Protractor Dilation Similar figures Scale Factor Reduction Counterclockwise Enlargement Ratio Symmetry Line of symmetry line (reflectional)
|
|
- Vivian Lily O’Neal’
- 5 years ago
- Views:
Transcription
1 1 Pre-AP Geometry Chapter 4 Test Review Standards/Goals: (Algebra I/II): D.1.a./A.REI.3./A.CED.1.: o I can solve a multi-step inequality in one variable. o I can solve and graph a compound inequality and write the answer in interval notation. (Algebra II): D.1.b.: A.CED.1.: I can solve an absolute value inequality. (AP Statistics): S.CP.8(+): I can use the Multiplication rule for find the probability of 2 or more events. (AP Statistics): S.MD.7.: I can calculated expected values. E.1.a.: I can determine points or lines of and apply the properties of to figures. E.1.e./G.CO.4.: I can identify and draw images of transformations and use their properties to solve problems. o I can understand the image, pre-image, scale factor, center, and similar figures as how they relate to transformations. E.1.e./G.CO.5.: I can draw a transformed figure and describe the sequence of transformations that were used to carry the given figure onto the other. E.1.e./G.CO.7.: I can understand the definition of congruence and how it relates to a transformation that is a rigid motion. G.1.e./G.CO.2.: o I can determine the effect of reflections and their compositions on the coordinate plane. o I can determine the effect of rotations and their compositions on the coordinate plane. G.1.e./G.SRT.1a: I can understand the idea of a dilation in the context of transformations. o I can identify the scale factor from a dilation. o I can understand the image, pre-image, scale factor, center, and similar figures as how they relate to transformations. G.1.e./G.SRT.1b: I can explain how a scale factor shows how much larger or smaller a figure becomes after a dilation. (Algebra II): E.2.a.: o I can identify the shape of a quadratic function & both the standard & vertex form of a quadratic function. o I can determine whether a quadratic function has a maximum or minimum value. o I can determine the domain & range of a quadratic function & graph it with & without technology. o I can determine the translations that may occur with a quadratic function and decide whether it is a reflection, stretch, compression, or a shift and in what direction and by how many units. (Algebra II): G.GPE.2.: I can derive the equation of a parabola based on a given focus or directrix. IMPORTANT VOCABULARY Transformation Rigid Motion/ Isometry Pre-Image Image Translation Reflection Line of Reflection Rotation Clockwise/ Protractor Dilation Similar figures Scale Factor Reduction Counterclockwise Enlargement Ratio Symmetry Line of line (reflectional) Rotational Order of Magnitude of Point Plane Axis Quadratics Parabola Standard form of an quadratic equation Vertex Directrix Vertex form of of an quadratic equation Focal length Axis of Maximum/Minimum Values Parent function Equidistant Focus
2 2 PRACTICE MULTIPLE CHOICE QUESTIONS: #1. E.1.e.: Which type of transformation moves all points the same distance in the same direction? a. Rotation b. Translation c. Reflection d. Dilation #2. E.1.a.: How many lines of does a square have? a. 0 b. 2 c. 4 d. 6 e. 8 #3. G.1.e./G.SRT.1a.: What type of dilation occurs with a scale factor of? a. Rotation b. Enlargement c. Reduction d. Reflection e. Translation #4. E.1.e./G.CO.7.: Which type of transformation moves all points the same distance in the same direction? a. Rotation b. Translation c. Reflection d. Dilation #5. E.1.a.: Which letter has rotational, but NOT reflectional? a. A b. C c. O d. Z #6. G.CO.7.: Which transformation turns every point of the pre image through a specified angle and direction about a fixed point? a. Reflection b. Rotation c. Translation d. Dilation #7. E.1.e.: Which of the following is true for an isometry? a. The preimage and image are congruent b. The preimage is larger than the image c. The preimage is smaller than the image d. The preimage is in the same position as the image.
3 3 #8. E.1.e.: An isometry is a transformation of an object in which the original object and its image are congruent. Which transformation is NOT always an isometry? a. Dilation b. Reflection c. Rotation d. Translation #9. E.1.a.: Which letter has rotational, but NOT reflectional? a. A b. C c. O d. Z #10. E.1.e.: Which action represents the reflection of a figure? a. Slide b. Shift c. Turn d. Flip Given A(2, -6), under which reflection is #11. A (2, 6)? #12. A (-2, -6)? What type of dilation occurs with a scale factor of #13. #14. A point Y with coordinates (-8, 6) is rotated about the origin. What would the resulting coordinates be for the following rotations? # # # # Find the coordinates of K with K(-5, 7) for a dilation centered at the origin with a scale factor of #20. 3 #21. ½
4 4 What is the image of A(-6, 9) under the following translations? #22. (4, -5) #23. (-10, 1) #24. (-5, -3) #25. Which of the following letters have point? A B C D E F G H I J K L M N O P Q R S T U V W X Y Z Which type of do the following figures have? #26. #27. #28. Point 0 is the center of regular hexagon ABCDEF. Determine the following: # rotation of F about O. # rotation of F about 0. # rotation of B about O # rotation of BG about O. #33. The coordinates of point A are (-3, b). Point B is created by reflecting point A across the x-axis and then translating the image point 4 units to the right. What are the coordinates of point B?
5 5 #34. The coordinates of point B are (a, 5). Point C is created by reflecting point B across the x-axis and then translating the image point 7 units to the right and then 5 units up. What are the coordinates of point C? #35. The vertices of ΔABC are A(-4, -1), B(-2, -1) and C(-2, -4). Triangle A B C is created through a translation of (x, y) (x + 5, y 8), followed by a reflection across the y-axis. What are the vertices of ΔA B C? Consider the quadrilateral MNOP with coordinates: M(2, 1), N(5, 7), O(-3, -6) and P(8, -4). #36. Carry out the following transformations: Reflect each point across the x-axis. Translate each point 3 units to the right. Translate each point 7 units down. Dilate by a factor of 2 #37. Carry out the following transformations: Reflect each point across the y-axis. Translate each point 2 units up. Translate each point 5 units to the left. Dilate by a factor of 2.5.
6 6 Plot the points. J(5, 10) and D(-8, -4). #38. Given D(-8, -4), under what reflection is D (8, -4)? #39. Given J(5, 10), under what reflection is J (5, -10)? #40. Reflect point D first across y = 2 and then across the line x = -2. #41. Reflect point J first across x = -1 and then across y = 3. #42. Reflect point J across the line y = -x. Then, the point should be translated m units right and then n units down. What are the coordinates of the final image? #43. Reflect point D across the line y = -x. Then, the point should be translated m units left and then n units up. What are the coordinates of the final image?
7 7 #44. Shane is working with transformations of an arrow shape about line l and point P. a. Draw the image of the arrow after 2 successive transformations: 1 st : A reflection across l. 2 nd : Then, a rotation of 270 degrees CLOCKWISE around P. SHOW the image after EACH transformation. 1 st transformation: 2 nd transformation: b. Suppose you draw a dilation of the original arrow centered at P with a scale factor of 3. How does the area of the arrow after the dilation compare to the area of the original area? Consider the following quadratic equation to answer the questions. #45. What is the vertex of the parabola #46. What is the axis of of the parabola given above? #47. What is the y-intercept? #48. Does the parabola have a minimum or a maximum? Where is the min/max?
8 8 Consider the following quadratic equation to answer the questions. f(x) = #49. What is the vertex of the parabola #50. What is the axis of of the parabola given above? #51. What is the y-intercept? #52. Does the parabola have a minimum or a maximum? Where is the min/max? Solve AND graph the following: #53. 4x + 8 < 12 OR 5 8x -35 #54. #55. #56. #57. #58.
9 9 Graph each image of the figure using the transformation given. #59. Translate 2 units down and 3 units to the left. #60. Reflect across x-axis and translate 5 right. #61. Reflection across the x-axis. #62. Dilation by a scale factor of 3. Additional Quadratic Practice: Identify the vertex, whether it has a minimum or maximum, the axis of and the intercept for each: #63. #64. y =
10 10 A bag contains 10 red balls, 5 yellow balls, and 9 white balls. If Brian randomly draws a ball from the bag, puts it aside, and randomly draws another ball from the bag. #65. What is the probability that Brian will draw 2 yellow balls? #66. What is the probability that Brian will draw a red ball and then a yellow ball? FREE RESPONSE PRACTICE: A psychologist studied the number of puzzle subjects were able to solve in a five-minute period while listening to soothing music. Let X be the number of puzzles completed successfully by a subject. The psychologist found that X had the following probability distribution: Value of X Probability #67. Verify that this is a legitimate probability distribution. #68. Referring to the information above, the probability that a randomly chosen subject completes at least three puzzles in the five-minute period while listening to soothing music is: a. 0.3 b. 0.4 c. 0.6 d. 0.9 #69. Referring to the information above, P (3 or 4) has value a. 0.3 b. 0.4 c. 0.6 d. 0.9 #70. Referring to the information above, the mean (expected)number of puzzles completed successfully, μ x is a. 1 b. 2 c. 2.3 d. 2.5 Consider: y 8 = ¾ (x + 16) #71. What is the slope of a line perpendicular to the one above? Write the equation in slope intercept and in standard form.
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
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 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 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 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 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 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 informationTranslations, 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 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 informationChapter 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
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 informationWednesday, 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
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 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 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 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 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 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 informationHonors Geometry Sections
Honors Geometry Sections 14.3 14.4 Name Determine whether the figure has rotational symmetry. If so, describe the rotations that map the figure onto itself. 1. 2. 3. Use the diagram to complete each sentence.
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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 informationCommon Core Cluster. Experiment with transformations in the plane. Unpacking What does this standard mean that a student will know and be able to do?
Congruence G.CO Experiment with transformations in the plane. G.CO.1 Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point,
More informationTransformations. 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
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 informationPre-Image Rotation Rotational Symmetry Symmetry. EOC Review
Name: Period GL UNIT 13: TRANSFORMATIONS I can define, identify and illustrate the following terms: Dilation Center of dilation Scale Factor Enlargement Reduction Composition of Transformations Image Isometry
More informationa triangle with all acute angles acute triangle angles that share a common side and vertex adjacent angles alternate exterior angles
acute triangle a triangle with all acute angles adjacent angles angles that share a common side and vertex alternate exterior angles two non-adjacent exterior angles on opposite sides of the transversal;
More informationName: 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
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 informationGrade 9, 10 or 11- Geometry
Grade 9, 10 or 11- Geometry Strands 1. Congruence, Proof, and Constructions 2. Similarity, Proof, and Trigonometry 3. Extending to Three Dimensions 4. Connecting Algebra and Geometry through Coordinates
More informationUnit 1: Fundamentals of Geometry
Name: 1 2 Unit 1: Fundamentals of Geometry Vocabulary Slope: m y x 2 2 Formulas- MUST KNOW THESE! y x 1 1 *Used to determine if lines are PARALLEL, PERPENDICULAR, OR NEITHER! Parallel Lines: SAME slopes
More informationCommon Core State Standards for Mathematics High School
Using the Program for Success Common Core State Standards for Mathematics High School The following shows the High School Standards for Mathematical Content that are taught in Pearson Common Core Edition
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 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 informationCC Geometry H Aim #12: How do we do transformations without the use of a coordinate plane?
CC Geometry H im #12: How do we do transformations without the use of a coordinate plane? y o Now: Plot ΔBC with (3,2), B(3,6), and C(6,2) a) Reflect ΔBC over the x axis (r x-axis ) State the coordinates
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 informationH Geo Final Review Packet Multiple Choice Identify the choice that best completes the statement or answers the question.
H Geo Final Review Packet Multiple Choice Identif the choice that best completes the statement or answers the question. 1. Which angle measures approximatel 7?.. In the figure below, what is the name of
More informationG.CO.2 G.CO.3 G.CO.4 G.CO.5 G.CO.6
Standard G.CO.1 G.CO.2 G.CO.3 G.CO.4 G.CO.5 G.CO.6 Jackson County Core Curriculum Collaborative (JC4) Geometry Learning Targets in Student Friendly Language I can define the following terms precisely in
More informationFinal Exam Review Algebra Semester 1
Final Exam Review Algebra 015-016 Semester 1 Name: Module 1 Find the inverse of each function. 1. f x 10 4x. g x 15x 10 Use compositions to check if the two functions are inverses. 3. s x 7 x and t(x)
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 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 informationGeometry Spring 2017 Item Release
Geometry Spring 2017 Item Release 1 Geometry Reporting Category: Congruence and Proof Question 2 16743 20512 Content Cluster: Use coordinates to prove simple geometric theorems algebraically and to verify
More informationAchieve Recommended Pathway: Geometry
Units Unit 1 Congruence, Proof, and Constructions Unit 2 Similarity, Proof, and Trigonometry Unit 3 Extending to Three Dimensions Unit 4 Connecting Algebra and Geometry through Coordinates Unit 5 Circles
More informationOhio s Learning Standards-Extended. Mathematics. Congruence Standards Complexity a Complexity b Complexity c
Ohio s Learning Standards-Extended Mathematics Congruence Standards Complexity a Complexity b Complexity c Most Complex Least Complex Experiment with transformations in the plane G.CO.1 Know precise definitions
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 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 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 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 informationGanado Unified School District Geometry
Ganado Unified School District Geometry PACING Guide SY 2016-2017 Timeline & Resources 1st Quarter Unit 1 AZ & ELA Standards Essential Question Learning Goal Vocabulary CC.9-12.G.CO. Transformations and
More information8. The triangle is rotated around point D to create a new triangle. This looks like a rigid transformation.
2.1 Transformations in the Plane 1. True 2. True 3. False 4. False 5. True 6. False 7. True 8. The triangle is rotated around point D to create a new triangle. This looks like a rigid transformation. 9.
More informationHUDSONVILLE HIGH SCHOOL COURSE FRAMEWORK
HUDSONVILLE HIGH SCHOOL COURSE FRAMEWORK COURSE/SUBJECT Geometry A KEY COURSE OBJECTIVES/ENDURING UNDERSTANDINGS OVERARCHING/ESSENTIAL SKILLS OR QUESTIONS FOUNDATIONS FOR GEOMETRY REASONING PARALLEL &
More information$100 $200 $300 $400 $500
Round 2 Final Jeopardy The Basics Get that Angle I Can Transform Ya Triangle Twins Polygon Party Prove It! Grab Bag $100 $100 $100 $100 $100 $100 $100 $200 $200 $200 $200 $200 $200 $200 $300 $300 $300
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 Date Class. When the bases are the same and you multiply, you add exponents. When the bases are the same and you divide, you subtract exponents.
2-1 Integer Exponents A positive exponent tells you how many times to multiply the base as a factor. A negative exponent tells you how many times to divide by the base. Any number to the 0 power is equal
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 information1.8 Composition of Transformations
1.8. Composition of Transformations www.ck12.org 1.8 Composition of Transformations Here you ll learn how to perform a composition of transformations. You ll also learn some common composition of transformations.
More informationMath 2 Final Exam Study Guide. Translate down 2 units (x, y-2)
Math 2 Final Exam Study Guide Name: Unit 2 Transformations Translation translate Slide Moving your original point to the left (-) or right (+) changes the. Moving your original point up (+) or down (-)
More informationGeometry. Cluster: Experiment with transformations in the plane. G.CO.1 G.CO.2. Common Core Institute
Geometry Cluster: Experiment with transformations in the plane. G.CO.1: Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of
More informationYEC Geometry Scope and Sequence Pacing Guide
YEC Scope and Sequence Pacing Guide Quarter 1st 2nd 3rd 4th Units 1 2 3 4 5 6 7 8 G.CO.1 G.CO.2 G.CO.6 G.CO.9 G.CO.3 G.CO.7 G.CO.10 G.CO.4 G.CO.8 G.CO.11 Congruence G.CO.5 G.CO.12 G.CO.13 Similarity, Right
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 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 informationCCGPS UNIT 5 Semester 2 COORDINATE ALGEBRA Page 1 of 38. Transformations in the Coordinate Plane
CCGPS UNIT 5 Semester 2 COORDINATE ALGEBRA Page 1 of 38 Transformations in the Coordinate Plane Name: Date: MCC9-12.G.CO.1 Know precise definitions of angle, circle, perpendicular line, parallel line,
More informationGraphing Absolute Value Functions
Graphing Absolute Value Functions To graph an absolute value equation, make an x/y table and plot the points. Graph y = x (Parent graph) x y -2 2-1 1 0 0 1 1 2 2 Do we see a pattern? Desmos activity: 1.
More informationGeometry Common Core State Standard (CCSS) Math
= ntroduced R=Reinforced/Reviewed HGH SCHOOL GEOMETRY MATH STANDARDS 1 2 3 4 Congruence Experiment with transformations in the plane G.CO.1 Know precise definitions of angle, circle, perpendicular line,
More informationCommon core standards from Grade 8 Math: General categories/domain:
Common core standards from Grade 8 Math: General categories/domain: 1. Ratio and Proportional Relationship (5 %) 2. Then Number System (5 %) 3. Expressions and Equations (25%) 4. (25 %) 5. Geometry (20
More informationModule 1 Session 1 HS. Critical Areas for Traditional Geometry Page 1 of 6
Critical Areas for Traditional Geometry Page 1 of 6 There are six critical areas (units) for Traditional Geometry: Critical Area 1: Congruence, Proof, and Constructions In previous grades, students were
More informationIsometries and Congruence
Honors Geometr Section.1 Name: Date: Period: Isometries and Congruence transformation of a geometric figure is a change in its position, shape, or size.. The original figure is called the preimage. The
More information2. The pentagon shown is regular. Name Geometry Semester 1 Review Guide Hints: (transformation unit)
Name Geometry Semester 1 Review Guide 1 2014-2015 1. Jen and Beth are graphing triangles on this coordinate grid. Beth graphed her triangle as shown. Jen must now graph the reflection of Beth s triangle
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 informationGeometry: Unit 1: Transformations. Chapter 14 (In Textbook)
Geometry: Unit 1: Transformations Chapter 14 (In Textbook) Transformations Objective: Students will be able to do the following, regarding geometric transformations. Write Transformations Symbolically
More informationGeometry Mathematical Common Core State Standards
Unit 1: Congruence, Proof, and Constructions G.CO.1 Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance
More informationWarm - Up. Sunday, February 1, HINT: plot points first then connect the dots. Draw a graph with the following characteristics:
Warm - Up Sunday, February 1, 2015 Draw a graph with the following characteristics: Maximums at (-3,4) and (2,2) Minimum at (-1,-3) X intercepts at (-4,0), (-2,0), (1,0), and (3,0) Y intercept at (0,-2)
More informationOhio Tutorials are designed specifically for the Ohio Learning Standards to prepare students for the Ohio State Tests and end-ofcourse
Tutorial Outline Ohio Tutorials are designed specifically for the Ohio Learning Standards to prepare students for the Ohio State Tests and end-ofcourse exams. Math Tutorials offer targeted instruction,
More informationAugust 3 - August 31
Mathematics Georgia Standards of Excellence Geometry Parent Guide Unit 1 A All About Our Unit of Study Transformations in the Coordinate Plane August 3 - August 31 In this unit students will perform transformations
More informationUNIT 1 SIMILARITY, CONGRUENCE, AND PROOFS Lesson 4: Exploring Congruence Instruction
Prerequisite Skills This lesson requires the use of the following skills: constructing perpendicular bisectors copying a segment copying an angle Introduction Think about trying to move a drop of water
More informationFunctions and Isometries OBJECTIVE #: G.CO.2
OBJECTIVE #: G.CO.2 OBJECTIVE Represent transformations in the plane using, e.g., transparencies and geometry software; describe transformations as functions that take points in the plane as inputs and
More information9 3 Rotations 9 4 Symmetry
h 9: Transformations 9 1 Translations 9 Reflections 9 3 Rotations 9 Smmetr 9 1 Translations: Focused Learning Target: I will be able to Identif Isometries. Find translation images of figures. Vocabular:
More informationGeometry Unit & Lesson Overviews Mathematics. Unit: 1.1 Foundations of Geometry Days : 8
Unit: 1.1 Foundations of Geometry Days : 8 How do you use undefined terms as the basic elements of Geometry? What tools and methods can you use to construct and bisect segments and angles? How can you
More informationGeometry. Transformations. Slide 1 / 273 Slide 2 / 273. Slide 4 / 273. Slide 3 / 273. Slide 5 / 273. Slide 6 / 273.
Slide 1 / 273 Slide 2 / 273 Geometry Transformations 2015-10-26 www.njctl.org Slide 3 / 273 Slide 4 / 273 Table of ontents Transformations Translations Reflections Rotations Identifying Symmetry with Transformations
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 informationUnit Activity Correlations to Common Core State Standards. Geometry. Table of Contents. Geometry 1 Statistics and Probability 8
Unit Activity Correlations to Common Core State Standards Geometry Table of Contents Geometry 1 Statistics and Probability 8 Geometry Experiment with transformations in the plane 1. Know precise definitions
More informationAssignment 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,
More informationMADISON ACADEMY GEOMETRY PACING GUIDE
MADISON ACADEMY GEOMETRY PACING GUIDE 2018-2019 Standards (ACT included) ALCOS#1 Know the precise definitions of angle, circle, perpendicular line, parallel line, and line segment based on the undefined
More informationOhio Tutorials are designed specifically for the Ohio Learning Standards to prepare students for the Ohio State Tests and end-ofcourse
Tutorial Outline Ohio Tutorials are designed specifically for the Ohio Learning Standards to prepare students for the Ohio State Tests and end-ofcourse exams. Math Tutorials offer targeted instruction,
More informationVocabulary for Student Discourse Pre-image Image Rotate Symmetry Transformation Rigid transformation Congruent Mapping Point of symmetry
Lesson 4 - page 1 Title: Rotations and Symmetry I. Before Engagement Duration: 2 days Knowledge & Skills Understand transformations as operations that map a figure onto an image Understand characteristics
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 information