Math II: Unit 1: Transformations

Slides:

Advertisements

Similar presentations

Translations I can: Vocabulary: Define and identify translations.

Advertisements

Transformations Vocabulary.

Answer the following questions using yesterday’s Translation Task: 1.What is a transformation? 2.What are vertices? 3.When does it mean when geometric.

Transformation in Geometry Created by Ms. O. Strachan.

REFLECTIONS, ROTATIONS AND TRANSLATIONS. Reflections.

Unit 5: Geometric Transformations.

Introduction Rigid motions can also be called congruency transformations. A congruency transformation moves a geometric figure but keeps the same size.

Pre-AP Unit 7 Vocabulary. Area – the measurement attribute that describes the number of square units a figure or region covers Circumference – a linear.

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

Answer the following questions using yesterday’s Translation Task: 1.What is a transformation? 2.What are vertices? 3.When does it mean when geometric.

Transformations Translation “MATH 11” –

10-1(B) and 10-2(D) Translations and Reflections on the Coordinate Plane.

8-10 Transformations Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes.

Transformations on the Coordinate Plane: Translations and Rotations.

INTRODUCTION TO TRANSFORMATIONS AND TRANSLATIONS Unit 7 – Day 1.

CONGRUENCE AND TRANSFORMATIONS (GET GRAPH PAPER WHEN YOU ENTER CLASS) SECTION 4.4.

4-7 Congruence Transformations. A transformation is an operation that maps an original geometric figure, the preimage, onto anew figure called the image.

1 Objectives Define transformations and isometry Identify and draw translations Identify and draw reflections.

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.

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

Lesson 7.1: 1.Vocabulary of Transformations 2.Symmetry 3.Property of Reflection.

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

Lesson 7.1 Rigid Motion in a Plane.

Transformations and Symmetry

Congruence and Transformations on the coordinate plane

Transformation in Geometry

Unit 1: Transformations Lesson 3: Rotations

Every segment is congruent to its image.

Every segment is congruent to its image.

Reflect across the y-axis

Transformations Transformation is an operation that maps the original geometric figure, the pre-image , onto a new figure called the image. A transformation.

9-1 Translations.

Translation Rotation reflection Dilation Pre Image Image Rigid Motions

Warm Up Tell whether the ratios form a proportion. Find the missing number.

Math 8 Learning Target: I can describe what transformations are and identify the different types.

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

Geometry: Unit 1: Transformations

MATH 8 – UNIT 1 REVIEW.

A movement of a figure in a plane.

DRILL If A is in between points B and C and AC is 4x + 12 and AB is 3x – 4 and BC is 57 feet how long is AB? Angles A and B are Supplementary if.

Transformation in Geometry

Translations, Reflections, & Rotations

TRANSFORMATIONS Translations Reflections Rotations

What is a transformation? What are vertices?

Students will be able to define and apply translations.

Unit 4 Transformations.

Reflections in Coordinate Plane

Transformations –Translation

9.1 TRANSFORMAIONS.

9.2 REFLECTIONS.

Translations, Reflections, & Rotations

Bell work Find the value of the missing length.

Transformations Lesson 13.1.

Unit 1 Transformations in the Coordinate Plane

Math 8 Learning Target: I can describe what transformations are and identify the different types.

Chapter 2: Transformations

Warm-Up 2. What type of symmetry does the figure to the right have? How do you know?

Transformations Translation Reflection The FRAME Routine

Transformations.

UNIT SELF-TEST QUESTIONS

Translation Objective: Priority Standards:

Transformations Project

Unit 1 Transformations in the Coordinate Plane

Transformations –Translation, Reflection, Rotation and Dilations

Math 8 Learning Target: I can describe what transformations are and identify the different types.

Presentation transcript:

Math II: Unit 1: Transformations Lesson 1: Translations

Transformations change the position, shape or size of a figure. Two Types of Transformations: Rigid Transformations do not affect length, area, perimeter, or angle measure of a geometric shape. Similarity Transformations do affect the length, area, perimeter, and/or the angle measure of a geometric shape. Pre-image vs Image: A pre-image is the original figure before any transformation has occurred. An image is the resulting figure after a pre-image has been transformed.

Translations: a transformation where a figure slides without turning or changing size and is determined by distance and direction. A B C D E A' B' C' D' E' Pre-image Image

Describe the translation of the pre-image to the image.

Describe the translation of the pre-image to the image.

Vector: Function Rule: A B C A' B' C'

Vector: Function Rule: A B C A' B' C'

Translations are what type of transformation? Do you think the length, area, perimeter, or angle measures have changed during a translation? Translations are what type of transformation? A B C A' B' C'

Locate the image of ∆TOP with vertices Translated by the vector <4, -2>

(x, y)  (x – 3, y - 4) Locate the image of ∆TOP with vertices Translated by the function rule (x, y)  (x – 3, y - 4)