What is a transformation? What are vertices?

Slides:

Advertisements

Similar presentations

Transformations on the Coordinate Plane

Advertisements

TRANSFORMATIONS SPI SPI

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.

Transformation in Geometry Created by Ms. O. Strachan.

Transformations on the Coordinate Plane

2.4: Rotations.

Unit 5: Geometric Transformations.

1.(2,4) 2. (-3,-1) 3. (-4,2) 4. (1,-3).  The vertices of a triangle are j(-2,1), K(-1,3) and L(0,0). Translate the triangle 4 units right (x+4) and 2.

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

4.8 – Perform Congruence Transformations

) Math Pacing Transformations on the Coordinate Plane (3, – 2) III Q (0, 1) J (1, 4) & S (1, 0) (– 3, – 2)

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.

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.

Unit 1: Transformations, Congruence, and Similarity.

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

Algebra 4-2 Transformations on the Coordinate Plane

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

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

Copyright © Ed2Net Learning Inc.1. 2 Warm Up x y y = 3x - 11) x y y = x - 62)

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

Rotation Translation Reflection. Review of Cartesian Plane.

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

Geometry Transformation s.  There are 3 types of rigid transformations:  Translation – shapes slide  Rotation – shapes turn  Reflection – shapes flip.

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

Algebra 4-2 Transformations on the Coordinate Plane

Algebra 4-2 Transformations on the Coordinate Plane

JEOPARDY Hosted by Ms. Lawrence.

2.2: Translations.

Constructions of Basic Transformations

Graphing in the Coordinate Plane

Transformation in Geometry

Algebra 4-2 Transformations on the Coordinate Plane

Every segment is congruent to its image.

Every segment is congruent to its image.

3B Reflections 9-2 in textbook

Math II: Unit 1: Transformations

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

Warm-up Test Review.

9-1 Translations.

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.

Graphing & Describing “Reflections”

MATH 8 – UNIT 1 REVIEW.

A movement of a figure in a plane.

Translations Lesson #4 Pg. 39.

Translations Lesson #4 Pg. 39.

Transformation in Geometry

TRANSFORMATIONS Translations Reflections Rotations

4-7 Congruence Transformations

9.2 REFLECTIONS.

Algebra 4-2 Transformations on the Coordinate Plane

Algebra 4-2 Transformations on the Coordinate Plane

Congruence Transformations

Algebra 4-2 Transformations on the Coordinate Plane

Math 8 Day 6 Learning Target: Students can describe what transformations are and identify the different types.

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

Chapter 2: Transformations

Warm Up 1. A point P has coordinates (1, 4). What are its new coordinates after reflecting point P across the x-axis? [A] (-1, 4) [B] (1, 4) [C] (1, -4)

Transformations Translation Reflection The FRAME Routine

Maps one figure onto another figure in a plane.

Section 4.3 Rotations Student Learning Goal: Students will identify what a rotation is and then graph a rotation of 90, 180 or 270 degrees on a coordinate.

Translations Concept 36.

Transformations on the Coordinate Plane

Do Now 1. Be in your seat when the bell rings.

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

Presentation transcript:

What is a transformation? What are vertices? Answer the following questions using yesterday’s Translation Task: What is a transformation? What are vertices? When does it mean when geometric figures are congruent? Which ways would you move on the coordinate graph if you moved vertically? Which ways would you move on the coordinate graph if you moved horizontally? What is a pre-image? How can you tell the difference between the original shape and the transformed shape?

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

Coordinate Grid Quadrant II (-, +) Quadrant I (+, +) Quadrant III (-, -) Quadrant IV (+, -)

Translation (Slide) A transformation that "slides" each point of a figure the same distance in the same direction.

Click the Octagon to see Translation. The act of sliding a figure in any direction.

A Horizontal Change affects the x-coordinate. RULES A Horizontal Change affects the x-coordinate. A VERTICAL Change affects the y-coordinate.

Ways to Write a Translation: Direction: Translation (a, b) Ex. Translation (-8, 4) Verbal description: Move vertically 5 units Move horizontally -3 units Move horizontally7 units and vertically 3 units Move the shape to the left 10 units Mapping: (x, y) → (x ± a, y ± b) Ex. (x, y) → (x - 5, y + 7)

What’s the Rule??

Where’s the new figure??

What are the new points??

Reflection (flip) A transformation that "flips" a figure over a line of reflection.

Reflection Click on this trapezoid to see reflection. The result of a figure flipped over a line.

Where’s the new figure??

What are the new points??

Rotation (Turn) A transformation that turns a figure about a fixed point through a given angle and a given direction.

Rotation Click the triangle to see rotation Turning a figure around a point or a vertex Rotation

Where’s the new figure??

Where’s the new figure??

What are the new points??

Which shapes show reflection, translation, or rotation?