Name: Date: Period: Score: Linear Algebra Chapters 7, 8, & 9 Study Guide
|
|
- Bruce Merritt
- 5 years ago
- Views:
Transcription
1 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 ordered pairs affected by the translation? Reflect parallelogram GHIJ over the y-axis. What do you notice about the ordered pairs of the original figure and the ordered pairs of its reflection over the y-axis? Translate -5 units vertically. Label the image. How are the values in the ordered pairs affected by the translation? 4. Each equation shown is a result of a translation performed on the equation y = x. Describe the translation. 2. Rotate rectangle PQRS 90 degrees clockwise around the origin. Label the rotation. 5. Each equation shown is a result of a translation performed on the equation. Describe the translation.
2 6. Regina drew a triangle with vertices at (1, 2), (3, 3), and (4, 1). She slides the triangle 2 units down to create an image. What are the vertices of the image? 10. The graph shown is the result of which translation on the equation y = x? (1, 0), (3, 1), and (4, -1) (1, 4), (3, 5), and (4, 3) c. (-1, 2), (1, 3), and (2, 1) d. (3,2), (5,3), and (6,1) 7. Blake drew square ABCD. Then, he drew the image of it, square, 2 centimeters to the right of the original figure. Line segment BC is 3 centimeters. How long is? 1 cm 3 cm c. 5 cm d. 6 cm 8. Bertha drew with the coordinates (4, 2), (5, 3), and (6, 2). Then, she drew an image of this triangle with coordinates (4, -2), (5, -3), and (6, -2). What is the line of reflection for this image? the y-axis the line y = 1 c. the x-axis d. the line x = 1 9. What is the point of rotation? Either a slide to the right 2 units or a slide down 2 units. Either a slide to the left 2 units or a slide down 2 units. c. Either a slide to the right 2 units or a slide up 2 units. d. Either a slide to the left 2 units or a slide up 2 units. 11. Dianne drew a triangle with coordinates (1, 3), (3, 2), and (4, 2). She drew an image of the triangle with coordinates (-1, 3), (-3, 2), and (-4, 2). How did she make the image? She translated the original figure 2 units down. She translated the original figure 6 units down. c. She reflected the original figure over the x- axis. d. She reflected the original figure over the y- axis. Point O Point P c. Point F d. Point E 12. Tasha traces her protractor on a piece of graph paper. Then, she holds one corner of the protractor still while she turns the rest of the protractor 30 degree clockwise. Finally, she traces the protractor again. What type of transformation did Tasha perform? duplication translation c. reflection d. rotation
3 13. Consider the congruence statement. 17. statement might not be true? Identify the congruent sides. Identify the congruent angles. c. The length of is equal to the length of. d. The distance between points R and T is equal to the distance between points U and W 14. For the figure shown, which is a correct congruence statement? 18. Which transformation was used to create from? ABC BCD ACB BDC c. ABC DCB d. CAB CBD 15. If, which congruence statement must be true? c. d. was reflected over the y-axis was translated to the right 3 units and down 1 unit c. was rotated 90 degrees clockwise about the origin d. was translated to the right 1 unit and down 3 units. 16. If the point (-5, 8) is rotated 90 degrees counterclockwise about the origin, what will be the coordinates of the rotated point? (5, -8) (-8, 5) c. (5, 8) d. (-8, -5)
4 19. Suppose that. Identify the corresponding angles. 21. Triangle FUN has vertices with coordinates F(-2, 4), U(-6, -4), and N(6, 0). Dilate using the origin as the center of dilation and a scale factor of 0.5 to form. State the relationships between the corresponding angles. c. Identify the corresponding sides. What are the coordinates of the image? d. State the relationship between lengths of the corresponding sides. c. How did you determine the coordinates of the vertices of the dilated image? e. Determine the lengths of and if centimeters, centimeters, centimeters, and centimeters. d. Is the dilation an enlargement or a reduction? Explain your reasoning. e. What is the relationship between and? 20. A triangle has vertices at (1, 1), (1, 2), and (3, 2). It is dilated by a scale factor of 4 with the origin as the center of dilation to form a similar triangle. What are the coordinates of the vertices of the image? (4, 1), (4, 2), (6, 2) (1, 4), (1, 5), (3, 5) c. (4, 4), (4, 8), (12, 8) d. (3, 3), (3, 6), (9, 6) 22. Which must be true of a scale factor of a dilation if the image is larger than the original figure? The scale factor is positive. The scale factor is between -1 and 0. c. The scale factor is between 0 and 1. d. The scale factor is greater than 1.
5 23. Triangle A B C is the image that resulted from a dilation of triangle ABC. 25. Given APZ ~ DPE Which is the length of EP? Which point is the center of dilation? (0, 0) A c. C d. B 24. In the figure,. What is the length of? 15 cm 10 cm c. 13 cm d. 9 cm 26. A triangle is dilated with a center of dilation at the origin. Point P is on the figure and is the corresponding point on the image of the dilation. Point P is at (-2, 3) and is at (-8, 12). What is the scale factor? 2 4 c. 6 d Which is not a correct conclusion? 3.6 centimeters 9.6 centimeters c. 6 centimeters d. 7 centimeters c. d.
6
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.
More informationGuided Problem Solving
-1 Guided Problem Solving GPS Student Page 57, Exercises 1 1: Match each rule with the correct translation. A. (x, y) (x, y 1 ) I. P(, 1) P (3, ) B. (x, y) (x 1 3, y) II. Q(3, 0) Q (3, ) C. (x, y) (x 1,
More informationStudy 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
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 informationTransformations Worksheet. How many units and in which direction were the x-coordinates of parallelogram ABCD moved? C. D.
Name: Date: 1. Parallelogram ABCD was translated to parallelogram A B C D. 2. A shape is shown below. Which shows this shape transformed by a flip? A. B. How many units and in which direction were the
More 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 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 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 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
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 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 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 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 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 informationUnderstanding Rotations
Lesson 19 Understanding Rotations 8.G.1.a, 8.G.1.b, 8.G.1.c, 8.G., 8.G.3 1 Getting the idea A rotation is a tpe of transformation in which ou turn a figure about a fied point. The image formed b a rotation
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 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 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 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 informationADV Math 8 Unit 1 Study Guide Transformations, Congruence, & Similarity
Name Period ADV Math 8 Unit 1 Study Guide Transformations, Congruence, & Similarity MGSE8.G.1 Verify experimentally the properties of rotations, reflections, and translations: lines are taken to lines
More informationGeometry. Name. Use AngLegs to model each set of shapes. Complete each statement with the phrase "is" or "is not." Triangle 1 congruent to Triangle 2.
Lesson 1 Geometry Name Use AngLegs to model each set of shapes. Complete each statement with the phrase "is" or "is not." 1. 2. 1 2 1 2 3 4 3 4 Triangle 1 congruent to Triangle 2. Triangle 2 congruent
More informationBy: Caroline, Jenny, Jennifer, Jared, Kaleigh
By: Caroline, Jenny, Jennifer, Jared, Kaleigh 1) What are the coordinates of the image of (2, 5) after a counterclockwise rotation of 90º about the origin? 1) ( 2, 5) 2) (2, 5) 3) ( 5, 2) 4) (5, 2) A dilation
More 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 informationStudent Name: Teacher: Date: Miami-Dade County Public Schools. Test: 9_12 Mathematics Geometry Exam 2
Student Name: Teacher: Date: District: Miami-Dade County Public Schools Test: 9_12 Mathematics Geometry Exam 2 Description: GEO Topic 5: Quadrilaterals and Coordinate Geometry Form: 201 1. If the quadrilateral
More informationLesson 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.
More informationName: Geometry Practice Test Unit 2 Transformations in the Plane. Date: Pd:
Geometry Practice Test Unit 2 Transformations in the Plane (G.CO.A.2 - G.CO.A.5) Name: Date: Pd: 1) What type of symmetry is shown in this picture? (multiple choices-select all that apply) A) Point symmetry
More informationUnit 5: Butterflies, Pinwheels, & Wallpaper
Unit 5: Butterflies, Pinwheels, & Wallpaper Directions: Please complete the necessary problems to earn a maximum of 10 points according to the chart below. Show all of your work clearly and neatly for
More 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 informationSlide, Flip, Turn: The Latest Dance Craze?
Lesson.1 Assignment Name Date Slide, Flip, Turn: The Latest Dance Craze? Translating, Rotating, and Reflecting Geometric Figures 1. Transform rectangle JKLM so it sits in the shaded rectangle in Quadrant
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 informationReflections, Translations, and Dilations
Reflections, Translations, and Dilations Step 1: Graph and label the following points on your coordinate plane. A (2,2) B (2,8) C (8,8) D (8,2) Step 2: Step 3: Connect the dots in alphabetical order to
More informationWarm-up. Translations Using arrow notation to write a rule. Example: 1) Write a rule that would move a point 3 units to the right and 5 units down.
Translations Using arrow notation to write a rule. Example: 1) Write a rule that would move a point 3 units to the right and 5 units down. (x, y) 2) Write a rule that would move a point 6 units down. (x,
More 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 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 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 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 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 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 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 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 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 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 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 information0815geo. Geometry CCSS Regents Exam In the diagram below, a square is graphed in the coordinate plane.
0815geo 1 A parallelogram must be a rectangle when its 1) diagonals are perpendicular 2) diagonals are congruent ) opposite sides are parallel 4) opposite sides are congruent 5 In the diagram below, a
More informationLesson 1. Rigid Transformations and Congruence. Problem 1. Problem 2. Problem 3. Solution. Solution
Rigid Transformations and Congruence Lesson 1 The six frames show a shape's di erent positions. Describe how the shape moves to get from its position in each frame to the next. To get from Position 1 to
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 informationUnit One Test (Transparallellines) B. The reflection of line 1 over the x -axis and the translation of line 2 four units to the left.
Name: Date: 1. The coordinate grid shows the intersection of line 1 and line 2. Which transformations on lines 1 and 2 will result in a pair of lines intersecting at the same angle measurements as those
More informationWorksheet on Line Symmetry & Rotational Symmetry
Gr. 9 Math 8. - 8.7 Worksheet on Line Smmetr & Rotational Smmetr Multiple Choice Identif the choice that best completes the statement or answers the question.. Which shapes have at least lines of smmetr?
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 informationIntegrated Algebra A Packet 1
Name Date Integrated Algebra A Packet 1 Lesson/Notes Homework Coordinate Plane HW #1 Connecting Points To Make Figures HW #2 Intro to Transformations/Translations HW #3 Reflections HW #4 Symmetry HW #5
More 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 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 informationUnit 5 Answers. Exercise 5.1. KS3 Maths Progress Delta 2. 2 a 1 left, 2 down b 6 right, 1 up c 7 right, 7 down d 6 left e 9 left, 3 up 3
Unit 5 Answers Exercise 5.1 1 2 a 1 left, 2 down b 6 right, 1 up c 7 right, 7 down d 6 left e 9 left, 3 up 3 4 5 a x = 0 b B is a reflection of T in the line x = 2 C is a reflection of T in the line y
More informationG.CO.A.2: Identifying Transformations 2
G.CO.A.2: Identifying Transformations 2 1 In the accompanying diagram, ABC is similar to but not congruent to A B C. 3 In the diagram below, A' B' is the image of AB under which single transformation?
More informationTransformations and Congruence
Name Date Class UNIT 1 Transformations and Congruence Unit Test: C 1. Draw ST. Construct a segment bisector and label the intersection of segments Y. If SY = a + b, what is ST? Explain your reasoning.
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 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 informationCTB/McGraw-Hill. Math Grade 8 Fall Benchmark Assessment Test ID: 87738
Page 1 of 39 Developed and published by CTB/McGraw-Hill LLC, a subsidiary of The McGraw-Hill Companies, Inc., 20 Ryan Ranch Road, Monterey, California 93940-5703. All rights reserved. Only authorized customers
More informationUnit 5: Motion Geometry
Rotations Unit 5: Translations Motion Geometry Reflections 1 Translations translation is also called a "slide." When you slide a shape it keeps its original orientation. It does not turn (rotate) or flip.
More informationCourse Guide (/8/teachers/teacher_course_guide.html) Print (/8/teachers/print_materials.html) LMS (/8
(http://openupresources.org)menu Close OUR Curriculum (http://openupresources.org) Professional Development (http://openupresources.org/illustrative-mathematics-professional-development) Implementation
More informationAdditional Practice. Name Date Class. 1. Which of these angles are acute, which are obtuse, and which are right? a. b. c. d. e. f. Shapes and Designs
Additional Practice Investigation 1 1. Which of these angles are acute, which are obtuse, and which are right? a. b. c. d. e. f. 1 Additional Practice (continued) Investigation 1 2. Use the diagram of
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 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 informationCongruence. CK-12 Kaitlyn Spong. Say Thanks to the Authors Click (No sign in required)
Congruence CK-12 Kaitlyn Spong Say Thanks to the Authors Click http://www.ck12.org/saythanks (No sign in required) To access a customizable version of this book, as well as other interactive content, visit
More information1ACE Exercise 17. Name Date Class. 17. Which figure does NOT have rotation symmetry?
1ACE Exercise 17 Investigation 1 17. Which figure does NOT have rotation symmetry? HINT Rotation symmetry means you can turn the object around its center to a position in which it looks the same as the
More informationb 1. If he flips the b over to the left, what new letter is formed? Draw a picture to the right.
Name: Date: Student Exploration: Rotations, Reflections, and Translations Vocabulary: image, preimage, reflection, rotation, transformation, translation Prior Knowledge Questions (Do these BEFORE using
More informationTranslations, Reflections, and Rotations
Translations, Reflections, and Rotations This photo shows a classic optical illusion called the Necker Cube. It's an example of an impossible object. Optical illusions are often helpful to scientists who
More informationChoose a circle to show how much each sentence is like you. Very Unlike Me. Unlike Me. Like Me. 01. I think maths is exciting and interesting.
Choose a circle to show how much each sentence is like you Very Unlike Me Unlike Me Like Me Very Like Me 1 2 3 4 01. I think maths is exciting and interesting. 02. I never get tired of doing maths. 03.
More informationUnit 1 Packet Honors Common Core Math 2 22
Unit 1 Packet Honors Common Core Math 2 22 Day 8 Homework Part 1 HW Directions: The following problems deal with congruency and rigid motion. The term rigid motion is also known as isometry or congruence
More informationCountdown to your final Maths exam Part 13 (2018)
Countdown to your final Maths exam Part 13 (2018) Marks Actual Q1. Translations (Clip 67) 2 Q2. Reflections & enlargements (Clips 64 & 63) 5 Q3. Rotations (Clip 65) 3 Q4. Rotations (Clip 65) 2 Q5. Rotations
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 informationChapter 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
More informationTRANSFORMATIONS AND CONGRUENCE
21 TRANSFORMATIONS AND CONGRUENCE INSTRUCTIONAL ACTIVITY Lesson 3 LEARNING GOAL Students will discover the impact of translations and reflections on the coordinates of a figure, then generalize the rule
More informationButterflies, Pinwheels, and Wallpaper
Butterflies, Pinwheels, and Wallpaper Day Topic Homework Grade 1 Intro Day start work on notes, vocab, and ACE questions 2 Inv 1/ACE # 1-6, 8-12, 14-17, 19-20, 30-34, 36a, 37a due by Friday 1/9 at 3:15
More informationChapter 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
More informationGeometry Summative Review 2008
Geometry Summative Review 2008 Page 1 Name: ID: Class: Teacher: Date: Period: This printed test is for review purposes only. 1. ( 1.67% ) Which equation describes a circle centered at (-2,3) and with radius
More informationReview of 7 th Grade Geometry
Review of 7 th Grade Geometry In the 7 th Grade Geometry we have covered: 1. Definition of geometry. Definition of a polygon. Definition of a regular polygon. Definition of a quadrilateral. Types of quadrilaterals
More informationName Period Date GRADE 7: MATHEMATICS COMMON CORE SUPPLEMENT ANGLES, DRAWINGS, AND ALGEBRAIC CONNECTIONS
Name Period Date 7-CORE3.1 Geometric Figures Measure and draw angles using a protractor. Review facts about interior angles of triangles and quadrilaterals. Find missing angle measures in geometric diagrams.
More informationm 6 + m 3 = 180⁰ m 1 m 4 m 2 m 5 = 180⁰ m 6 m 2 1. In the figure below, p q. Which of the statements is NOT true?
1. In the figure below, p q. Which of the statements is NOT true? m 1 m 4 m 6 m 2 m 6 + m 3 = 180⁰ m 2 m 5 = 180⁰ 2. Look at parallelogram ABCD below. How could you prove that ABCD is a rhombus? Show that
More information3 John likes to experiment with geometric. 4 Which of the following conjectures is true for
1 Rectangle ABCD is drawn on a coordinate plane. Each angle measures 90. The rectangle is reflected across the y axis, translated 9 units down, and then rotated 180 clockwise about the origin. What would
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 informationPROVE THEOREMS INVOLVING SIMILARITY
PROVE THEOREMS INVOLVING SIMILARITY KEY IDEAS 1. When proving that two triangles are similar, it is sufficient to show that two pairs of corresponding angles of the triangles are congruent. This is called
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 informationG.CO.B.6: Properties of Transformations 2
1 Which expression best describes the transformation shown in the diagram below? 2 As shown in the diagram below, when right triangle DAB is reflected over the x-axis, its image is triangle DCB. 1) same
More informationApplications. 44 Stretching and Shrinking
Applications 1. Look for rep-tile patterns in the designs below. For each design, tell whether the small quadrilaterals are similar to the large quadrilateral. Explain. If the quadrilaterals are similar,
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 information3. 4. fraction can not be the length of the third side?
Name: Teacher: Mrs. Ferry 1. 2 In the construction shown below, is drawn. 3. 4 If two sides of a triangle have lengths of and, which fraction can not be the length of the third side? 1. 2. 3. 4. In ABC,
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 informationUnit 2 Study Guide Topics: Transformations (Activity 9) o Translations o Rotations o Reflections. o Combinations of Transformations
Geometry Name Unit 2 Study Guide Topics: Transformations (Activity 9) o Translations o Rotations o Reflections You are allowed a 3 o Combinations of Transformations inch by 5 inch Congruent Polygons (Activities
More informationReady to Go On? Skills Intervention Building Blocks of Geometry
8-1 Ready to Go On? Skills Intervention Building Blocks of Geometry A point is an exact location. A line is a straight path that extends without end in opposite directions. A plane is a flat surface that
More information(3) Proportionality. The student applies mathematical process standards to use proportional relationships
Title: Dilation Investigation Subject: Coordinate Transformations in Geometry Objective: Given grid paper, a centimeter ruler, a protractor, and a sheet of patty paper the students will generate and apply
More informationDirections: This review consists of problems that could be on your midterm. Make sure you complete each problem and show your work.
Name: HOUR: Due Date: 2014 Geometry Midterm Review Directions: This review consists of problems that could be on your midterm. Make sure you complete each problem and show your work. 1. For equilateral
More informationUnit 1 NOTES Honors Math 2 1
Unit 1 NOTES Honors Math 2 1 Day 1: Introduction to Transformations and Translations Warm-Up: Prerequisite Skill: Graphing Lines Graph the following lines. 1) x = 2 2) y = 4 3) y = x (Hint: this is y =
More informationTransformations and Congruence Test 2 Review
Transformations and Congruence Test 2 Review 1.To understand the different transformations: Be able to define and understand transformations (rotation, reflection, dilation, translation, glide reflection,
More informationIs there a different way to get the same result? Did we give enough information? How can we describe the position? CPM Materials modified by Mr.
Common Core Standard: 8.G.3 Is there a different way to get the same result? Did we give enough information? How can we describe the position? CPM Materials modified by Mr. Deyo Title: IM8 Ch. 6.2.1 What
More informationSlide, Flip, Turn: The Latest Dance Craze?
Lesson.1 Assignment Name Date Slide, Flip, Turn: The Latest Dance Craze? Translating, Rotating, and Reflecting Geometric Figures 1. Transform rectangle JKLM so it sits in the shaded rectangle in Quadrant
More informationIn this translation, CDE is being translated to the right by the same length as segment AB. What do you think is true about CDE and C'D'E'?
A translation is nothing more than a geometric transformation that slides each point in a figure the same distance in the same direction In this translation, CDE is being translated to the right by the
More informationUNIT 1: TRANSFORMATIONS IN THE COORDINATE PLANE
UNIT 1: TRANSFORMATIONS IN THE COORDINATE PLANE Unit 1: Transformations in the Coordinate Plane In this unit, students review the definitions of three types of transformations that preserve distance and
More informationGeometry Christmas Break
Name: Date: Place all answers for Part. A on a Scantron. 1. In the diagram below, congruent figures 1, 2, and 3 are drawn. 3. Which figure can have the same cross section as a sphere? Which sequence of
More information