + 4, 2y + 1) is the composition of what two transformations?
40 Homework: Transformations Review 1) In the accompanying diagram, K is the image of A after a translation. Under the same translation, which point is the image of J? 2) A translation moves A (-1, 3) to A (-3, 7). What are the coordinates of B, the image of B(5,-3) under the same translation? 3) Find the coordinates of P, the image of P (-3, 4) under the translation T 4,1. 4) Translation T maps point (2, 6) to point (4, -1). What is the image of point (-1, 3) under translation T? 5) Which graph shows a reflection ABC in the x-axis? 6) 40
41 7) Find the coordinates of P, the image of P(3, -1) under the transformations (x,y) (-y, -x). 8) What is the image of (6, 5) under a counterclockwise rotation of 180? 9) If point P (3, -2) is rotated 90 about the origin, what is the image of P? 10) Which transformation does not preserve size? 11) The image of (-2, 6) after a dilation with respect to the origin is (-10, 30). What is the constant of dilation? 12) Which transformation for letter M is shown in the accompanying diagram? 13) If a dilation maps (-3, 2) to (x, 8), what is the value of x? 14) If the coordinates of point A are ( 2,3), what is the image of A under r y axis D? 3 41
42 15) On the accompanying grid, graph and label AB, where A is (0,5) and B is (2,0). Under the transformation rx axis ry axis (AB), A maps to A, and B maps to B. Graph and label A B. What single transformation would map AB to A B? 42
43 In 16-21: a. Find the image of P(5, -3) under each of the given transformations. 16. r x-axis 17. R R T 0,3 20. r x-axis T 2,2 21. r x-axis r y=x
44 23. 44
45 Compositions: 45
4-7 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
1. 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
CCM6+/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
Chapter 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
Chapter 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
Unit 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
Transformations 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
Shape & 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
Butterflies, 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
DO 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,
For full credit, show all work. Study all geometry vocabulary words from your chapter packet.
Accelerated Review 9: Geometric Relationships Name: For full credit, show all work. Study all geometry vocabulary words from your chapter packet. Caleb drew a quadrilateral on his paper. Which of the following
Unit 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
Transformations 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
Name 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
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
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.
Unit 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
Transformations. Transformations: CLASSWORK. Tell whether the transformation appears to be a rigid motion. Explain
Transformations Transformations: CLASSWORK Tell whether the transformation appears to be a rigid motion. Explain. 1. 2. Preimage Image Preimage Image 3. Identify the type of transformation. What is the
G.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?
Content 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
Math 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?
4-1 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
Geometry: , 4.5 Notes
Geometry: 4.1-4.3, 4.5 Notes NAME 4.1 Be able to perform translations Date: Define Vocabulary: vector initial point terminal point horizontal component vertical component component form transformation
Lesson 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
Transformations. 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
Name: 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.
Geometry 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,
Unit 1 Review. Switch coordinates Switch and negate coordinates
Name: Geometry Pd. Unit 1: Rigid Motions and Congruency 1-1 Rigid Motions and transformations o Rigid Motions produce congruent figures. o Translation, Rotation, Reflections are all rigid motions o Rigid
Line 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,
A 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,
7.1: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
Name: 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
Integrated 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
Dilations. Dilations. Enlarges or Reduces a figure using a scale factor. Name: Period: Date: Dilations. Scale Factor =
Name: Period: Date: Dilations Dilations Enlarges or Reduces a figure using a scale factor. Dilations B B B 6 2 2 C 6 C Scale Factor = B C BC has been enlarged by a scale factor of 3. What are the coordinates
Section 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
Given 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
Assignment Guide: Chapter 9 Geometry
Assignment Guide: Chapter 9 Geometry (105) 9.1 Translations Page 550-552 #7-17 odd, 18, 28, 31, 33 (106) 9.2 Reflections Page 557-560 #7-12, 13-17 odd, 33, 37 (107) 9.3 Rotations Page 564-566 #9-15 odd,
Transformations. 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
Unit 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,
MA 111 Review for Exam 4
MA 111 Review for Exam 4 Exam 4 (given in class on Thursday, April 12, 2012) will cover Chapter 11. You should: understand how to carry out each of the following four motions: Reflection Rotation Translation
Reflections 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.
Unit 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.
Drawing Shapes on a Coordinate Grid
UNIT STUDENT OOK LESSO N Drawing Shapes on a oordinate Grid Quick Review t t Home Sc h o o l To describe the position of a shape on a grid, we use ordered pairs. The numbers in an ordered pair are called
Translations 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:
Chapter 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
Unit 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
Name: 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
Introduction 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
GRADE 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
Transformations and Congruence
Name Date Class UNIT 1 Transformations and Congruence Unit Test: C 1. Draw ST. Construct a segment bisector and label the intersection of segments Y. If SY = a + b, what is ST? Explain your reasoning.
Geometric 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
Chapter 9 Retake Test (GH)
Name: Period: Date: Chapter 9 Retake Test (GH) 1 The hexagon GIKMPR and FJN are regular. The dashed line segments form 30 angles. Find the angle of rotation about O that maps L to J. 2 The vertices of
Unit 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
a) b) c) d) 4. Which graph shows a triangle and its reflection image in the y axis?
1. Describe in words the translation represented by (x + 6, y 3). a) 3 units to the left, 6 units up b) 3 units to the right, 6 units down c) 6 units to the right, 3 units down d) 6 units to the left,
Student Name: Teacher: Date: Miami-Dade County Public Schools. Test: 9_12 Mathematics Geometry Exam 2
Student Name: Teacher: Date: District: Miami-Dade County Public Schools Test: 9_12 Mathematics Geometry Exam 2 Description: GEO Topic 5: Quadrilaterals and Coordinate Geometry Form: 201 1. If the quadrilateral
Section 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
UNIT 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
Vocabulary. 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
Wednesday, November 7, 2018
Wednesday, November 7, 2018 Warm-up Use the grid from yesterday s warm-up space to plot the pre-image ABCD and the points that are transformed by the rule (x, y) (2x, 2y) 5 2 2 5 2 4 0 0 Talk about quiz
Rigid Motions HW packet. Name:
Rigid Motions HW packet Name: Compositions of Transformations The transformations you have learned so far are: Name Meaning Notation Translations add the specified amount to the coordinates of each point.
Unit 2: Transformations. 2. Which of the following best shows a reflection (flip) of the shaded shape across the dashed line?
Name: Date: 1. Which of the following best represents only a translation (slide) up? 2. Which of the following best shows a reflection (flip) of the shaded shape across the dashed line? D. D. page 1 3.
9 Transformations CHAPTER. Chapter Outline.
Chapter 9 www.ck12.org CHAPTER 9 Transformations Chapter Outline 9.1 EXPLORING SYMMETRY 9.2 TRANSLATIONS AND VECTORS 9.3 REFLECTIONS 9.4 ROTATIONS 9.5 COMPOSITION OF TRANSFORMATIONS 9.6 DILATIONS 9.7 TESSELLATIONS
Chapter 2 Rigid Transformations Geometry. For 1-10, determine if the following statements are always, sometimes, or never true.
Chapter 2 Rigid Transformations Geometry Name For 1-10, determine if the following statements are always, sometimes, or never true. 1. Right triangles have line symmetry. 2. Isosceles triangles have line
2-1 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
COORDINATE 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
Homework for Section 5.1
Homework for Section 5.1 1. reate the rotation R(T) 2. reate the reflection F(T) of the triangle T shown below 90 degrees of the triangle T shown below across clockwise about the center point of rotation.
Math 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.
Chapter 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
Guided 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,
Module 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
Lesson Plan For Common Core 8 TRANSFORMATIONS OF THE PLANE
Lesson Plan For Common Core 8 TRANSFORMATIONS OF THE PLANE STANDARD: CCSS.MATH.CONTENT.HSG.CO.A.2 Represent transformations in the plane using, e.g., transparencies and geometry software; describe transformations
Quadrilaterals & 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
Date 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
7-2 Similarity and Transformations
7-2 Similarity and Transformations Warm Up Lesson Presentation Lesson Quiz Holt Geometry McDougal Geometry Warm Up Find the image point when the indicated transformation is applied to the given pre-image
Name: Period 2/3/2012 2/16/2012 PreAP
Name: Period 2/3/2012 2/16/2012 PreP UNIT 11: TRNSFORMTIONS I can define, identify and illustrate the following terms: Symmetry Line of Symmetry Rotational Symmetry Translation Symmetry Isometry Pre-Image
Date 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
L2 Translations, Reflections, and Rotations Pre-Assessment Per Date
L Translations, Reflections, and Rotations.1 - Pre-Assessment Per Date Have you ever wanted to rearrange the furniture in your room? First you might want to make sure that the furniture would fit in the
Geometry. 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
Study 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,
Composition 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
Geometry. 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
Name. 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
G.CO.B.6: Properties of Transformations 2
1 Which expression best describes the transformation shown in the diagram below? 2 As shown in the diagram below, when right triangle DAB is reflected over the x-axis, its image is triangle DCB. 1) same
GAUTENG DEPARTMENT OF EDUCATION SENIOR SECONDARY INTERVENTION PROGRAMME. MATHEMATICS Grade 11 SESSION 17 LEARNER NOTES
TRANSFORMATIONS Learner note: Transformations are easy to master and you can score well in questions involving this topic. Ensure that you know the different algebraic transformation rules. LESSON OVERVIEW
chapter 9 1 In the diagram, figure RQTS is the image of figure DEFC after a rigid motion. A B C D
Name: ate: 1 In the diagram, figure RQTS is the image of figure EF after a rigid motion. Name the image of F. T R Q S 2 In the diagram, figure RQTS is the image of figure EF after a rigid motion. Name
By: 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
Unit 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 =
Chapters 7 & 8. Parallel and Perpendicular Lines/Triangles and Transformations
Chapters 7 & 8 Parallel and Perpendicular Lines/Triangles and Transformations 7-2B Lines I can identify relationships of angles formed by two parallel lines cut by a transversal. 8.G.5 Symbolic Representations
12.4 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
Chapter 9 Transformations
Section 9-1: Reflections SOL: G.2 The student will use pictorial representations, including computer software, constructions, and coordinate methods, to solve problems involving smmetr and transformation.
Similarity and Congruence EOC Assessment (35%)
1. What term is used to describe two rays or two line segments that share a common endpoint? a. Perpendicular Lines b. Angle c. Parallel lines d. Intersection 2. What is a term used to describe two lines
11.1 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
GEOMETRY COORDINATE GEOMETRY Proofs
GEOMETRY COORDINATE GEOMETRY Proofs Name Period 1 Coordinate Proof Help Page Formulas Slope: Distance: To show segments are congruent: Use the distance formula to find the length of the sides and show
37 Pentagon ABCDE is drawn on the grid below.
Pentagon ABCDE is drawn on the grid below. C D E B - - - - - A - - 0 - - - - - - - On the grid, draw a translation of pentagon ABCDE five units down. Be sure to draw the translated shape label the translated
Warm-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,
Transformations & 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
Review 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
TRANSFORMATION BOOK. Name:
TRANSFORMATION BOOK Name: Pg. TRANSLATION NOTES: You are going to Translate point A to point A. First graph the point (-,) and label it A. Now graph the point (,) and label it A. SYMMETRY ASSIGNMENT: Pg.
3. Given the similarity transformation shown below; identify the composition:
Midterm Multiple Choice Practice 1. Based on the construction below, which statement must be true? 1 1) m ABD m CBD 2 2) m ABD m CBD 3) m ABD m ABC 1 4) m CBD m ABD 2 2. Line segment AB is shown in the
TImath.com. Geometry. Reflections and Rotations. Time required 45 minutes ID: 8286
Reflections and Rotations ID: 8286 Time required 45 minutes Activity Overview Students will reflect figures over the x- and y-axes. By studying what happens to the coordinates of the pre-image and image
GEOMETRY HONORS COORDINATE GEOMETRY PACKET
GEOMETRY HONORS COORDINATE GEOMETRY PACKET Name Period 1 Day 1 - Directed Line Segments DO NOW Distance formula 1 2 1 2 2 2 D x x y y Midpoint formula x x, y y 2 2 M 1 2 1 2 Slope formula y y m x x 2 1