Content Standards G.CO.4 Develop definitions of rotations, reflections, and translations in terms of angles, circles, perpendicular lines, parallel
|
|
- Rosalind Pope
- 5 years ago
- Views:
Transcription
1 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 and a rotation, reflection, or translation, draw the transformed figure using, e.g., graph paper, tracing paper, or geometry software. Specify a sequence of transformations that will carry a given figure onto another. Mathematical Practices 5 Use appropriate tools strategically. 7 Look for and make use of structure.
2 You identified reflections and verified them as congruence transformations. Draw reflections. Draw reflections in the coordinate plane.
3 line of reflection
4
5 Reflect a Figure in a Line Draw the reflected image of quadrilateral WXYZ in line p.
6 Draw the reflected image of quadrilateral ABCD in line n. A. B. C. D.
7 Minimize Distance by Using a Reflection BILLIARDS Suppose that you must bounce the cue ball off side A before it rolls into the pocket at B. Locate the point C along side A that the ball must hit to ensure that it will roll directly toward the pocket.
8 MINIATURE GOLF Omar is playing miniature golf at a local course. Because a wall is blocking his direct shot, he needs to bounce the ball off wall W and hit the hole located at point H. Which of these steps would be needed to determine where on wall W Omar should aim? A. Determine how far the obstructing wall is from the ball. B. Reflect point H over the line formed by wall W. C. Determine the exact length of wall W. D. Find the perpendicular distance from the hole to the wall.
9 Reflect a Figure in a Horizontal or Vertical Line A. Quadrilateral JKLM has vertices J(2, 3), K(3, 2), L (2, 1), and M(0, 1). Graph JKLM and its image over x = 1.
10 Reflect a Figure in a Horizontal or Vertical Line B. Quadrilateral JKLM has vertices J(2, 3), K(3, 2), L (2, 1), and M(0, 1). Graph JKLM and its image over y = 2.
11 A. Quadrilateral ABCD has vertices A(1, 2), B(0, 1), C(1, 2), and D(3, 0). Graph ABCD and its image over x = 2. A. B. C. D.
12 B. Quadrilateral WXYZ has vertices W(2, 4), X(3, 3), Y(2, 0), and Z(0, 2). Graph WXYZ and its image over y = 1. A. B. C. D.
13
14 Reflect a Figure in the x- or y-axis A. Graph quadrilateral ABCD with vertices A(1, 1), B(3, 2), C (4, 1), and D(2, 3) and its image reflected in the x-axis.
15 Reflect a Figure in the x- or y-axis B. Graph quadrilateral ABCD with vertices A(1, 1), B(3, 2), C(4, 1), and D(2, 3) and its reflected image in the y-axis.
16 A. Graph quadrilateral LMNO with vertices L(3, 1), M(5, 2), N(6, 1), and O(4, 3) and its reflected image in the x-axis. Select the correct coordinates for the new quadrilateral L'M'N'O'. A. L'(3, 1), M'(5, 2), N'(6, 1), O'(4, 3) B. L'( 3, 1), M'( 5, 2), N'( 6, 1), O'( 4, 3) C. L'( 3, 1), M'( 5, 2), N'( 6, 1), O'( 4, 3) D. L'(1, 3), M'(2, 5), N'( 1, 6), O'( 3, 4)
17 B. Graph quadrilateral LMNO with vertices L( 1, 0), M (1, 1), N(2, 2), and O(0, 4) and its reflected image under the y-axis. Select the correct coordinates for the point M' in the new quadrilateral L'M'N'O'. A. L'( 1, 0), M'(1, 1), N'(2, 2), O'(0, 4) B. L'(1, 0), M'( 1, 1), N'( 2, 2), O'(0, 4) C. L'(1, 0), M'( 1, 1), N'( 2, 2), O'(0, 4) D. L'(0, 1), M'(1, 1), N'( 2, 2), O'( 4, 0)
18
19 Reflect a Figure in the Line y = x Quadrilateral ABCD with vertices A(1, 1), B(3, 2), C(4, 1), and D(2, 3). Graph ABCD and its image under reflection of the line y = x.
20 Quadrilateral EFGH has vertices E( 3, 1), F( 1, 3), G(1, 2), and H( 3, 1). Graph EFGH and its image under reflection of the line y = x. Select the correct coordinates for the point H' in the new quadrilateral E'F'G'H'. A. E'( 3, 1), F'( 1, 3), G'(1, 2), H'( 3, 1) B. E'(3, 1), F'(1, 3), G'( 1, 2), H'(3, 1) C. E'(1, 3), F'(3, 1), G'(2, 1), H'( 1, 3) D. E'( 1, 3), F'( 3, 1), G'( 2, 1), H'(1, 3)
21
22 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 and a rotation, reflection, or translation, draw the transformed figure using, e.g., graph paper, tracing paper, or geometry software. Specify a sequence of transformations that will carry a given figure onto another. Mathematical Practices 5 Use appropriate tools strategically. 4 Model with mathematics
23 You found the magnitude and direction of vectors. Draw translations. Draw translations in the coordinate plane.
24 translation vector
25
26 Draw a Translation Copy the figure and given translation vector. Then draw the translation of the figure along the translation vector.
27 Which of the following shows the translation of ΔABC along the translation vector? A. B. C. D.
28
29 Translations in the Coordinate Plane A. Graph ΔTUV with vertices T( 1, 4), U(6, 2), and V(5, 5) along the vector 3, 2.
30 Translations in the Coordinate Plane B. Graph pentagon PENTA with vertices P(1, 0), E(2, 2), N(4, 1), T(4, 1), and A(2, 2) along the vector 5, 1.
31 A. Graph ΔABC with the vertices A( 3, 2), B(4, 4), C(3, 3) along the vector 1, 3. Choose the correct coordinates for ΔA'B'C'. A. A'( 2, 5), B'(5, 1), C'(4, 6) B. A'( 4, 2), B'(3, 4), C'(2, 3) C. A'(3, 1), B'( 4, 7), C'(1, 0) D. A'( 4, 1), B'(3, 7), C'(2, 0)
32 B. Graph ΔGHJK with the vertices G( 4, 2), H( 4, 3), J(1, 3), K(1, 2) along the vector 2, 2. Choose the correct coordinates for ΔG'H'J'K'. A. G'( 6, 4), H'( 6, 1), J'(1, 1), K'(1, 4) B. G'( 2, 4), H'( 2, 1), J'(3, 1), K'(3, 4) C. G'( 2, 0), H'( 2, 5), J'(3, 5), K'(3, 0) D. G'( 8, 4), H'( 8, 6), J'(2, 6), K'(2, 4)
33 Describing Translations A. ANIMATION The graph shows repeated translations that result in the animation of the raindrop. Describe the translation of the raindrop from position 2 to position 3 in function notation and in words.
34 Describing Translations B. ANIMATION The graph shows repeated translations that result in the animation of the raindrop. Describe the translation of the raindrop from position 3 to position 4 using a translation vector.
35 A. The graph shows repeated translations that result in the animation of the soccer ball. Choose the correct translation of the soccer ball from position 2 to position 3 in function notation. A. (x, y) (x + 3, y + 2) B. (x, y) (x + ( 3), y + ( 2)) C. (x, y) (x + ( 3), y + 2) D. (x, y) (x + 3, y + ( 2))
36 B. The graph shows repeated translations that result in the animation of the soccer ball. Describe the translation of the soccer ball from position 3 to position 4 using a translation vector. A. 2, 2 B. 2, 2 C. 2, 2 D. 2, 2
37 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 and a rotation, reflection, or translation, draw the transformed figure using, e.g., graph paper, tracing paper, or geometry software. Specify a sequence of transformations that will carry a given figure onto another. Mathematical Practices 2 Reason abstractly and quantitatively. 5 Use appropriate tools strategically.
38 You identified rotations and verified them as congruence transformations. Draw rotations. Draw rotations in the coordinate plane.
39 center of rotation angle of rotation
40
41 Draw a Rotation Rotate quadrilateral RSTV 45 counterclockwise about point A.
42 For the diagram, which description best identifies the rotation of triangle ABC around point Q? A. 20 clockwise B. 20 counterclockwise C. 90 clockwise D. 90 counterclockwise
43
44 Rotations in the Coordinate Plane Triangle DEF has vertices D( 2, 1), E( 1, 1), and F (1, 1). Graph ΔDEF and its image after a rotation of 115 clockwise about the point G( 4, 2).
45 Triangle ABC has vertices A(1, 2), B(4, 6), and C(1, 6). Draw the image of ΔABC under a rotation of 70 counterclockwise about the point M( 1, 1). A. B. C. D.
46 Hexagon DGJTSR is shown below. What is the image of point T after a 90 counterclockwise rotation about the origin? A (5, 3) B ( 5, 3) C ( 3, 5) D (3, 5) Rotations in the Coordinate Plane
47 Triangle PQR is shown below. What is the image of point Q after a 90 counterclockwise rotation about the origin? A. ( 5, 4) B. ( 5, 4) C. (5, 4) D. (4, 5)
48 Content Standards G.CO.2 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 give other points as outputs. Compare transformations that preserve distance and angle to those that do not (e.g., translation versus horizontal stretch). G.CO.5 Given a geometric figure and a rotation, reflection, or translation, draw the transformed figure using, e.g., graph paper, tracing paper, or geometry software. Specify a sequence of transformations that will carry a given figure onto another. Mathematical Practices 1 Make sense of problems and persevere in solving them. 4 Model with mathematics.
49 You drew reflections, translations, and rotations. Draw glide reflections and other compositions of isometries in the coordinate plane. Draw compositions of reflections in parallel and intersecting lines.
50 composition of transformations glide reflection
51
52 Graph a Glide Reflection Quadrilateral BGTS has vertices B( 3, 4), G( 1, 3), T ( 1, 1), and S( 4, 2). Graph BGTS and its image after a translation along 5, 0 and a reflection in the x-axis.
53 Graph a Glide Reflection
54 Quadrilateral RSTU has vertices R(1, 1), S(4, 2), T (3, 4), and U(1, 3). Graph RSTU and its image after a translation along 4, 1 and a reflection in the x-axis. Which point is located at ( 3, 0)? A. R' B. S' C. T' D. U'
55
56 Graph Other Compositions of Isometries ΔTUV has vertices T(2, 1), U(5, 2), and V(3, 4). Graph ΔTUV and its image after a translation along 1, 5 and a rotation 180 about the origin.
57 Graph Other Compositions of Isometries
58 ΔJKL has vertices J(2, 3), K(5, 2), and L(3, 0). Graph ΔTUV and its image after a translation along 3, 1 and a rotation 180 about the origin. What are the new coordinates of L''? A. ( 3, 1) B. ( 6, 1) C. (1, 6) D. ( 1, 6)
59
60
61 Reflect a Figure in Two Lines Copy and reflect figure EFGH in line p and then line q. Then describe a single transformation that maps EFGH onto E''F''G''H''.
62 Copy and reflect figure ABC in line s and then line t. Then describe a single transformation that maps ABC onto A''B''C''. A. ABC is reflected across lines and translated down 2 inches. B. ABC is translated down 2 inches onto A''B''C''. C. ABC is translated down 2 inches and reflected across line t. D. ABC is translated down 4 inches onto A''B''C''.
63 Describe Transformations A. LANDSCAPING Describe the transformations that are combined to create the brick pattern shown.
64 Describe Transformations B. LANDSCAPING Describe the transformations that are combined to create the brick pattern shown.
65 A. What transformation must occur to the brick at point M to further complete the pattern shown here? A. The brick must be rotated 180 counterclockwise about point M. B. The brick must be translated one brick width right of point M. C. The brick must be rotated 90 counterclockwise about point M. D. The brick must be rotated 360 counterclockwise about point M.
66 B. What transformation must occur to the brick at point M to further complete the pattern shown here? A. The two bricks must be translated one brick length to the right of point M. B. The two bricks must be translated one brick length down from point M. C. The two bricks must be rotated 180 counterclockwise about point M. D. The two bricks must be rotated 90 counterclockwise about point M.
67
68 Content Standards G.CO.3 Given a rectangle, parallelogram, trapezoid, or regular polygon, describe the rotations and reflections that carry it onto itself. Mathematical Practices 4 Model with mathematics. 8 Look for and express regularity in repeated reasoning.
69 You drew reflections and rotations of figures. Identify line and rotational symmetries in two-dimensional figures. Identify line and rotational symmetries in three-dimensional figures.
70 symmetry plane symmetry line symmetry axis symmetry line of symmetry rotational symmetry center of symmetry order of symmetry magnitude of symmetry
71
72 Identify Line Symmetry A. KALEIDOSCOPES State whether the object appears to have line symmetry. Write yes or no. If so, draw all lines of symmetry, and state their number.
73 Identify Line Symmetry B. KALEIDOSCOPES State whether the object appears to have line symmetry. Write yes or no. If so, draw all lines of symmetry, and state their number.
74 Identify Line Symmetry C. KALEIDOSCOPES State whether the object appears to have line symmetry. Write yes or no. If so, draw all lines of symmetry, and state their number.
75 A. State whether the figure appears to have line symmetry. Write yes or no. If so, state their number. A. yes; 1 line B. yes; 2 lines C. yes; 3 lines D. no
76 B. State whether the figure appears to have line symmetry. Write yes or no. If so, state their number. A. yes; 1 line B. yes; 2 lines C. yes; 4 lines D. no
77 C. State whether the figure appears to have line symmetry. Write yes or no. If so, state their number. A. yes; 1 line B. yes; 2 lines C. yes; 4 lines D. no
78
79 Identify Rotational Symmetry A. State whether the figure has rotational symmetry. Write yes or no. If so, locate the center of symmetry, and state the order and magnitude of symmetry.
80 Identify Rotational Symmetry B. State whether the figure has rotational symmetry. Write yes or no. If so, locate the center of symmetry, and state the order and magnitude of symmetry.
81 Identify Rotational Symmetry C. State whether the figure has rotational symmetry. Write yes or no. If so, locate the center of symmetry, and state the order and magnitude of symmetry.
82 A. State whether the figure has rotational symmetry. If so, state the order and magnitude of symmetry. A. Yes, order 8 and magnitude 45 B. Yes, order 4 and magnitude 90 C. Yes, order 4 and magnitude 180 D. No, the figure does not have rotational symmetry.
83 B. State whether the figure has rotational symmetry. If so, state the order and magnitude of symmetry. A. Yes, order 8 and magnitude 45 B. Yes, order 6 and magnitude 60 C. Yes, order 4 and magnitude 90 D. No, the figure does not have rotational symmetry.
84 C. State whether the figure has rotational symmetry. If so, state the order and magnitude of symmetry. A. Yes, order 3 and magnitude 90 B. Yes, order 4 and magnitude 90 C. Yes, order 2 and magnitude 180 D. No, the figure does not have rotational symmetry.
85
86 Three-Dimensional Symmetry A. State whether the figure has plane symmetry, axis symmetry, both, or neither.
87 Three-Dimensional Symmetry B. State whether the figure has plane symmetry, axis symmetry, both, or neither.
88 A. State whether the figure has plane symmetry, axis symmetry, both or neither. A. plane symmetry B. axis symmetry C. both D. neither
89 B. State whether the figure has plane symmetry, axis symmetry, both or neither. A. plane symmetry B. axis symmetry C. both D. neither
90 Content Standards G.CO.2 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 give other points as outputs. Compare transformations that preserve distance and angle to those that do not (e.g., translation versus horizontal stretch). G.SRT.1 Understand similarity in terms of similarity transformations. Verify experimentally the properties of dilations given by a center and a scale factor: a. A dilation takes a line not passing through the center of the dilation to a parallel line, and leaves a line passing through the center unchanged. b. The dilation of a line segment is longer or shorter in the ratio given by the scale factor. Mathematical Practices 1 Make sense of problems and persevere in solving them. 5 Use appropriate tools strategically.
91 You identified dilations and verified them as similarity transformations. Draw dilations. Draw dilations in the coordinate plane.
92
93 Draw a Dilation Copy trapezoid PQRS and point C. Then use a ruler to draw the image of trapezoid PQRS under a dilation with center C and scale factor 3.
94 Which diagram shows the dilation image of ΔLMN with center C and? A. B. C. D.
95 Find the Scale Factor of a Dilation PUPPETS To create the illusion of a life-sized image, puppeteers sometimes use a light source to show an enlarged image of a puppet projected on a screen or wall. Suppose that the distance between a light source L and the puppet is 24 inches (LP). To what distance PP' should you place the puppet from the screen to create a 49.5-inch tall shadow (I'M') from a 9-inch puppet?
96 Find the Scale Factor of a Dilation
97 PUPPETS Suppose you have a similar situation with the puppet and light source. The distance between the light source L and the puppet is 30 inches (LP). To what distance should you place the puppet from the screen to create a 54-inch tall shadow (I'M') from a 6-inch puppet? A. 100 inches B. 180 inches C. 220 inches D. 240 inches
98
99 Dilations in the Coordinate Plane Trapezoid EFGH has vertices E( 8, 4), F( 4, 8), G(8, 4) and H( 4, 8). Graph the image of EFGH after a dilation centered at the origin with a scale factor of
100 Dilations in the Coordinate Plane
101 Triangle ABC has vertices A( 1, 1), B(2, 2), and C( 1, 2). Find the image of ΔABC after a dilation centered at the origin with a scale factor of 2. Sketch the preimage and the image. A. B. C. D. none of the above
Geometry Unit 1: Transformations in the Coordinate Plane. Guided Notes
Geometry Unit 1: Transformations in the Coordinate Plane Guided Notes Standard: MGSE9 12.G.CO.1 Know precise definitions Essential Question: What are the undefined terms essential to any study of geometry?
More informationUnit 5: Transformations in the Coordinate Plane
Unit 5: Transformations in the Coordinate Plane In this unit, students review the definitions of three types of transformations that preserve distance and angle: rotations, reflections, and translations.
More information4-7 Study Guide and Intervention Congruence Transformations
4-7 Study Guide and Intervention Congruence Transformations Identify Congruence Transformations A congruence transformation is a transformation where the original figure, or preimage, and the transformed
More informationUNIT 1: TRANSFORMATIONS IN THE COORDINATE PLANE
UNIT 1: TRANSFORMATIONS IN THE COORDINATE PLANE Unit 1: Transformations in the Coordinate Plane In this unit, students review the definitions of three types of transformations that preserve distance and
More informationChapter 2: Transformations. Chapter 2 Transformations Page 1
Chapter 2: Transformations Chapter 2 Transformations Page 1 Unit 2: Vocabulary 1) transformation 2) pre-image 3) image 4) map(ping) 5) rigid motion (isometry) 6) orientation 7) line reflection 8) line
More 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 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 informationChapter 12 Transformations: Shapes in Motion
Name Geometry Honors Date Per. Teacher Chapter 12 Transformations: Shapes in Motion 1 Table of Contents Reflections Day 1.... Page 3 Translations Day 2....... Page 10 Rotations/Dilations Day 3.... Page
More 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 informationLearning Task: Exploring Reflections and Rotations
Learning Task: Exploring Reflections and Rotations Name Date Mathematical Goals Develop and demonstrate an understanding of reflections and rotations of figures in general and on a coordinate plane. Essential
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 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 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 informationChapter 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
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 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.
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 informationLearning Task: Exploring Reflections and Rotations
Learning Task: Exploring Reflections and Rotations Name Date Mathematical Goals Develop and demonstrate an understanding of reflections and rotations of figures in general and on a coordinate plane. Essential
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 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 informationSimilarity 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
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 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 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 informationGeometric Transformations: Translation:
Geometric Transformations: Translation: slide Reflection: Rotation: Dialation: mirror turn enlarge or reduce Notation: Pre-Image: original figure Image: after transformation. Use prime notation C A B C
More informationTransformations. 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 informationReflections and Translations
Name: ate: 1. Parallelogram ABC was translated to parallelogram A B C. 2. Alyssa made the design shown below. How many units and in which direction were the x-coordinates of parallelogram ABC moved? A.
More informationGRADE 8 ADAPTED NJDOE ASSESSMENT. Assessed Standards: 8.G.1 8.G.2 8.G.3 8.G.4 8.G.5. (To be administered after NPS Grade 8 Scope and Sequence Unit 2)
ADAPTED NJDOE ASSESSMENT GRADE 8 (To be administered after NPS Grade 8 Scope and Sequence Unit 2) Assessed Standards: 8.G.1 8.G.2 8.G.3 8.G.4 8.G.5 The Newark Public Schools - Office of Mathematics 2013
More 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 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 informationLesson 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
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 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 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 informationMath 9: Chapter Review Assignment
Class: Date: Math 9: Chapter 7.5-7.7 Review Assignment Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Which shapes have at least 2 lines of symmetry?
More 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 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 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 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 informationName Date Class. component form.,
2-1 Translations Use the figure below to answer Problems 1 5. 1. Triangle RST is translated along vector ν to create the image R'S'T'. What are the coordinates of the vertices of the image? R' S' T' 2.
More informationGiven ABC with A(-1, 1), B(2, 4), and C(4, 1). Translate ABC left 4 units and up 1 unit. a) Vertex matrix: b) Algebraic (arrow) rule:
Unit 7 Transformations 7 Rigid Motion in a Plane Transformation: The operation that maps, or moves, a preimage onto an image. Three basic transformations are reflection, rotation, and translation. Translation
More informationFor full credit, show all work. Study all geometry vocabulary words from your chapter packet.
Accelerated Review 9: Geometric Relationships Name: For full credit, show all work. Study all geometry vocabulary words from your chapter packet. Caleb drew a quadrilateral on his paper. Which of the following
More informationL2 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
More informationGeometry-CCSSM Module A2 The Coordinate Plane Summary 1
1 Module Overview In this inquiry module, students apply the Pythagorean Theorem to solve problems and justify solutions and solution paths for finding side lengths in right triangles. Building on their
More informationProtractor 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
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 informationSection Quiz Lessons 12-1 Through 12-4
Section Quiz Lessons - Through - hoose the best answer.. What is the image of (, ) when it is reflected across the line y x? (, ) (, ),, Use the figure for Exercises 7. The coordinates of the vertices
More informationDid 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,
More informationA transformation is a function, or mapping, that results in a change in the position, shape, or size of the figure.
Translations Geometry Unit 9: Lesson 1 Name A transformation is a function, or mapping, that results in a change in the position, shape, or size of the figure. Some basic transformations include translations,
More informationLesson 9 Reflections Learning Targets :
Reflections Learning Targets : I can construct the line of reflection using the compass and a straightedge I can draw the reflected figure using a compass and a straightedge and on coordinate grid Opening
More informationUnit 3SimilarFigures and Dilations
Unit 3 Similar Figures and Dilations Unit 3SimilarFigures and Dilations Target 1 Use proportions to identify lengths of corresponding parts in similar figures Target 2 Perform and identify dilations Target
More informationName: Geometry Practice Test Unit 2 Transformations in the Plane. Date: Pd:
Geometry Practice Test Unit 2 Transformations in the Plane (G.CO.A.2 - G.CO.A.5) Name: Date: Pd: 1) What type of symmetry is shown in this picture? (multiple choices-select all that apply) A) Point symmetry
More 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 informationGeometry: , 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
More informationStudents are not expected to work formally with properties of dilations until high school.
Domain: Geometry (G) Cluster: Understand congruence and similarity using physical models, transparencies, or geometry software. Standard: 8.G.1. Verify experimentally the properties of rotations, reflections,
More informationGeometry A Syllabus. Course Learning Goals (including WA State Standards, Common Core Standards, National Standards):
Geometry A Syllabus Credit: one semester (.5) Prerequisites and/or recommended preparation: Completion of Algebra 1 Estimate of hours per week engaged in learning activities: 5 hours of class work per
More informationA Correlation of. To the. New York State Next Generation Mathematics Learning Standards Geometry
A Correlation of 2018 To the New York State Next Generation Mathematics Learning Standards Table of Contents Standards for Mathematical Practice... 1... 2 Copyright 2018 Pearson Education, Inc. or its
More informationName: 1) Which of the following properties of an object are not preserved under a rotation? A) orientation B) none of these C) shape D) size
Name: 1) Which of the following properties of an object are not preserved under a rotation? A) orientation B) none of these C) shape D) size 2) Under a certain transformation, A B C is the image of ABC.
More 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: Unit 7 Beaumont Middle School 8th Grade, Introduction to Algebra
Unit 7 Beaumont Middle School 8th Grade, 2015-2016 Introduction to Algebra Name: I can recognize and create reflections on a coordinate grid. I can recognize and create translations on a coordinate grid.
More informationSection 5: Introduction to Polygons Part 2
Section 5: Introduction to Polygons Part 2 Topic 1: Compositions of Transformations of Polygons Part 1... 109 Topic 2: Compositions of Transformations of Polygons Part 2... 111 Topic 3: Symmetries of Regular
More informationGEOMETRY CURRICULUM MAP
2017-2018 MATHEMATICS GEOMETRY CURRICULUM MAP Department of Curriculum and Instruction RCCSD Congruence Understand congruence in terms of rigid motions Prove geometric theorems Common Core Major Emphasis
More informationMATHEMATICS CARNIVAL: A VEHICLE FOR ALL TO LEARN CCSSM- GEOMETRIC CONCEPTS!*
MATHEMATICS CARNIVAL: A VEHICLE FOR ALL TO LEARN CCSSM- GEOMETRIC CONCEPTS!* Prof. Vivian La Ferla, ED.D Professor of Mathematics and Computer Science and Educational Studies Rhode Island College Providence,
More 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 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 informationUnit 4 Guided Notes Part 2 Geometry
Unit 4 Guided Notes Part 2 Geometry Name: Important Vocabulary: Transformation: A change in,, or of a geometric figure. Rigid transformation: A transformation that preserves measures and of segments. Transformation
More informationDilations. 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
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 informationUNIT 1 GEOMETRY TEMPLATE CREATED BY REGION 1 ESA UNIT 1
UNIT 1 GEOMETRY TEMPLATE CREATED BY REGION 1 ESA UNIT 1 Traditional Pathway: Geometry The fundamental purpose of the course in Geometry is to formalize and extend students geometric experiences from the
More informationChapter 5. Transforming Shapes
Chapter 5 Transforming Shapes It is difficult to walk through daily life without being able to see geometric transformations in your surroundings. Notice how the leaves of plants, for example, are almost
More 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 informationUnit 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.
More informationMathematics Standards for High School Geometry
Mathematics Standards for High School Geometry Geometry is a course required for graduation and course is aligned with the College and Career Ready Standards for Mathematics in High School. Throughout
More informationShape & Space Part C: Transformations
Name: Homeroom: Shape & Space Part C: Transformations Student Learning Expectations Outcomes: I can describe and analyze position and motion of objects and shapes by Checking for Understanding identifying
More 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 informationName: Date: Period: Score: Linear Algebra Chapters 7, 8, & 9 Study Guide
1. Triangle ABC is shown on the coordinate grid. 3. Use the parallelogram shown in the coordinate plane to answer each question. Translate 3 units horizontally. Label the image. How are the values in the
More informationIntroduction : Applying Lines of Symmetry
Introduction A line of symmetry,, is a line separating a figure into two halves that are mirror images. Line symmetry exists for a figure if for every point P on one side of the line, there is a corresponding
More informationUCS Geometry SEMESTER 1 REVIEW GUIDE #2 STU COPY. 1. Translate the preimage A ( 2, 1) left 4 units and down 7 units.
2015-2016 UCS Geometry SEMESTER 1 REVIEW GUIDE #2 STU COPY 1. Translate the preimage A ( 2, 1) left 4 units and down 7 units. 2. Use the rule (x, y) (x 5, y + 8) to describe in words how the translation
More informationGEOMETRY Curriculum Overview
GEOMETRY Curriculum Overview Semester 1 Semester 2 Unit 1 ( 5 1/2 Weeks) Unit 2 Unit 3 (2 Weeks) Unit 4 (1 1/2 Weeks) Unit 5 (Semester Break Divides Unit) Unit 6 ( 2 Weeks) Unit 7 (7 Weeks) Lines and Angles,
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 informationGEOMETRY Graded Course of Study
GEOMETRY Graded Course of Study Conceptual Category: Domain: Congruence Experiment with transformations in the plane. Understand congruence in terms of rigid motions. Prove geometric theorems both formally
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 informationGrade 10 Unit # 3 Pacing 6-8 weeks (MP 3)
Montclair Public Schools CCSS Geometry Honors Unit: Marshall A.b.G Subject Geometry Honors Grade 10 Unit # 3 Pacing 6-8 weeks (MP 3) Unit Name Similarity, Trigonometry, and Transformations Overview Unit
More informationchapter 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
More informationMathematics. Accelerated GSE Algebra I/Geometry A Unit 7: Transformations in the Coordinate Plane
Georgia Standards of Excellence Frameworks Mathematics Accelerated GSE Algebra I/Geometry A Unit 7: Transformations in the Coordinate Plane These materials are for nonprofit educational purposes only.
More informationNAEP Released Items Aligned to the Iowa Core: Geometry
NAEP Released Items Aligned to the Iowa Core: Geometry Congruence G-CO Experiment with transformations in the plane 1. Know precise definitions of angle, circle, perpendicular line, parallel line, and
More information9 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
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 informationDrawing 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
More informationGeometry Unit 3 Similar Figures and Dilations Name Unit 3 Similar Figures and Dilations
Name Target 1 Use proportions to identify lengths of corresponding parts in similar figures Target 2 Perform and identify dilations Target 3 Use ratios of lengths, perimeter, & area to determine unknown
More informationGeometry Syllabus Holt McDougal Geometry (Aligned with SCCCR Standards) Ridgeland Hardeeville High School
Geometry Syllabus 2016-2017 Holt McDougal Geometry (Aligned with SCCCR Standards) Ridgeland Hardeeville High School TOPIC SCCCR STANDARD DAYS REQUIRED BASICS OF GEOMETRY: About points, lines, planes angles
More informationGeorgia Standards of Excellence Curriculum Frameworks. Mathematics. GSE Geometry. Unit 1: Transformations in the Coordinate Plane
Georgia Standards of Excellence Curriculum Frameworks GSE Geometry Mathematics Unit 1: Transformations in the Coordinate Plane Unit 1 Transformations in the Coordinate Plane Table of Contents OVERVIEW...
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 2 Final Review
Name: Period: Date: Geometry 2 Final Review 1 Find x in ABC. 5 Find x in ABC. 2 Find x in STU. 6 Find cos A in ABC. 3 Find y in XYZ. 7 Find x to the nearest tenth. 4 Find x in HJK. 8 Find the angle of
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 informationFocus of this Unit: Connections to Subsequent Learning: Approximate Time Frame: 4-6 weeks Connections to Previous Learning:
Approximate Time Frame: 4-6 weeks Connections to Previous Learning: In Grade 8, students are introduced to the concepts of congruence and similarity through the use of physical models and dynamic geometry
More informationTransformation. Translation To vertically and/or horizontally a figure. Each point. Reflection. Rotation. Geometry Unit 2: Transformations
Name: Period: Geometry Unit 2: Transformations Mrs. Fahey Main Idea Notes An operation that maps an original figure, called the onto a new figure called the. v Starting point: Transformation v 1 st change:
More informationR(-14, 4) R'(-10, -2) S(-10, 7) S'(-6, 1) T(-5, 4) T'(-1, -2)
1 Transformations Formative Assessment #1 - Translation Assessment Cluster & Content Standards What content standards can be addressed by this formative assessment? 8.G.3 Describe the effect of dilations
More informationChapter 9 - Transformations. Transformation: operation that maps (or moves) a preimage onto an image.
Chapter 9 - Transformations Transformation: operation that maps (or moves) a preimage onto an image. 4 Types of transformations: I. Reflections II. Translations III. Rotations IV. Dilations 3 Parts of
More informationProperties of Rotations
Properties of Rotations Student Probe Find the image of a 50 counterclockwise rotation about point P. Lesson Description The lesson examines rotations as the transformation obtained by reflecting an object
More information