Name. YouTube Playlist:
|
|
|
- Darcy Holmes
- 5 years ago
- Views:
Transcription
1 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 translations of points, segments, and figures. b. Perform and identify rotations of points, segments, and figures. c. Perform and identify reflections of points, segments, and figures. Target 3: Perform multiple transformations to determine coordinates and location of the image. Date Target Assignment Done! T Worksheet W Tessellations R 9-7 Quiz 2.1 Quiz F a 2.2a Worksheet M b 2.2b Worksheet T b 2.2b Day 2 W c 2.2c Worksheet R Quiz Review F 9-15 Quiz 2.2 Quiz M Day 1 Worksheet T Day 2 Worksheet W 9-20 Quiz 2.3 Quiz R 9-21 Rev Unit 2 Test Review F 9-22 Test Unit 2 Test YouTube Playlist: Name
2 2.1 Transformations and Congruent Figures Target 1 Identify and determine congruent parts given a rigid motion Vocabulary Transformation: change of or of a figure. (location, size) Type of Transformations What s a rigid motion? Example 1: Using rigid motions Identify the type of transformation shown. What symbol is used to mean congruence? Example 2: Congruent Figures The figures below are congruent. Identify the following: All pairs of congruent angles, congruent pairs of sides, and the congruent statement.
3 YOU TRY NOW! 1. The triangles below are congruent. Which of the statements below are true? Circle all that apply. A) ABC XZY B) BAC XZY C) AB ZX D) BCA XYZ E) CBA YXZ 2. What type of rigid motion relates the two shoes? 3. Is this an example of a rigid motion? Explain below. Explanation: YouTryNow 1. B, C, E 2. rotation 3. Yes, the figures are the same size same shape. The rigid motion is a reflection.
4 2.2a Translations Target 2 Perform and identify rigid motions of points, segments, and figures Vocabulary the of a figure after a transformation. Pre image the position of a(n) prior to a transformation. Isometry a in which the pre-image and its image are. Example 1: Translate a figure in the coordinate plane Graph and label the quadrilateral ABCD with vertices A( -2, 6), B( 2, 4), C(2,1), and D( -2, 3). Find the image of each vertex after the translation: (x, y) (x +3, y 3). Then graph the image using prime notation. (new position, original figure, transformation, congruent) Example 2: Write a translation rule and verify congruence Write a rule for the translation of ABC to A B C. Then verify that the transformation is an isometry. YOU TRY NOW! 1. Graph and label image of the figure using the translation given a) 1 unit right & 2 units down. b) 4 units left & 3 units up YouTryNow 1a) T (-4, -3), I (-3, -5), E (0, -3) 1b) X (-2, 3), G (0, 3), U (-1, -1), Q (-2, 1)
5
6 YOU TRY NOW! 2. Graph and label the image of the figure using the given translation rule c) (x, y) (x 2, y + 1) d) (x, y) (x + 4, y 4) 3. Write the rule in proper notation to describe each translation Proper notation: (x, y) (x ±, y ± ) a) pre-image on the right b) pre-image on the left Rule: Rule: 4. Find the coordinates of the vertices of each figure after the given translation. 3 units to the right and 6 units down Z ( -4, -3), I(-2, -2), V(-2, -4) QUESTIONS OR REFLECTION Write down at most 2 questions that you can ask the next day. BE SPECIFIC YouTryNow 2a)Y (-1, 4), M (-1, 3), Q (0, 1), T (2, 1) 2b) E (4, -1), W (0, -2), G (0, -4) 3a) (x, y) (x 4, y + 2) 3b) (x, y) (x + 4, y 2) 4) Z (-1, -9), I (1, -8), V (1, -10)
7 2.2b Rotations Target 2 Perform and identify rigid motions of points, segments, and figures Vocabulary Rotation: a transformation that moves a figure along a path about a called the. Angle of rotation: can be both and. Angle of rotation is defined by two rays where one goes from the to a starting point on the figure and the other goes from the center of rotation to the corresponding final point on the figure. AT HOME Example 1: Rotate the pre image 90 degrees about the origin Write the coordinates of the pre-image and the image below. Clockwise (CW) Counterclockwise (CCW) (circular, fixed point, center of rotation) (clockwise, counterclockwise, center of rotation) SCAN FOR EXTRA SUPPORT SCAN ME FOR EXAMPLE 1 REFLECTION/ANALYSIS What do you notice about the corresponding coordinates of the preimage and the image? Write your predictions below Having difficulty? Write a question below to ask the next day. REMEMBER to ask!
8 IN CLASS Example 2: Rotate the pre image 180 degrees about the origin. Write the coordinates of the pre-image and the image below. (CW)/(CCW) REFLECTION/ANALYSIS What do you notice about the corresponding coordinates of the pre-image and the image? Write your thoughts below. Having difficulty? Write a question below to ask the next day. REMEMBER to ask! IN CLASS Example 3: Rotate the pre image 270 degrees about the origin Write the coordinates of the pre-image and the image below. (CCW) REFLECTION/ANALYSIS What do you notice about the corresponding coordinates of the pre-image and the image? Write your thoughts below. Coordinates
9 2.2c Reflections Target 2 Perform and identify rigid motions of points, segments, and figures Vocabulary Line of Reflection: also called the, the axis that a figure is reflected about forming a congruent image that is symmetrical to the its original (axis of symmetry) AT HOME Example 1: Reflect each image over the given line of reflection to find coordinates of the image. Write the coordinates of the pre-image and the image below. (Over the x-axis) (Over the y-axis) SCAN ME FOR EXAMPLE 1 Coordinates Coordinates REFLECTION/ANALYSIS What is the line called that helps you visually see how a figure is being reflected? What do you notice about the corresponding coordinates of the preimage and the image? Write your thoughts below.
10 IN CLASS Example 2: Reflect each image over the given line of reflection to find coordinates of the image. Write the coordinates of the pre-image and the image below (Over the line of x = 3) (Over the line of y = -2) Coordinates Coordinates REFLECTION/ANALYSIS Which direction do x = any number equations go?(horizontal or vertical) What direction do y = any number equations go?( horizontal or vertical)
11 2.3 - Compositions Target 3 Perform multiple transformations to determine coordinates and location of the image Vocabulary Glide Reflection: a transformation in the plane that is a combination of a and a through a line parallel to that line of reflection Composition of transformations: When two ore more transformations are combined to form a new transformation. (line reflection, translation) Example 1: Find the image of a glide reflection The vertices of ABC are A(2, 1), B(5, 3), and C(6, 2). Find the coordinates image of ABC AFTER the glide relfection. FIRST: TRANSLATE: (x, y) (x 8, y) THEN REFLECT the translated figure in the x-axis A ( ) B ( ) C ( ) Coordinates of the GLIDE REFLECTION: Example 2: Describing the composition of transformations In the diagram, the coordinates of triangle ABC are given. Describe the composition of transformations from ABC to A B C to A B C. Write each rule for each transformation. Rule for ABC to A B C Rule for A B C to A B C
12 YOU TRY NOW! 1. The vertices of ABC are A(-6, 2), B(4,-3), and C(4, 2). Find the coordinates image of ABC after the glide relfection. Graph and label the composition. Transformation 1: Reflect in the y axis Transformation 2: the translated figure(x, y) (x 4, y+7) A ( ) B ( ) C ( ) YouTryNow 1. A (6, 2), B (-4, 3), C (-4, 2) A (2, 9), B (0, -4), C (0, 9)
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
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.
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
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
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
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
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
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
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
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
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
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
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
Name: 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
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
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
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
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
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
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
1.8 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.
Geometry Unit 4 Note Sheets Date Name of Lesson. Tangrams Activity. Rigid Motions. Translations. Symmetry. Quiz. Reflections.
Date Name of Lesson Tangrams Activity Rigid Motions Translations Symmetry Quiz Reflections Rotations Transformations Poster Activity Transformations Poster Activity Review of Transformations Composition
Transformations and Congruence Test 2 Review
Transformations and Congruence Test 2 Review 1.To understand the different transformations: Be able to define and understand transformations (rotation, reflection, dilation, translation, glide reflection,
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,
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,
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
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
Honors 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.
Chapter 12 Transformations: Shapes in Motion
Name Geometry Honors Date Per. Teacher Chapter 12 Transformations: Shapes in Motion 1 Table of Contents Reflections Day 1.... Page 3 Translations Day 2....... Page 10 Rotations/Dilations Day 3.... Page
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
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,
8. 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.
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
Date Target Assignment Done! W Review Worksheet. F 9-30 Project Cartoon Enlargement Project. T a 3.
Unit 3 Similar Figures and Dilations 2016-2017 Unit 3 Similar Figures and Dilations Target 1: Use proportions to identify lengths of corresponding parts in similar figures. Target 2: Perform and identify
Geometry. 4.4 Congruence and Transformations
Geometry 4.4 Congruence and Transformations 4.4 Warm Up Day 1 Plot and connect the points in a coordinate plane to make a polygon. Name the polygon. 1. A( 3, 2), B( 2, 1), C(3, 3) 2. E(1, 2), F(3, 1),
Geometry. 4.4 Congruence and Transformations
Geometry 4.4 Congruence and Transformations 4.4 Warm Up Day 1 Plot and connect the points in a coordinate plane to make a polygon. Name the polygon. 1. A(-3, 2), B(-2, 1), C(3, 3) 2. E(1, 2), F(3, 1),
Learning 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:
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
CCGPS 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,
North 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
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
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
August 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
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.
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
CC 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
Isometries 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
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.
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
Protractor Dilation Similar figures Scale Factor Reduction Counterclockwise Enlargement Ratio Symmetry Line of symmetry line (reflectional)
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
Pre-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
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.
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
Section 5: Introduction to Polygons Part 2
Section 5: Introduction to Polygons Part 2 Topic 1: Compositions of Transformations of Polygons Part 1... 109 Topic 2: Compositions of Transformations of Polygons Part 2... 111 Topic 3: Symmetries of Regular
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
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
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
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.
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
Chapter 8. Properties of Triangles and Quadrilaterals. 02/2017 LSowatsky
Chapter 8 Properties of Triangles and Quadrilaterals 02/2017 LSowatsky 1 8-1A: Points, Lines, and Planes I can Identify and label basic geometric figures. LSowatsky 2 Vocabulary: Point: a point has no
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,
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
GEOMETRY 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
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
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
1-7 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.
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
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
H.Geometry Chapter 7 Definition Sheet
Section 7.1 (Part 1) Definition of: - A mapping of points in a figure to points in a resulting figure - Manipulating an original figure to get a new figure - The original figure - The resulting figure
TRANSFORMATIONS. The original figure is called the pre-image; the new (copied) picture is called the image of the transformation.
Quiz Review Sheet A transformation is a correspondence that maps a point. TRANSFORMATIONS The original figure is called the pre-image; the new (copied) picture is called the image of the transformation.
Study Guide - Chapter 6
8 th Grade Name Date Period Study Guide - Chapter 6 1) Label each quadrant with I, II, III, or IV. 2) Use your knowledge of rotations to name the quadrant that each point below will land in after the rotation
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
Helpful Hint When you are given a frieze pattern, you may assume that the pattern continues forever in both directions Notes: Tessellations
A pattern has translation symmetry if it can be translated along a vector so that the image coincides with the preimage. A frieze pattern is a pattern that has translation symmetry along a line. Both of
Reflections and Rotations TEACHER NOTES
Math Objectives Rotate and reflect two-dimensional figures in a coordinate plane. Analyze the coordinates of numerous rotated and reflected figures to determine the rules of geometric transformations.
R(-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
Point A location in geometry. A point has no dimensions without any length, width, or depth. This is represented by a dot and is usually labelled.
Test Date: November 3, 2016 Format: Scored out of 100 points. 8 Multiple Choice (40) / 8 Short Response (60) Topics: Points, Angles, Linear Objects, and Planes Recognizing the steps and procedures for
I 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
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
Lesson Plan #41. Class: Geometry Date: Monday December 17 th, 2018
Lesson Plan #41 Class: Geometry Date: Monday December 17 th, 2018 Topic: Rotations Objectives: 1) Students will be review line and point symmetry. 2) Students will be able to define a rotation. 3) Students
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,
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
Lesson 1. Unit 2 Practice Problems. Problem 2. Problem 1. Solution 1, 4, 5. Solution. Problem 3
Unit 2 Practice Problems Lesson 1 Problem 1 Rectangle measures 12 cm by 3 cm. Rectangle is a scaled copy of Rectangle. Select all of the measurement pairs that could be the dimensions of Rectangle. 1.
Perry High School. Geometry: S2W6
Geometry: S2W6 Monday: 7.1 Rigid Motion in a Plane Pre-reading due Tuesday: 7.1 Work Day Wednesday: 7.2 Reflections Pre-reading due Thursday: 7.2 Work Day Friday: 7.3 Rotations Pre-reading due Next Week:
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,
$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
Geometry. 4.2 Reflections
Geometry 4.2 Reflections 4.2 Warm Up 1. Write a rule for the translation of LMN to L M N. For #2-5, use the translation. (x, y) (x 8, y + 4) 2. What is the image of A(2, 6)? 3. What is the image of B(
Geometry: 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
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
Copyright 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,
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?
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,
Unit 3SimilarFigures and Dilations
Unit 3 Similar Figures and Dilations Unit 3SimilarFigures and Dilations Target 1 Use proportions to identify lengths of corresponding parts in similar figures Target 2 Perform and identify dilations Target
Chapter 8 Transformations and Congruence
Lesson 8-1 Translations Page 559 Graph ABC with vertices A(1, 2), B(3, 1), and C(3, 4). Then graph the image of the triangle after it is translated 2 units left and 1 unit up, and write the coordinates
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
Properties 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
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
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
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
Properties 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
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,
Did you say transformations or transformers?
Did you say transformations or transformers? Tamara Bonn Indian Springs High School-SBCUSD Tamara.bonn@sbcusd.k12.ca.us 1 Standards: Geometry: Understand congruence and similarity using physical models,