Compositions of transformations off the grid. Determining Transformations Off The Grid 1.Is orientation preserved? a)No - Reflection b)Yes – Rotation,

Slides:



Advertisements
Similar presentations
Lesson 4.2- Transformations on the Coordinate Plane, pg. 197
Advertisements

TRANSFORMATIONS SPI SPI
(7.7) Geometry and spatial reasoning The student uses coordinate geometry to describe location on a plane. The student is expected to: (B) graph reflections.
Transformation in Geometry Created by Ms. O. Strachan.
Transformations on the Coordinate Plane
) Math Pacing Transformations on the Coordinate Plane (3, – 2) III Q (0, 1) J (1, 4) & S (1, 0) (– 3, – 2)
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
Isometries Page Isometry – A transformation in a plane that results in an image that is congruent to the original object. Which transformations.
4.4 Congruence and Transformations
Section 9.5. Composition of Transformations When two or more transformations are combined to form a single transformation, the result is a composition.
9.5 & 9.6 – Compositions of Transformations & Symmetry
Transformations A rule for moving every point in a figure to a new location.
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,
9.1 – Translate Figures and Use Vectors
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.
Section 7.3 Rigid Motion in a Plane Rotation. Bell Work 1.Using your notes, Reflect the figure in the y-axis. 2. Write all the coordinates for both the.
TRANSFORMATIONS SPI SPI TYPES OF TRANSFORMATIONS Reflections – The flip of a figure over a line to produce a mirror image. Reflections.
Review from Friday The composition of two reflections over parallel lines can be described by a translation vector that is: Perpendicular to the two lines.
Transformations LESSON 26POWER UP FPAGE 169. Transformations The new image is read as “A prime, B prime, C prime”
TEST TOMORROW: TRANSFORMATIONS and what’s preserved Translation, Rotation(90,180,270), Reflection(y axis, x axis, orgin, y=x and y= -x, Dilation, Compositions.
Reflection Question 1. Reflection Question 2 m Reflection Question 3.
Lesson 4 – 7 Congruence Transformations
Translations Lesson 6-1.
Warm Up A figure has vertices A, B, and C. After a transformation, the image of the figure has vertices A′, B′, and C′. Draw the pre-image and the image.
1-7 transformations on the coordinate plane
4-7 Congruence Transformations. A transformation is an operation that maps an original geometric figure, the preimage, onto anew figure called the image.
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.
Unit 5 Transformations in the Coordinate Plane. Translations.
8-7 Transformation Objective: Students recognize, describe, and show transformation.
Answers to Homework 8) (4,0) (-4,0) (0,4) 10) (-2,-1) (2,1) (1,-2) 12) (0,0) (0,0) (0,0) 14) BCDEHIKOX.
Translations, Reflections, and Rotations. Vocabulary Transformation- changes the position or orientation of a figure. Image- the resulting figure after.
9.5 & 9.6 – Compositions of Transformations & Symmetry
Sect. 7.1 Rigid Motion in a Plane
Transformations.
Warm Up A figure has vertices A, B, and C. After a transformation, the image of the figure has vertices A′, B′, and C′. Draw the pre-image and the image.
Unit 1: Transformations Lesson 3: Rotations
Test Review for Transformations
Module 2 Lesson 2 Reflections Reflections.
Do-Now Solve the system of equations. (2, –20) and (–1, –2)
Warm-up What is 7% of 28? 40% of 36 is what?.
Translation Rotation reflection Dilation Pre Image Image Rigid Motions
A circular dial with the digits 0 through 9 evenly spaced around its edge can be rotated clockwise 36°. How many times would you have to perform this.
Translations.
9.1 Translations -Transformation: a change in the position, shape, or size of a geometric figure -Preimage: the original figure -Image: the resulting figure.
Perform the following transformations on the point (4,−8):
Congruence and Transformations
4-4 Geometric Transformations with Matrices
Translations Lesson #4 Pg. 39.
Translations Lesson #4 Pg. 39.
Translations.
These are flips, slides, turns, and enlargements/reductions.
Unit 4 Transformations.
9.1 TRANSFORMAIONS.
Translations.
Congruence Transformations
Translations.
Choose the correct translation from pre-image to image B
11.6 Congruence and Transformations
Transformations Translation Reflection The FRAME Routine
Transformations with Matrices
Translations.
Translations.
8th Grade: Chapter 6 TRANSFORMATIONS
Transformations Review
Transformations.
Transformations in a Coordinate Plane
Congruent Figures Day 2.
Presentation transcript:

Compositions of transformations off the grid

Determining Transformations Off The Grid 1.Is orientation preserved? a)No - Reflection b)Yes – Rotation, Translation, or Dilation 2.Is distance preserved? a)No - Dilation b)Yes – Rotation or Translation 3.Has the image been turned? a)No - Translation b)Yes - Rotation

Example: Orientation? Distance? Turned?

Determine the transformation that maps the pre-image of triangle ABC onto the image RQP. Graph 1: Reflection Graph 2: Translation Graph 3: Reflection Graph 4: Reflection

Determining the Composition of Transformations Determine a composition of functions that maps the pre- image ABC onto the image A’B’C’. Reflection over x-axis Rotation 90 degrees

Determine a composition of functions that maps the pre-image ABC onto the image A’B’C’. Reflection over x axis then translation

Determine a composition of functions that maps the pre-image ABC onto the image A’B’C’. Translation then dilation