Sliding, reflecting and rotating congruent shapes

Slides:

Advertisements

Similar presentations

Transformations on the Coordinate Plane

Advertisements

L4 How many different congruent tiles can you find (needn't be letters) ? Change the outline - eg: (page of these provided) Can you describe how to transform.

Translations I can: Vocabulary: Define and identify translations.

Geometry Solve Problems Organize Model Compute Communicate Measure Reason Analyze.

Presentation by: Tammy Waters Identify, predict, and describe the results of transformation of plane figures: A) Reflections, B) Translations, C)

Unit 5: Geometric Transformations.

Transformations Teacher Version Level

 Transformations Describe the single transformation that will map triangle A onto each of the triangles B to J in turn.

Vocabulary Translation: Moving a shape, without rotating or flipping it. "Sliding". The shape still looks exactly the same, just in a different place.

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

Congruency, Similarity, and Transformations By: Emily Angleberger.

Rotate each shape as described in the diagram. What letter do you get?

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,

Transformational Geometry

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 preimage and image Rigid Motion- A transformation.

In the last several lessons, you have described translations using coordinates. You have also developed strategies for determining where an object started.

YEAR 11 MATHS REVISION Transformations.

Transformations and Art

Chapter Transformations Part 1. Objective: Use a translation, a reflection, and a rotation Describe the image resulting from a transformation.

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

Using Properties of Transformations to Show Congruence VOCABULARY.

Learning Objectives To draw transformations of reflections, rotations, translations and combinations of these using graph paper, transparencies, and /or.

Transformations. Introduction Transformation in math refers to some sort of change of an object in its position or size or in both under certain condition.

Transformations & Symmetry Math Vocabulary Geometry M5.C Aligning with Pennsylvania Department of Education Assessment Anchors and enVision Math Textbook.

Things Needed Today (TNT): Topic: Congruency & Review of Rotations

Transformations and Symmetry

Transformations Main Idea Notes Transformation

REVIEW OF LAST WEEK.

Introduction to transformations

Please pick up a pink warm up from the back table and begin working.

5-1: The Idea of Congruence 5-2: Congruences Between Triangles

LO To assess my understanding of transformations

Lesson – How can I move a shape on a grid

1.3 RIGID MOTIONS.

Transformations Example Draw the line Draw 1 at , ,

MATH 8 – UNIT 1 REVIEW.

Things translate (slide) when they move in a perfectly straight path.

Graphing and Describing “Rotations”

Transformations.

Congruence Transformations

Maintenance Sheet 25 Due Friday Comprehensive Test- Friday

1.3 RIGID MOTIONS.

Transformations: Translations Rotations Reflections

Similar Figures.

Maps one figure onto another figure in a plane.

G17 Combining transformations

Unit 37 Further Transformations

To transform something is to change it

Starter B C D A Follow the instructions on the starter sheet to transform this trapezium in a variety of ways.

Integrated Math One - Module 6 Test Review

Describing Transformations

Transformations: Describing rotations

Reflection, rotation and translation

Rotation and reflection

Presentation transcript:

Sliding, reflecting and rotating congruent shapes You could start by asking the pupils what they understand by these words. You may well want to change them into equivalent words they’re more comfortable with.

This shows the outline of two identical shapes which have been put together without overlapping. Can you see where the boundary line must be? How would you describe how one shape is transformed to the other shape? [One possibility: Rotate lower L shape 90 degrees anticlockwise about (1,2)] See GeoGebra file.]

The same idea [One possibility: slide lower shape up two units] See GeoGebra file.

The same idea again. [One possibility: Flip one shape about the diagonal line through (0,0) and (3,3)] Hand out the next sheet and ask the students to find the boundary line for each shape and then clearly describe how to transform one shape onto the other. Any descriptions need to be perfectly clear so that if they read them out, you (the teacher) would be able to follow their instructions exactly without needing to refer to their diagram.