Introduction to Transformations. In Geometry
|
|
|
- Gabriel Dorsey
- 5 years ago
- Views:
Transcription
1 + Introduction to Transformations In Geometry
2 + What is a transformation? A transformation is a copy of a geometric figure, where the copy holds certain properties. Example: copy/paste a picture on your computer. The original figure is called the pre-image; the new (copied) picture is called the image of the transformation.
3 + Labeling Transformations When points are moved, the image is labeled with the same points as the pre-image with a prime attached. The change is called mapping. EX: Point A is mapped to point A.
4 + Translations There are 4 different types of transformations. The first type is called translations. We worked on graphing translations yesterday. How do translations transform graphs? Translations move graphs (or points) up, down, left, or right. Translations are also known as a slide because they can slide around a plane.
5 + Translation Examples Points A(1, 4), B(-2, 5), and C(0, -1) are moved two units down and three units to the right. Find the points of the image. Write an expression to represent the translation.
6 + Translation Examples Graph the translation (x, y) (x 3, y + 6) given the points D(-1, -4), E(3, -4), and F(3, 2). Find the points of the image. Write a description of the translation. Is the pre-image and the image the same size and shape? Will this be true for every translation?
7 + Reflections There are 4 different types of transformations. The first type was called translations. The second is called reflections. Reflections move graphs (or points) over a line of reflection. Reflections are also known as a flip because they flip points over a line of reflection on a plane.
8 Reflections How to draw a reflection 1. The image and the pre-image should be the same distance away from the line of reflection. 2. Lines of reflection can be drawn on an angle. 3. The image and the pre-image may exist on both sides of the line of reflection.
9 + Reflection Examples Points A(1, 4), B(-2, 5), and C(0, -1) are reflected over the x- axis. What is the equation of the line of reflection? Find the points of the image. Write an expression to represent the reflection.
10 + Reflection Examples Points A(2, -3), B(-1, 7), and C(0, 5) are reflected over the y-axis. What is the equation of the line of reflection? Find the points of the image. Write an expression to represent the reflection. Is the pre-image and the image the same size and shape? Will this always be true?
11 + Some Common Reflections
12 + Lines of Symmetry Some figures can be folded so that the two halves match exactly. The fold is a line of reflection called a line of symmetry. If there is a common point of reflection for all points on a figure, the point of reflection is called a point of symmetry. Examples:
13 + Rotations There are 4 different types of transformations. The first type was called translations. The second was called reflections. The third is called rotations. Rotations move graphs (or points) around a point. Rotations are also known as a turn because they turn points about a point (center of rotation) on a plane. Quick EXAMPLE:
14 + Rotations Example: The figure shown below is a rotation of 90 rotated around the center of rotation. Notice that all of the colored lines are the same distance from the center or rotation than than are from the point. Also all the colored lines form 90 angles. That's what makes the rotation a rotation of 90.
15 + Algebraic Descriptions Some geometry lessons will connect back to algebra by describing the formula causing the translation. 90 rotation (clockwise) Note: this is the same as a rotation counterclockwise. 180 rotation (x, y) (x, y) 270 rotation (clockwise) Note: this is the same as a rotation counterclockwise. (x, y)
16 + Two Reflections over intersecting lines creates a rotation If you reflect an object over the x-axis and then the y-axis, it creates a 180 o rotation. x-axis reflection (x, y) y-axis reflection (x, y) 180 o rotation (x, y)
17 + You Try:
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
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,
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
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?
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
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
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
Day 1 Translations, Reflections, and Rotations
Name Date Day 1 Translations, Reflections, and Rotations There are many different ways to move a figure on the coordinate plane. Some movements keep the figure the same size and some may make the figure
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.
Unit #3: Quadratic Functions Lesson #13: The Almighty Parabola. Day #1
Algebra I Unit #3: Quadratic Functions Lesson #13: The Almighty Parabola Name Period Date Day #1 There are some important features about the graphs of quadratic functions we are going to explore over the
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
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
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
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.
Quadrilaterals & Transformations Study Guide
s & Transformations Study Guide What do I need to know for the upcoming Summative Assessment? s Classifications and Properties of: o o Trapezoid o Kite o Parallelogram o Rhombus o Rectangle o Square The
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.
Answers to practice questions for Midterm 1
Answers to practice questions for Midterm Paul Hacking /5/9 (a The RREF (reduced row echelon form of the augmented matrix is So the system of linear equations has exactly one solution given by x =, y =,
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
Properties of Quadratic functions
Name Today s Learning Goals: #1 How do we determine the axis of symmetry and vertex of a quadratic function? Properties of Quadratic functions Date 5-1 Properties of a Quadratic Function A quadratic equation
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
b 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
Unit 3: Congruence & Similarity
Approximate Time Frame: 6 weeks Connections to Previous Learning: In previous grades, students made scale drawings of geometric figures and solved problems involving angle measure, surface area, and volume.
6th Grade Math Learning Targets. Grade 6 Algebra
6th Grade Math Learning Targets Grade 6 Algebra 6.A.1.1. Students are able to use order of operations, excluding nested parentheses and exponents, to simplify whole number expressions. Application I can
To graph the point (r, θ), simply go out r units along the initial ray, then rotate through the angle θ. The point (1, 5π 6
Polar Coordinates Any point in the plane can be described by the Cartesian coordinates (x, y), where x and y are measured along the corresponding axes. However, this is not the only way to represent points
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
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
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
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
Vocabulary for Student Discourse Pre-image Image Rotate Symmetry Transformation Rigid transformation Congruent Mapping Point of symmetry
Lesson 4 - page 1 Title: Rotations and Symmetry I. Before Engagement Duration: 2 days Knowledge & Skills Understand transformations as operations that map a figure onto an image Understand characteristics
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?
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
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
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
On a coordinate plane, such a change can be described by counting the number of spaces, vertically and horizontally, that the figure has moved.
Transformations We have studied four different kinds of transformations: translation, rotation, reflection, and dilation. Each one involves moving a figure to a new location on a plane. Translation Translation
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 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
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,
Transformations. Working backwards is performing the inverse operation. + - and x 3. Given coordinate rule
Transformations In geometry we use input/output process when we determine how shapes are altered or moved. Geometric objects can be moved in the coordinate plane using a coordinate rule. These rules can
Unit 1 Algebraic Functions and Graphs
Algebra 2 Unit 1 Algebraic Functions and Graphs Name: Unit 1 Day 1: Function Notation Today we are: Using Function Notation We are successful when: We can Use function notation to evaluate a function This
We can use square dot paper to draw each view (top, front, and sides) of the three dimensional objects:
Unit Eight Geometry Name: 8.1 Sketching Views of Objects When a photo of an object is not available, the object may be drawn on triangular dot paper. This is called isometric paper. Isometric means equal
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
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
Chapter 1. Linear Equations and Straight Lines. 2 of 71. Copyright 2014, 2010, 2007 Pearson Education, Inc.
Chapter 1 Linear Equations and Straight Lines 2 of 71 Outline 1.1 Coordinate Systems and Graphs 1.4 The Slope of a Straight Line 1.3 The Intersection Point of a Pair of Lines 1.2 Linear Inequalities 1.5
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,
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
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,
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
Students 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,
a ray that divides and angle into two congruent angles triangle a closed polygon with 3 angles whose sum is 180
Geometry/PP Geometry End of Semester Review 2011 Unit 1: Shapes and Patterns asic oncepts Good definitions Inductive reasoning Symbols and terms detailed and use precise words, such as supplementary or
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.
Unit 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
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,
Number and Operation Standard #1. Divide multi- digit numbers; solve real- world and mathematical problems using arithmetic.
Number and Operation Standard #1 MN Math Standards Vertical Alignment for Grade 5 Demonstrate mastery of multiplication and division basic facts; multiply multi- digit numbers; solve real- world and mathematical
Just change the sign of the -coordinate. Let s look at the triangle from our previous example and reflect
. onstructing Reflections Now we begin to look at transformations that yield congruent images. We ll begin with reflections and then move into a series of transformations. series of transformations applies
Junior Circle Meeting 9 Commutativity and Inverses. May 30, We are going to examine different ways to transform the square below:
Junior Circle Meeting 9 Commutativity and Inverses May 0, 2010 We are going to examine different ways to transform the square below: Just as with the triangle from last week, we are going to examine flips
9 3 Rotations 9 4 Symmetry
h 9: Transformations 9 1 Translations 9 Reflections 9 3 Rotations 9 Smmetr 9 1 Translations: Focused Learning Target: I will be able to Identif Isometries. Find translation images of figures. Vocabular:
Geometry. Topic 1 Transformations and Congruence
Geometry Topic 1 Transformations and Congruence MAFS.912.G-CO.1.2 Consider the point A at ( 3, 5). A. Find the coordinates of A, the image of A after the transformation: (, ) (, ). B. What type of transformation
Lesson 5: Definition of Rotation and Basic Properties
Student Outcomes Students know how to rotate a figure a given degree around a given center. Students know that rotations move lines to lines, rays to rays, segments to segments, and angles to angles. Students
Working with Transformations on the Coordinate Plane
Working with Transformations on the Coordinate Plane Movies create the illusion of movement by showing us 24 images per second. When the human eye processes 24 images per second it is interpreted in our
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,
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
You can demonstrate the congruence of two figures by using a rigid motion or a sequence of rigid motions to make the figures coincide.
18 LESSON roperties of Rotations, Reflections, and Translations UNERSTN rigid motion changes the position of a figure without changing its shape or size. sequence of rigid motions can transform a figure
Name: Unit 7 Beaumont Middle School 8th Grade, Introduction to Algebra
Unit 7 Beaumont Middle School 8th Grade, 2015-2016 Introduction to Algebra Name: I can recognize and create reflections on a coordinate grid. I can recognize and create translations on a coordinate grid.
COORDINATE ALGEBRA UNIT 5: TRANSFORMATIONS IN THE COORDINATE PLANE. 1. On this coordinate plane, UVW has been transformed to form its image U''V''W''.
1. On this coordinate plane, UVW has been transformed to form its image U''V''W''. 3.Graph the figure and its image under the given translation: EFG with vertices E (-2, -3), F (-3, -2), G (-1, -1) under
Please pick up a new book on the back table.
Please pick up a new book on the back table. Use the graphing side of your whiteboard or get graph paper from the counter in the black trays plot the following points: 1. ( 3, 5) 2. (4, 0) 3. ( 5, 2) 4.
9 Transformations CHAPTER. Chapter Outline.
Chapter 9 www.ck12.org CHAPTER 9 Transformations Chapter Outline 9.1 EXPLORING SYMMETRY 9.2 TRANSLATIONS AND VECTORS 9.3 REFLECTIONS 9.4 ROTATIONS 9.5 COMPOSITION OF TRANSFORMATIONS 9.6 DILATIONS 9.7 TESSELLATIONS
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.
Wednesday, November 7, 2018
Wednesday, November 7, 2018 Warm-up Use the grid from yesterday s warm-up space to plot the pre-image ABCD and the points that are transformed by the rule (x, y) (2x, 2y) 5 2 2 5 2 4 0 0 Talk about quiz
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
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
Lesson 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
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.
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.
In 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
Translations, 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
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
3-3. When Kenji spun the flag shown at right very quickly about its pole, he noticed that a threedimensional
Sec 3.1.1 Reflections & 3.1.2 Rotations and Translations Visualizing, the act of picturing something in your mind, is also helpful when working with shapes. In order to investigate and describe a geometric
Unit 5: Quadratic Functions
Unit 5: Quadratic Functions LESSON #5: THE PARABOLA GEOMETRIC DEFINITION DIRECTRIX FOCUS LATUS RECTUM Geometric Definition of a Parabola Quadratic Functions Geometrically, a parabola is the set of all
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
NCTM Strands. NCTM Strands. NCTM Strands. Geometry. Number and Operations Algebra Geometry Measurement Data Analysis & Probability
NCTM Strands NCTM Strands Number and Operations Algebra Measurement Data Analysis & Probability NCTM Strands Number and Operations Algebra Measurement Data Analysis & Probability Strand 3 and properties
Rational Numbers on the Coordinate Plane. 6.NS.C.6c
Rational Numbers on the Coordinate Plane 6.NS.C.6c Copy all slides into your composition notebook. Lesson 14 Ordered Pairs Objective: I can use ordered pairs to locate points on the coordinate plane. Guiding
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.
Study Guide - Geometry
Study Guide - Geometry (NOTE: This does not include every topic on the outline. Take other steps to review those.) Page 1: Rigid Motions Page 3: Constructions Page 12: Angle relationships Page 14: Angle
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
Unit 1, Lesson 1: Moving in the Plane
Unit 1, Lesson 1: Moving in the Plane Let s describe ways figures can move in the plane. 1.1: Which One Doesn t Belong: Diagrams Which one doesn t belong? 1.2: Triangle Square Dance m.openup.org/1/8-1-1-2
DIOCESE OF HARRISBURG MATHEMATICS CURRICULUM GRADE 8
MATHEMATICS CURRICULUM GRADE 8 8A Numbers and Operations 1. Demonstrate an numbers, ways of representing numbers, relationships among numbers and number systems. 2. Compute accurately and fluently. a.
Unit 5: Transformations in the Coordinate Plane
Unit 5: Transformations in the Coordinate Plane In this unit, students review the definitions of three types of transformations that preserve distance and angle: rotations, reflections, and translations.
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
Prime Time (Factors and Multiples)
CONFIDENCE LEVEL: Prime Time Knowledge Map for 6 th Grade Math Prime Time (Factors and Multiples). A factor is a whole numbers that is multiplied by another whole number to get a product. (Ex: x 5 = ;
Transformations. SOL 8.8 Students will be using the 8.8 Transformation Chart for Notes
Transformations SOL 8.8 Students will be using the 8.8 Transformation Chart for Notes Vocabulary Horizontal Axis: x-axis Vertical Axis: y-axis Origin: intersection of the y-axis and the x- axis; point
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
Name Date Class Practice A. 7. How many degrees do you have to rotate any figure to get it back to its original position?
Practice A Transformations Tell whether each is a translation, rotation, or reflection. 1. 2. _ 3. 4. Circle the correct answer 5. Which is the best description of the transformation shown below? _ 6.
Key Ideas/ Vocabulary
Name: Date: Unit 1 oordinates and Design 1.1 The artesian Plane Key Ideas/ Vocabulary P. 9 5 11, 13-15, 18 1.2 reate Designs P. 15 3 6, 9-12 Math 7 hapter 1 1 P a g e 1.3 Transformations P. 24 3-21, 24
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:
An angle that has a measure less than a right angle.
Unit 1 Study Strategies: Two-Dimensional Figures Lesson Vocab Word Definition Example Formed by two rays or line segments that have the same 1 Angle endpoint. The shared endpoint is called the vertex.
Functions and Isometries OBJECTIVE #: G.CO.2
OBJECTIVE #: G.CO.2 OBJECTIVE Represent transformations in the plane using, e.g., transparencies and geometry software; describe transformations as functions that take points in the plane as inputs and
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
Points, Lines, Planes, and Angles pp
LESSON 5-1 Points, Lines, Planes, and Angles pp. 222 224 Vocabulary point (p. 222) line (p. 222) plane (p. 222) segment (p. 222) ray (p. 222) angle (p. 222) right angle (p. 223) acute angle (p. 223) obtuse
Problem 2. Problem 3. Perform, if possible, each matrix-vector multiplication. Answer. 3. Not defined. Solve this matrix equation.
Problem 2 Perform, if possible, each matrix-vector multiplication. 1. 2. 3. 1. 2. 3. Not defined. Problem 3 Solve this matrix equation. Matrix-vector multiplication gives rise to a linear system. Gaussian
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