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

Slides:

Advertisements

Similar presentations

Transformations on the Coordinate Plane

Advertisements

TRANSFORMATIONS SPI SPI

MOTION IN GEOMETRY: TRANSFORMATIONS

Transformations Vocabulary.

Lesson 4-7 Congruence Transformations

Triangles and Congruence

MCC8.G.1, 2, and 3 Translation Reflection Rotation.

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.

By D. Fisher Geometric Transformations. Learning Targets I can draw transformations of reflections, rotations, translations and combinations of these.

Transformations on the Coordinate Plane

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.

4.4 Congruence and Transformations

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

4.8 – Perform Congruence Transformations

Rigid Motion in a Plane Chapter 9 Section 1.

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.

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.

TRANSFORMATIONS SPI SPI TYPES OF TRANSFORMATIONS Reflections – The flip of a figure over a line to produce a mirror image. Reflections.

Lesson 4 – 7 Congruence Transformations

Transformational Geometry

1.4 Rigid Motion in a plane Warm Up

TransformationsTransformations. transformation One to One Mapping Preimage Point  Image Point A change of position or size of a figure. A  A´

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

SOL 5.15 The student, using two-dimensional (plane) figures (square, rectangle, triangle, parallelogram, rhombus, kite, and trapezoid) will e) recognize.

Geometry 7.1: Transformations GOAL: Learn the three major types of geometric transformations.

 A transformation is an operation that moves or changes a geometric figure in some way to produce a new figure. The new figure is called the image. Another.

Using Properties of Transformations to Show Congruence VOCABULARY.

What is a rigid transformation?  A transformation that does not change the size or shape of a figure.

Geometric Transformations

4.7 Congruence Transformations

Rigid Motion in a Plane Geometry.

Sect. 7.1 Rigid Motion in a Plane

Transformations What’s it all about?.

Do-Now Solve the system of equations. (2, –20) and (–1, –2)

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

9.3 Rotations Then: You identified rotations and verified them as congruence transformations. Now: You will draw rotations in the coordinate plane.

9-1 Translations.

Warm-up What is 7% of 28? 40% of 36 is what?.

Transformations Sections

Section 9-1 Reflections.

Identify reflections, translations, and rotations.

Reflections & Rotations

9.1 Translations -Transformation: a change in the position, shape, or size of a geometric figure -Preimage: the original figure -Image: the resulting figure.

A movement of a figure in a plane.

4.1: Congruence and Transformation

Translations, Reflections, & Rotations

TRANSFORMATIONS Translations Reflections Rotations

What is a transformation? What are vertices?

Students will be able to define and apply translations.

4-7 Congruence Transformations

9.1 TRANSFORMAIONS.

9.2 REFLECTIONS.

Translations, Reflections, & Rotations

Transformations Lesson 13.1.

Congruence Transformations

Translations, Reflections, & Rotations

11.6 Congruence and Transformations

Transformations: Translations Rotations Reflections

Objective Identify and draw rotations..

Transformations Maria Garcia.

Maps one figure onto another figure in a plane.

Maintenance Sheet 24 due Friday

Transformations Project

Transformations.

Presentation transcript:

4-7 Congruence Transformations

A transformation is an operation that maps an original geometric figure, the preimage, onto anew figure called the image.

The three main types of congruence transformations are reflections, translations, and rotations.

A reflection or a flip is a transformation over a line called the line of reflection. Each point of the preimage and its image are the same distance from the line of reflection.

A translation or a slide is a transformation that moves all points of the original figure the same distance in the same direction.

A rotation or a turn is a transformation around a fixed point called the center of rotation, through a specific angle, and in a specific direction. Each point of the original figure and its image are the same distance from the center.

You can verify that reflections, translations, and rotations of triangles produce congruent triangles using SSS.

Identify the type of congruence transformation shown as a reflection, translation, or rotation.

Identify each transformation and verify that it is a congruence transformation.

A(-4, 5) B(0, 2) C(-4, 2); X(-5, -4) Y(-2, 0) Z (-2, -4)