ORIGINAL IMAGE A ( 2, - 3 ) B ( 9, - 3 ) C ( 5, - 9 ) TRANSLATION A' (, ) B' (, ) C' (, ) Record the Coordinates Then draw the original on grid 1. Translate.

Slides:

Advertisements

Similar presentations

Graphing Ordered Pairs

Advertisements

Flipping Across the Axis

Transformations and the Coordinate Plane. (+,+) (+,-) (-,-) (-,+) I III IV II Do you remember the QUADRANTS? Do you remember the SIGNS for each Quadrant?

TRANSFORMATIONS.

Transformation in Geometry Created by Ms. O. Strachan.

Learn to locate and graph points on the coordinate plane.

5 Minute Check Identify the ordered pair and the quadrant. 1. D 2. U 3. J 4. M 5. P 6. S.

TEKS 8.6 (A,B) & 8.7 (A,D) This slide is meant to be a title page for the whole presentation and not an actual slide. 8.6 (A) Generate similar shapes using.

The Coordinate Plane coordinate plane In coordinate Geometry, grid paper is used to locate points. The plane of the grid is called the coordinate plane.

8.3 Notes Handout.

Types of Numbers Whole numbers 0, 1, 2, 3, 4, 5, …

Graphing Number Relationships

Equations of Lines and Graphing Them Equations of Lines Vertical line x = # Horizontal line y = # Slope, y-intercept y=mx+b Standard Form Ax+By = C using.

Mr. Markwalter.  I have noticed that some people are really only choosing to study seriously when a test comes close.  We are going to start quizzes.

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

Translations, Reflections, and Rotations

Transformation a change of position, shape or size of a figure Three types of transformation A slide called a translation A flip, called a reflection The.

Studying a Reflection. Create a reflection Place the Communicator ® on top of the Transformation Grid and Chart template Locate the three vertices: A(1,0),

Reflections What are reflections?. What are the characteristics of a reflection? A reflection is a mirror image of the original shape. A reflection is.

Holt CA Course 1 8-7Transformations Warm Up Warm Up California Standards California Standards Lesson Presentation Lesson PresentationPreview.

Reflection: an isometry (or rigid motion) in which a figure is flipped giving its image an opposite orientation.

Reflecting over the x-axis and y-axis

5 Minute Check Identify the ordered pair and the quadrant. 1. D 2. U 3. J 4. M 5. P 6. S.

Lesson 11.4 Translations and Reflections

Reflection MCC8.G.3 Describe the effect of dilations, translations, rotations and reflections on two-dimensional figures using coordinates. Picture with.

Getting started.

In mathematics, a transformation

Graph Absolute Value Functions using Transformations

4.3 Reflecting Graphs; Symmetry

Symmetry Two points, P and P ₁, are symmetric with respect to line l when they are the same distance from l, measured along a perpendicular line to l.

Reflection Yes No. Reflection Yes No Line Symmetry.

Warm Up Translate the following coordinates: Translate the following coordinates: (-3, -2)(-2, 2)(0,4)  (x + 2, y – 4)(-3, -2)(-2, 2)(0,4)  (x + 2, y.

Transformations A rule for moving every point in a figure to a new location.

Translations, Reflections, and Rotations

Objective: Students will graph and name ordered pairs (11-7).

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

Graphing Absolute Value Functions using Transformations.

Do Now   Describe the translations in words (x, y)  (x – 5, y + 3) (x, y)  (x + 2, y - 1) (x, y)  (x + 0, y + 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.

Transformations Transformations of Functions and Graphs We will be looking at simple functions and seeing how various modifications to the functions transform.

Geometry warm-up Get a strip of paper from the back desk.

Objective Graph and name ordered pairs (2-9).. Voc.  Coordinate system  Coordinate grid  Origin  X-axis  Y-axis  Quadrants  Ordered pairs  X-coordinate.

Coordinate Grids Ms. Cuervo.

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

FLIPPING ACROSS THE AXIS REFLECTION. WHAT IS REFLECTION? A Reflection is an exact copy of the same image or picture that is flipped across an axis.

Properties or Rules of Transformations Equations used to find new locations.

Reflections Reflection Mirror image over the x axis or the y axis.

Translations Lesson 9-8.

1.8 Glide Reflections and Compositions Warm Up Determine the coordinates of the image of P(4, –7) under each transformation. 1. a translation 3 units left.

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

Algebra I Algebraic Connections Algebra II Absolute Value Functions and Graphs.

Topic 2 Summary Transformations.

 2.3: Reflections. What is a Reflection?  Reflection or flip is a transformation in which a figure is reflected on a line called the line of reflection.

Distance and Reflections Review. Distance Review Cancel out the coordinates that are the same. Subtract if the signs are the same. Add if the signs are.

Chapter Exploring Transformations

Geometric Transformations Math 9. 1.) Translations A slide! Moving the shape left or right and/or up or down. The shape can move horizontally (left/right)

1.7 Motion in the Coordinate Plane Date: _______.

Compositions of Transformations

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

Graphing & Describing “Reflections”. We have learned that there are 4 types of transformations: 1)Translations 2)Reflections 3)Rotations 4)Dilations The.

Coordinate Planes and Transformations. Points on the Coordinate Plane The coordinate plane is made up of two number lines that intersect at right angles.

Line Reflection!.

3B Reflections 9-2 in textbook

Graphing Ordered Pairs

Transformations on the coordinate plane

What do you think will be the values of y?

Graphing Absolute Value Functions

Transformations on the coordinate plane

Presentation transcript:

ORIGINAL IMAGE A ( 2, - 3 ) B ( 9, - 3 ) C ( 5, - 9 ) TRANSLATION A' (, ) B' (, ) C' (, ) Record the Coordinates Then draw the original on grid 1. Translate this image 4 units up, draw the image and record your new coordinates. ORIGINAL A ( -2, - 9 ) B ( - 8, 1 ) C ( 2, 3 ) TRANSLATION A' (, ) B' (, ) C' (, ) Grid 2 ORIGINAL A ( 4, -2 ) B ( 8, 3 ) C ( -3, 2 ) TRANSLATION A' (, ) B' (, ) C' (, ) Grid 3 Translate this 4 units right, draw the image and record your new coordinates. Translate this image 2 units down and 3 units left, draw the image and record your new coordinates.

ORIGINAL IMAGE A ( 2, - 3 ) B ( 9, - 3 ) C ( 5, - 9 ) TRANSLATION A' (, ) B' (, ) C' (, ) Record the Coordinates Then draw the original on grid 4. Reflect the image across the y- axis. Record your new coordinates. ORIGINAL A ( -2, - 9 ) B ( - 8, 1 ) C ( -11,- 11 ) TRANSLATION A' (, ) B' (, ) C' (, ) Grid 5 ORIGINAL A ( 4, -2 ) B ( 8, -2 ) C ( 6, -10 ) TRANSLATION A' (, ) B' (, ) C' (, ) Grid 6 Reflect the image over the y-axis. Record your new coordinates. Reflect the image over the x-axis. Record your new coordinates.

ORIGINAL IMAGE A ( - 8, 6 ) B ( -8,1 ) C ( -2, 6 ) D ( -2, 1 ) TRANSLATION A' (, ) B' (, ) C' (, ) D ' (, ) Record the Coordinates Then draw the original on grid 7 Translate this image 2 units right & 6 units down. FIND YOUR NEW COORDINATES, then graph the translation.

ORIGINAL IMAGE A ( 6, 11 ) B ( 12, 11 ) C ( 3,4 ) D ( 10, 4 ) TRANSLATION A' (, ) B' (, ) C' (, ) D ' (, ) Record the Coordinates Then draw the original on grid 8 Translate this image 8 units left & 9 units down. FIND YOUR NEW COORDINATES, then graph the translation.

ORIGINAL IMAGE A ( - 11, - 3 ) B ( - 7, - 3 ) C ( - 11, - 11 ) D ( - 7, - 11 ) TRANSLATION A' (, ) B' (, ) C' (, ) D ' (, ) Record the Coordinates Then draw the original on grid 9 Translate this image 12 units right & 15 units up. FIND YOUR NEW COORDINATES, then graph the translation.

ORIGINAL IMAGE A ( - 11, - 3 ) B ( - 7, - 3 ) C ( - 11, - 11 ) D ( - 7, - 11 ) REFLECTION A' (, ) B' (, ) C' (, ) D ' (, ) Record the Coordinates Then draw the original on grid 10 FIND NEW COORDINATES if you, Reflect the image over the y-axis. Graph the Reflection

ORIGINAL IMAGE A ( 6, 11 ) B ( 12, 11 ) C ( 3,4 ) D ( 10, 4 ) REFLECTION A' (, ) B' (, ) C' (, ) D ' (, ) Record the Coordinates Then draw the original on grid 11 FIND NEW COORDINATES if you, Reflect the image over the x-axis. Graph the Reflection

ORIGINAL IMAGE A ( - 8, 6 ) B ( -8,1 ) C ( -2, 6 ) D ( -2, 1 ) REFLECTION A' (, ) B' (, ) C' (, ) D ' (, ) Record the Coordinates Then draw the original on grid 12 FIND NEW COORDINATES if you, Reflect the image over the x-axis and then the y-axis in that order. Graph the Reflections REFLECTION A' ' (, ) B' ' (, ) C' ' (, ) D ' ' (, )

Compare the original coordinates with those of the translation. What do you notice? Compare the original coordinates with those of the reflection. What do you notice?

Remember …. RIGHT AND LEFT – You are working on the “x” axis/coordinate (Right is Positive so ADD) (Left is Negative so SUBTRACT) UP & DOWN – You are working on the “y” axis/coordinate (Up is Positive so ADD) (Down is Negative so SUBTRACT) Here’s what it means: 3 LEFT (subtract 3 from all of the “x” coordinates) 3 RIGHT (add 3 to all of the “x” coordinates) 5 UP (add 5 to all of the “y” coordinates) 5 DOWN (subtract 5 from the “y” coordinates)

When reflecting across the X-AXIS: (x coordinates will stay the same, y coordinates will be the opposite) When reflecting across the Y-AXIS: (y coordinates will stay the same, x coordinates will be the opposite)

, let’s do some more graphing but this time FIND THE NEW COORDINATES OF EACH TRANSLATION OR REFLECTION BEFORE YOU GRAPH THE IMAGES. Divide a Sheet of notebook paper into 6 parts or use the back of your previous page for recording the coordinates. Number your grids This time FIND COORDINATES FIRST, then graph to check your work.