CH. 9 – PROPERTIES OF TRANSLATIONS ESSENTIAL QUESTION: HOW DO YOU DESCRIBE THE PROPERTIES OF TRANSLATION AND THEIR EFFECT ON THE CONGRUENCE AND THE ORIENTATION.

Slides:

Advertisements

Similar presentations

Dilations: (Stretching/Shrinking)  Dilations use a scale factor to reduce or enlarge shapes.  Every dilation has a center and a scale factor. Most of.

Advertisements

Warm-Up Exercises 1. What is a translation? ANSWER a transformation that moves every point of a figure the same distance in the same direction ANSWER (7,

WARM UP ANNOUNCEMENTS -Pick up your assigned calculator -Take out your HW to stamp Use the triangles to the right to find the coordinates needed to solve.

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

In mathematics, a transformation

EXAMPLE 3 Identify vector components Name the vector and write its component form. SOLUTION The vector is BC. From initial point B to terminal point C,

Solutions to the Symmetry WS 1. a 2. b 3. a 4. c 5. a 6. c 7. b 8. a 9. c 10. a SIDE 1 1. yes No 6. 4 SIDE 2.

Algebraic Representations of Transformations Day 2

8-10 Translations, Reflections, and Rotations Course 2 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation.

Holt Geometry 1-7 Transformations in the Coordinate Plane Warm Up 1.Which describes a translation? a) Turnb) Flipc) Slide 2. Which describes a rotation?

TRANSLATIONS SWBAT: Identify Isometries To Find Translation Images of Figures.

Term Transformation Describe The change in the position of a geometric figure, the pre-image, that produces a new figure called the image Representation.

8-10 Translations, Reflections, and Rotations Course 2 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation.

1. Watch this video and fill in a definition for each of the terms (2-4) 1. ADmPQ 2. Translations 3. Reflection.

4-4 Geometric Transformations with Matrices Objectives: to represent translations and dilations w/ matrices : to represent reflections and rotations with.

Objective: Students will be able to represent translations, dilations, reflections and rotations with matrices.

Module 6 Mid-Chapter Test Review. Describe the Transformation from the Given Pre-Image to the Given Image 1. Pre-Image: Shape 1 Image: Shape 4 1. Answer:

9-2 Reflections Objective: To find reflection images of figures.

Warm Up (4, –6) (12, 27) (–6, 2) 1. Subtract 3 from the x-coordinate and 2 from the y-coordinate in (7, –4). 2. Multiply each coordinate by 3 in (4, 9).

9.2 Properties of Reflections

Perform Congruence Transformations. Transformations: when you move or change a geometric figure in some way to produce a new figure. Image is what the.

Translations Unit 2 Section 1. What is a translation? Moving a shape, without rotating or flipping it. "Sliding". The shape still looks exactly the same,

Translations Chapter 3 Section 6. Transformations Transformation- is a change in a figures position, shape or size.

8-7 Transformation Objective: Students recognize, describe, and show transformation.

Chapter Transformations Part 1. Objective: Use a translation, a reflection, and a rotation Describe the image resulting from a transformation.

TRANSFORMATIONS. DEFINITION  A TRANSFORMATION is a change in a figure’s position or size.  An Image is the resulting figure of a translation, rotation,

Translations, Reflections, and Rotations. Vocabulary Transformation- changes the position or orientation of a figure. Image- the resulting figure after.

Introduction to Transformations / Translations. By the end of this lesson, you will know… Transformations in general: A transformation is a change in.

9.1 Translate Figure and Use Vectors Translations anslation.swf&w=894&h=762&col=%23FFFFFF&title=Geometry+Tr.

Translations Advanced Geometry Rigid Transformations Lesson 1.

ROTATIONS LESSON 30.

Algebra 4-2 Transformations on the Coordinate Plane

Algebra 4-2 Transformations on the Coordinate Plane

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

The original figure is called the preimage.

Translate Figures and Use Vectors

Introduction to Transformations & Translations

Transformation in Geometry

Algebra 4-2 Transformations on the Coordinate Plane

3B Reflections 9-2 in textbook

Objectives Identify reflections, rotations, and translations.

Preview Warm Up California Standards Lesson Presentation.

9-1 Translations.

Properties of Translations

Dilations: (Stretching/Shrinking)

Dilations: (Stretching/Shrinking)

Transformations Learning Target: I will be able to translate, reflect, rotate, and dilate figures.

WARM UP: Draw pentagon PENTA on three different graphs on your worksheet. Label the vertices and write each vertex as an ordered pair. On the first graph,

Dilations: (Stretching/Shrinking)

and 2 units to the left of point B. Count down 5 units from point B

4-4 Geometric Transformations with Matrices

Chapter 9: Transformation and Congruency

4.1: Congruence and Transformation

Transformation in Geometry

Chapter 9.1 Notes: Translate Figures and Use Vectors

Families of Functions Lesson 2-6 Part 1

EXAMPLE 1 Translate a figure in the coordinate plane

Motion in the Coordinate Plane

Unit 4 Transformations.

Reflections in Coordinate Plane

Algebra 4-2 Transformations on the Coordinate Plane

Algebra 4-2 Transformations on the Coordinate Plane

1.7 Motion in the Coordinate Plane

Congruence Transformations

Algebra 4-2 Transformations on the Coordinate Plane

8th grade math end of year review

When you are on an amusement park ride,

Chapter 2: Transformations

11.2 translations Essential Question: What does it mean to translate a shape?

Presentation transcript:

CH. 9 – PROPERTIES OF TRANSLATIONS ESSENTIAL QUESTION: HOW DO YOU DESCRIBE THE PROPERTIES OF TRANSLATION AND THEIR EFFECT ON THE CONGRUENCE AND THE ORIENTATION OF FIGURES?

PROPERTIES OF TRANSLATIONS Transformation – a function that describes a change in the ______________, size, or ____________ of a figure. Pre-image – The “_____________” image given. The input of a transformation. Image – The output of a transformation. The “________” image. Translation – Transformation that ____________ a figure along a straight line. The size or shape does NOT change. Congruency – When a shape, equation, or solution is ____________ position shape original new slides equal

RULES OF TRANSLATIONS Translations left and right – Changes the ___________ Left - ____________ units from the pre-image Right - ____________ units from the pre-image Translations up and down – Changes the ___________ Up- ____________ units from the pre-image Down- ____________ units from the pre-imagex-values y-values subtract add add subtract

TRANSLATE THE FIGURE 5 UNITS UP AND 6 UNITS RIGHT A (-5,0) (x+6, y+5) __________ B (-5,-4) (x+6, y+5) __________ C (-2,-4) (x+6, y+5) __________ Did the size of the shape change? Did the orientation of the shape change? A BC (1, 5) (1, 1) (4, 1)

Highlight the translation (1 unit left, 6 units down) Name the pre-image __________ Graph the pre-image Perform the translation algebraically ( x _____, y ________) R (-4, 4) (-4-1, 4-6) R’ (-5, -2) S (3, 4) (3-1, 4-6) S’ (2, -2) T (3, 2) (3-1, 2-6) T’ (2, -4) Graph the new __________ RST -6 Image R’S’T’

Highlight the translation (3 unit left, 7 units up) Name the pre-image __________ Graph the pre-image Perform the translation algebraically ( x _____, y ________) A (-3,-7) (___________) A’ (______) B (7,-7) (___________) B’ (______) C (6, -3) (___________) C’ (______) D (0, -2) (__________) D’ (_______) Graph the new __________________ ABCD Image A’B’C’D’ -3-3, , , , ,0 4, 0 3, 4 -3,5

THINK ABOUT IT!

GRAPHING TRANSLATIONS Pick a specific __________ from the pre-image to begin graphing the image. Identify the coordinate of that vertices Use algebra to determine the new coordinates Graph all vertices to form the new __________ vertice image

HOW DO YOU KNOW WHEN A TRANSFORMATION WAS A TRANSLATION? The image will have the same size, shape and orientation as the preimage.