11.4 Translations and Reflections

Slides:



Advertisements
Similar presentations
Transformations on the Coordinate Plane
Advertisements

TRANSFORMATIONS SPI SPI
Transformation in Geometry Created by Ms. O. Strachan.
Honors Geometry Transformations Section 1 Reflections.
Transformations on the Coordinate Plane
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.
Rigid Motion in a Plane Reflection
Unit 5: Geometric Transformations.
Transformations A rule for moving every point in a figure to a new location.
Coordinate Grids Ms. Cuervo.
Translations. Definitions: Transformations: It is a change that occurs that maps or moves a shape in a specific directions onto an image. These are translations,
10-1(B) and 10-2(D) Translations and Reflections on the Coordinate Plane.
Objective: Students will be able to represent translations, dilations, reflections and rotations with matrices.
1-7 transformations on the coordinate plane
 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.
Transformations Review M7G2: Students will demonstrate understanding of dilations, translations, rotations, and reflections of figures.
A dilation is when the figure either gets larger (enlargement) or smaller (reduction). =
Unit 2 Vocabulary. Line of Reflection- A line that is equidistant to each point corresponding point on the pre- image and image Rigid Motion- A transformation.
3.7 Translations. A) Translation: when we SLIDE a figure to a different location. Transformation: an operation that maps or moves a figure onto an image.
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.
Transformation: Translation and Reflection Objective: To identify and solve problems involving translation, reflection, rotation and dilation Transformation.
11.3 Reflections 1/11/17.
Constructions of Basic Transformations
Transformation in Geometry
Do-Now Find the value of x. A = 20 A = 35 x 4 x – 2 2x 3x A =
Translations and Reflections
Do-Now Solve the system of equations. (2, –20) and (–1, –2)
Transformations Main Idea Notes Transformation
Plotting Points and Transformations
Warm-up What is 7% of 28? 40% of 36 is what?.
Transformations and Tesselations
Translations.
Transformations Example Draw the line Draw 1 at , ,
Reflections & Rotations
A movement of a figure in a plane.
A movement of a figure in a plane.
Section 16.2: Proving Figures are Similar Using Transformations
Transformation Notes 6.07.
Transformation in Geometry
Chapter 10.
Transformations Created by Barbara Fugitt.
Transformations on the coordinate plane
Transformations As Functions
MATIONS.
Motion in the Coordinate Plane
TRANSFORMATIONS Translations Reflections Rotations
Translations.
Rotation: all points in the original figure rotate, or turn, an identical number of degrees around a fixed point.
These are flips, slides, turns, and enlargements/reductions.
Unit 4 Transformations.
9.2 REFLECTIONS.
Translations.
Transformations Lesson 13.1.
Congruence Transformations
Transformations, Congruence, and Similarity
Transformations on the coordinate plane
Translations.
Unit 1 Transformations in the Coordinate Plane
Transformations: Translations Rotations Reflections
Transformations Translation Reflection The FRAME Routine
Translations.
Translations.
11.7 Dilations/Rotation Objective: Students will be able to explain if a figure’s dilation will be an increase or decrease based on the scale factor.
Maps one figure onto another figure in a plane.
Transformations.
Honors Geometry Transformations Section 1 Reflections
Unit 1 Transformations in the Coordinate Plane
Transformations.
Congruent Figures Day 2.
Presentation transcript:

11.4 Translations and Reflections Objective: Students will be able to demonstrate how to translate and reflect coordinates. They will also be able to explain what effect it has on size/shape/area. 11.4 Translations and Reflections

Definitions Transformation: maps original figure onto new figure. Image: new figure. Types Translation Reflection Rotation dilation

Translations Translation: slide a figure. Translation Info Called a slide Same shape and size Orientation is the same. Area/Perimeter not affected

Translate down 2 and right three. Translate 3 up and 2 left.

Translations - st Translate up 2, right 3, down 4 Translate down 3 and left 6

Reflections Reflection: flip a figure over a line. Line of symmetry: line figure flipped over. Usually x or y axis Reflection info Called a flip Figures mirror image Same shape/size Orientation different Area/Perimeter not affected

Reflection - t Reflect over x-axis Reflect over y-axis and then x-axis.

Reflection - st Reflect over the y-axis Reflect over y axis and then x axis.

Reflection or Translation

Wrap-up Questions/Comments Hw: activity Objective: Students will be able to demonstrate how to translate and reflect coordinates. They will also be able to explain what effect it has on size/shape/area.

Activity 1. On your coordinate plane, plot the following points and connect them in order ending with D to A(make sure you label with the letter): A(-9,8), B(-2,8), C(-5,5), D(-5,2). Then from those points reflect over the y-axis. Then reflect over x-axis. Finally translate it 5 to the left and 3 down.