# Geometric Translation Teacher Resources

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Lesson Planet

#### EngageNY Geometry Module 1: Congruence, Proof, and Constructions

The 36 lessons in the Geometry Module 1 collection address transformations in teaching geometry brought on by Common Core. The focus here is on transformations and the relationships between transformations and congruence. Teacher...

EngageNY

#### EngageNY Geometry Module 2: Similarity, Proof, and Trigonometry

The Geometry Module 2: Similarity, Proof, and Trigonometry collection includes 36 lessons that are divided into five topics: Scale Drawings, Dilations, Similarity and Dilations, Applying Similarity to Right Triangles, and Trigonometry....

EngageNY

#### EngageNY Precalculus and Advanced Topics Module 1: Complex Numbers and Transformations

Prepare your mathematicians for calculus with a collection of 32 lessons that focus on three topics: linearity, complex number operations as transformations, and the power of right notation. Each lesson includes teacher materials...

Lesson Planet

#### Mathematics Vision Project: Interactive Applets

Ready, set, go! The Mathematics Vision Project provides a collection of 10 Interactive Applets that follow the progression of learning—to practice, develop, and solidify understanding. The interactives use engaging materials that include...

EngageNY

#### Translations

Learn through constructions! Learners examine a translation using constructions and define the translation using a vector. Pupils then construct parallel lines to determine the location of a translated image and use the vector as a guide.

Lesson Planet

#### Transformation - Translation: Lesson

Develop a prime example of sliding about the coordinate plane. Using figures on the coordinate plane, a segment of an extensive geometry playlist introduces the transformation of translations. The presentation uses coordinate notation to...

Lesson Planet

#### Translations and Reflections of Triangles: Transformation Dances

Young scholars explore transformations in dance. In this cross curriculum geometry and dance lesson, students define and identify angles, reflections, and translations, then practice dance movements using a stretchy band that represent...

Lesson Planet

#### Module 7: Connecting Algebra and Geometry

The coordinate plane links key geometry and algebra concepts in this approachable but rigorous unit. The class starts by developing the distance formula from the Pythagorean Theorem, then moves to applications of slope. Activities...

Lesson Planet

#### Translations

Introduce translations as transformations that move figures in horizontal and vertical distances with a video that shows how to translate the figures. A second video covers how to determine the translation that has occurred. Pupils work...

Lesson Planet

#### Translations

Use a translation to create a three-dimensional drawing. Scholars first use patty paper to draw translations and then learn how to apply vectors to locate a translation. They use their understanding of the vector translation to draw...

Lesson Planet

#### Geometry: Translations and Reflections

Group work and participation is used to perform a specified translation or reflection. In this geometrical translation lesson, small groups of pupils are each given a shape to plot on a coordinate grid. Each shape is then translated or...

Lesson Planet

#### Student Workbook: Geometry and Measurement

The volume of this geometry packet is obtuse! Packed with every topic and type of problem learned in the class, each page is nicely organized by section and contains a worksheet and sometimes reference examples.

EngageNY

#### Definition of Translation and Three Basic Properties

Uncover the properties of translations through this exploratory lesson. Learners apply vectors to describe and verify transformations in the second installment of a series of 18. It provides multiple opportunities to practice this...

Lesson Planet

#### Define a Translation

Translate from action to a definition. Given a point and a directed line segment, learners conduct a transformation. The scholars record the steps they take while performing the transformation. The individuals develop a definition from...

Lesson Planet

#### Translation and Reflection

Bring about the change you want to see in the world or at least in your lesson plans. Young mathematicians learn about translation and reflections by applying them to polygons on the coordinate plane. Results provide data to develop...

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#### How Do You Use a Graph to Translate a Figure Diagonally?

This presentation is pretty straightforward in illustrating how to translate a figure on the coordinate plane. Watch the instructor follow the directions to translate the figure four units to the right and six units down.

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#### How Do You Use Coordinates to Translate a Figure Vertically?

Transform the figure six units vertically down. Use the given coordinate points to translate by subtracting 6 from each of the given y-values. Then plot the new coordinates points and connect the dots.

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#### A Transformation's Adventure with Patty Paper: Exploring Translations, Reflections and Rotations

Patty paper isn't just for separating meat. The lesson uses an inexpensive way to experiment with rigid transformations. Pupils use patty paper to create images after a translation, reflection, and rotation. Given a formative assessment,...

Lesson Planet

#### A World of Symmetry: Math-Geometry

Define and identify the three basic forms of symmetry translation, rotation, and glides with your class. They cut out and arrange paper pattern blocks to illustrate symmetry, create a Cartesian graph, and design a rug with a symmetrical...

Lesson Planet

#### What is a Translation?

A translation means moving a figure to another location by sliding it. The figure, called the image, maintains its size and shape. You can move the image horizontally, vertically, or a combination of both.

Lesson Planet

#### Translations (2)

Do the two-step and use coordinates to move your graph side to side with translations. By using the coordinates as the guide for the shifts, learners graph straight on the worksheet and compare their answers with the key.

Lesson Planet

#### Vertical Translations: Vertical Shift of Sinusoidal Functions

Create a shift in TV viewing habits. The interactive presents a cosine model of an individual's TV viewing habits during a year. Class members move the model to reflect given conditions. Finally, they determine key features from the...

Lesson Planet

#### Transformational Geometry

Pupils work in cooperative groups to manipulate a figure on the computer to demonstrate different types of geometric transformations. They generate formulas that can be used to translate different figures.

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#### Transformations and Translations in Geometry

In this transformations and translations in Geometry worksheet, learners use geometric shapes and grids to translate six transformations in each of two activities.

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#### Horizontal Translations or Phase Shifts: Sine

Shift a trigonometric function and find its new equation. Pupils translate a sine function on a graph. The scholars determine the equation of the function that represents the translated graph and observe the connection between a...

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#### Horizontal Translations or Phase Shifts: Horizontal Translations

Find out what causes a function to slide. Pupils move a function along the x-axis and see the resulting change in its equation. Scholars determine the effects that the translation has on the intercepts, domain, and range of the function.

Lesson Planet

#### Vertical Translations: Translating a Square Root Function

How does the equation of a function reflect translations? Scholars manipulate the starting point of the parent square root function before determining the new equations that result from the translations. Class members also determine the...

Lesson Planet

#### Horizontal Translations or Phase Shifts: Horizontal and Vertical Translations

It is all about the shift. Pupils translate the graph of a cubic function to different marked locations on the plane and determine the new equation that represents the shifts. The activity is designed to encourage individuals begin to...

Lesson Planet

#### Translation of Vectors and Slope: Identical Vectors

Translate vectors to find equivalent ones. An interactive shows 10 randomly displayed vectors. Pupils grab the vectors and move them to group them with similar vectors in magnitude and direction. Scholars find the groups of vectors that...

Lesson Planet

#### Connecting Algebra and Geometry

Connect algebra and geometry on the coordinate plane. The eighth unit in a nine-part integrated course has pupils develop the distance formula from the Pythagorean Theorem. Scholars prove geometric theorems using coordinates including...

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#### Use Coordinate Geometry to Represent and/or Solve Problems

A geometry video explains how to solve for midpoint, length of a line, and use the Pythagorean Theorem. It includes multiple guided practice problems for all three equations.

Lesson Planet

#### Geometry Jeopardy!

A list of instructions for this exciting Geometry Jeopardy game is included on slide 2. There are a total of 25 clues and 5 categories, including: solids, triangles, lines, angles, and grab bag. Tip: Play this Jeopardy game with your...

Lesson Planet

#### How Do You Use a Graph to Translate a Figure Horizontally?

Transformations. Learn a little bit of geometry. See how to translate a geometric figure on a coordinate plane horizontally by sliding it over. Simply pick a point on the figure and count the units you want to move it. Then repeat that...

Lesson Planet

#### How Do You Use a Graph to Translate a Figure Vertically?

Transformations. Learn a little bit of geometry. See how to translate a geometric figure on a coordinate plane vertically by sliding it over. Simply pick a point on the figure and count the units you want to move it. Then repeat that for...

Lesson Planet

#### How Do You Use a Graph to Translate a Figure Horizontally?

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#### How Do You Use a Graph to Translate a Figure Vertically?

Lesson Planet

#### What is a Translation?

EngageNY

#### End-of-Module Assessment Task - Geometry (module 1)

Have you hit a wall when trying to create performance task questions? Several open-ended response questions require a deep level of thinking. Topics include triangle congruence, quadrilaterals, special segments, constructions, and...

Lesson Planet

#### Graphic Art Contest

Creativity is endless when your mathematicians take a simple image and use transformations to create their own poster inspired by geometry. While certain rotations and reflections are required, learners will be able to create ten new...

Lesson Planet

#### Verifying Triangles are Congruent

Here the focus is on triangle congruence. Through an activity that requires investigation, questioning, and working together, geometers learn to identify corresponding parts of triangles to determine if the triangles are congruent....

Lesson Planet

#### Translations, Reflections and Rotations

Fifth graders use the Internet to learn about translations, reflections and rotations. Students access the Transmographer program on the Internet, where they practice what they have learned. Students also complete a worksheet.

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#### Geometry: Tessellations

Students create tessellations with computer software while applying their knowledge of reflections, rotations, and translations.

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#### Congruent Rectangles

Very simply, geometers examine a pair of rectangles on graph paper and find a translation and rotation to demonstrate their congruence. A couple of questions follow to stimulate critical thinking about other possibilities.

Lesson Planet

#### High School Mathematics Geometry Vocabulary Word Wall Cards

Having a good working knowledge of math vocabulary is especially important for geometry learners. Here are 119 pages worth of wonderfully constructed definitions, constructions, formulas, properties, theorems, and postulates. This is a...

Lesson Planet

#### Absolute Value Graphing and Translations

Young mathematicians explore how to graph absolute value equations and how these equations can be translated vertically and horizontally. They also use coordinate geometry to locate objects in both two and three dimensions.

Lesson Planet

#### How Do You Use Coordinates to Translate a Figure Horizontally?

There are many ways to transform a figure on a coordinate plane. This problem requires the movement to be four units horizontally to the right. Using the original coordinate pairs, a positive 4 can be added to each x-value to get the new...

Lesson Planet

#### How Do You Translate a Polynomial Function Vertically?

Want to move a graphed function up or down? This is called a function translation. This video looks at translating a cubic function up three units. It considers the function in standard form, the graph of the function, and a table of...

Lesson Planet

#### Geometry Pad+

Graphing paper, pencil, ruler, protractor, and compass, all get replaced or supplemented with this dynamic geometry application. Here, you can create, move, and scale many different shapes, as well as, explore and change their properties...

Lesson Planet

#### Geometry Practice: Transformations, Isometries, and Tessellations

Five pages for geometry practice relating to symmetry provide mathematicians with exercises on transformations and symmetry, properties of isometries, compositions of transformations, tessellations with regular polygons, and other...

Lesson Planet

#### Leaping Lizards

Have you ever wondered how computer animations work and what type of math is involved in making objects move across the screen? For this task, your young computer animators will use the geometric transformation of translations,...

Lesson Planet

#### Matrix Transformations

Twelfth graders explore transforming matrices representing figures in the coordinate plane by entering data points of figures such as triangles and quadrilaterals into a matrix. Students dilate, rotate, reflect, and translate the figures...

Lesson Planet

#### Point Comparisons

Young geometers investigate two-dimensional figures using coordinate grids. They identify polygons and draw examples of their reflection, rotation, and translation on a coordinate grid. And they complete a worksheet practicing examples...

Lesson Planet

#### Transformations Project

Tenth graders define transformation and identify the image and pre-image. In this geometry lesson, 10th graders create their own shapes and transform it on a coordinate plane to create a reflection, rotation, dilation and translation....

Lesson Planet

#### Geometry Practice: Loci and Transformations

This resource guides young geometers to create new polygons from others of equal area, compare an image to its reflection and find errors, conduct repeated reflections, map translations, and determine center of rotation. No solutions are...

Lesson Planet

#### Translations

In this translations worksheet, 10th graders solve and complete 7 different problems that include various types of translations. First, they determine whether the figure is a translation image. Then, students use their geometer to...

Lesson Planet

#### What Brand Are You - Lazy, Crazy, or Rockin'?

Cowboys or geometers perform transformations. In this transformation instructional activity, students explore cattle-branding symbols. They explore reflections, rotations, and translations and discuss cattle brands. Afterward, create...

Lesson Planet

#### Transform Your Geometry into a Work of Art

Mathematicians utilize artwork to help illustrate the major ideas of transformations and tessellations. They visually identify transformations including reflections, rotations, and translations. They discuss how artists have used...

EngageNY

#### Mid-Module Assessment Task - Geometry (Module 1)

How do you prepare class members for the analytical thinking they will need in the real world? An assessment requires the higher order thinking they need to be successful. The module focuses on the concept of rigid transformations...

Lesson Planet

#### Translating Sine and Cosine Functions: Translating Sine

Learn how to slide sine back and forth and up and down. Pupils move the starting point of a graph of sine vertically and horizontally. They investigate the changes to the equation of the graph in relationship to the translation. They...

Lesson Planet

#### Carrying a Figure onto Itself

Your geometry learners will be pros at transforming figures using rotations and reflections after this hands-on lesson. Collaborative groups, with access to geometric construction tools, analyze and report the series of reflections and...

Lesson Planet

#### Transformations: Translations

Students perform transformations and translations using polygons. In this geometry instructional activity, students perform transformations on a coordinate plane. They identify the image and pre-image of each figure.

Lesson Planet

#### Spherical Geometry: A Global Perspective

Students investigate spherical geometry using a globe and an apple. In this spherical geometry lesson plan, students translate Euclidean geometry terms to spherical geometry terms using a globe. They answer 3 questions about spherical...

Lesson Planet

#### Using Symmetry to Create Corporate Logos

Young mathematicians investigate the use of symmetry in graphic design. After first learning about reflection, translational, and rotational symmetry, children use this new knowledge to identify symmetry in letters of the alphabet and...

EngageNY

#### The Geometric Effect of Some Complex Arithmetic 1

Translating complex numbers is as simple as adding 1, 2, 3. In the ninth lesson in a 32-part series, the class takes a deeper look at the geometric effect of adding and subtracting complex numbers. The resource leads pupils into what it...

Lesson Planet

#### Horizontal Translations or Phase Shifts: Cosine

If cosine is shifted, how is its equation affected? Learners manipulate the graph of cosine by moving the y-intercept to different locations on the coordinate plane. Pupils determine the new equation that models the shifts.

Lesson Planet

#### Horizontal Translations or Phase Shifts: Tangent

Patterns can be shifty! Find the pattern when shifting the graph of tangent. Pupils move the graph of tangent to different locations on the coordinate plane. They observe what happens to the function and its vertical asymptotes before...

Lesson Planet

#### Vertical Translations

Change the y-intercept by adding a constant to the function. Individuals move three functions vertically along the y-axis. As they observe how the equation of the functions change with the vertical movement, learners determine how to...

Lesson Planet

#### Translation of Vectors and Slope: Rearranging a Classroom

Find out if vectors are equal in the classroom. Pupils use the interactive to create vectors showing the movements boys perform in rearranging classroom furniture. The scholars determine which boy moved furniture the farthest, or if they...

Lesson Planet

#### Restricted Domain and Range: Translation of a Curve

Moving the graph of a function obviously changes its domain and range. Scholars adjust the location of a graph in an interactive coordinate plane. The interactive automatically updates and displays the domain and range to show how it...

Lesson Planet

#### Translations, Reflections, and Rotations

Tenth graders have been introduced to the concepts of translation, reflection, and rotation, and have practiced translating, reflecting, and rotating two-dimensional objects on the coordinate plane.

Lesson Planet

#### The Geometry of Indigenous Art

Students examine the concepts of symmetry, rotations, reflections, translation, dialations, and tessellations and apply them to indigenous art. They also do Internet research and create artwork (painting, pottery, computer graphic design).

Lesson Planet

#### Translations, Reflections, and Rotations

Learners are introduced to the concepts of translation, reflection, and rotation. They practice translating, reflecting, and rotating two-dimensional objects on the coordinate plane. students use computers to learn about the three concepts.

Lesson Planet

#### Symmetry of Road Signs

Learners identify symmetry in road signs. In this geometry lesson plan, students explore objects in the real world for symmetry. They perform translation, rotation and reflection.

Lesson Planet

#### Transformation Rules

Students investigate transformations. In this Algebra I/Geometry instructional activity, students explore reflections, translations, rotations and dilations. Students write a rule for each transformation in their own words and symbolic...

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#### Defining Transformations that Create Congruent Figures

Rotations, reflections, and translations are explored as geometers rotate through three different stations and develop their own definitions for these terms. Afterward, they work in small groups to classify different figures based on...

Lesson Planet

#### Geometry: Transformations, Congruence, and Similarity

Rigid motions are to congruence as what are to similarity? Investigate properties of rigid motions and define congruence in terms of rigid motions with the ninth chapter of a 10-part eighth grade workbook series. The lesson then prompts...

Lesson Planet

#### Transformation Application

Tenth graders explore transformations. In this geometry lesson plan, 10th graders use tiles to create border or frieze patterns. Students identify the transformations used and identify it as an isometry or congruence transformation....

Lesson Planet

#### Transformations and Matrices

There are four activities in this extensive lesson covering the identity matrix and scaling, the linear representation of translations, the linear representation of rotations, and reflections. In small groups, they use the Cabri II...

Lesson Planet

#### What is a Transformation?

A transformation is the process of changing the graph of a figure or a shape. The instructor introduces the four most common transformations: reflection, dilation, rotation, and translation. So watch as she draws the transformations on a...

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#### What is a Transformation?

Lesson Planet

#### Mixed Transformations

Viewers learn how to identify and perform a variety of transformations with a video that provides seven items on transformations. Pupils demonstrate their understanding of dilations, reflections, rotations, and translations. The video...

Lesson Planet

#### Transformations of Graphs

Geometric transformations in algebra ... what? Given four transformations, the narrator explains how each affect the graph of the original function. The transformations involve translations and reflections, both horizontally and...

Lesson Planet

#### Transformational Geometry Using the Geometer's Sketchpad

Middle schoolers complete a webquest on the various types of symmetry. Using a computer, they explore the concepts of transformational geometry and identify points, segments, lines and planes. They experiment with the rotation of a...

Lesson Planet

#### Geometry: Second Semester Final Exam

High schoolers complete problems dealing with topics covered during the second semester. They find the scale factor of a dilation, identify the rotation and reflection of figures, identify the angle measure of a sector, add matrices, and...

Lesson Planet

#### An Introduction to Transformations

Use geometry to transform learning! This introduction to transformations has pupils use patty paper and rubber bands to create rotations, reflections, translations, and dilations. Individuals learn the vocabulary and notation related to...

EngageNY

#### Dividing Segments Proportionately

Fractions, ratios, and proportions: what do they have to do with segments? Scholars discover the midpoint formula through coordinate geometry. Next, they expand on the formula to apply it to dividing the segment into different ratios and...

EngageNY

#### Transformations—The Next Level

Transform your geometry instruction by incorporating role play into math class. Pupils begin by completing an assessment to locate unknown angles, and then performing a simulation activity to better understand rotations, reflections, and...

Lesson Planet

#### Tessellations

Students construct tessellations using reflections, rotations, and translations. In this tessellations lesson, students use Cabri Jr. to construct two different constructions of a triangle and quadrilateral. Students then transform the...

Lesson Planet

#### Practice 9-1 Translations

In this translation worksheet, students identify rules that describe given translations. They determine the image of a figure under a given translation. This one-page worksheet contains 19 problems.

Lesson Planet

#### Quiz: Intuitive Notion of Translations

In this geometric translations worksheet, students answer ten yes or no questions telling if each pair of pictures is a geometric translation.

Lesson Planet

#### Geometry: Transformations Practice

Graph transformations, write rules to describe transformations, find coordinates of vertices after given transformations: geometers practice these skills on a two-page learning exercise in 14 problems. No answers are provided.

Lesson Planet

#### Tessellations: Geometry and Symmetry

Students explore the concept of tessellations. In this tessellations instructional activity, students use an applet to construct tessellations. Students use regular polygons to construct tessellations. Students find patterns and symmetry...

Lesson Planet

#### Origami Ducks: Geometry, Listening, and Following Directions

Make origami ducks with your class to reinforce geometry concepts and vocabulary; develop fine motor and visual translation skills; and enrich study of Japanese culture, the pond habitat, or migration. Create a whole group "worksheet"...

Lesson Planet

#### Geometry History Lesson

Tenth graders investigate the early history of geometry. In this geometry lesson, 10th graders investigate translations, rotations, and reflections. They also solve problems with line of symmetry and rotational symmetry while reviewing...

Lesson Planet

#### Geometry Skills: Flip, Turns, Slides

In this geometry skills worksheet, students solve 6 problems that require them to note the pictured letter pairs as flips, turns, or slides.

Lesson Planet

#### Geometry: Flip, Turn or Slide?

In this geometry activity, students check either flip, turn or slide next to a letter to determine which has been done to it. A reference web site is given for additional activities.

Lesson Planet

#### Module 6: Congruence, Construction, and Proof

Trace the links between a variety of math concepts in this far-reaching unit. Ideas that seem very different on the outset (like the distance formula and rigid transformations) come together in very natural and logical ways. This unit...

Lesson Planet

#### Transformations

Plane figures have the ability to transform. They can move in three different ways. Students explore translations, rotations, and reflections as they relate to plane figures in geometry. Each student uses a digital camera to photograph 1...

Lesson Planet

#### Transformations With Lists

High schoolers explore the concept of transformations. In this transformations lesson plan, students enter data into lists and make a scatter plot of points. High schoolers use lists to transform the data points by shifting the points,...

Lesson Planet

#### Rigid Transformations

In this rigid transformation worksheet, learners follow directions to translate, reflect or rotate a figure in a coordinate plane. Examples and explanations are provided at the beginning of the document. This two-page worksheet contains...

Lesson Planet

#### Transforming Congruent Figures: Pretest

Use this geometry worksheet to have learners answer ten multiple choice questions based on their knowledge of transforming congruent figures.

Lesson Planet

#### Transformation Sensation

Turn your geometry learners into landscape architects with a lesson on transformed figures. Using a map of your school, flower beds need to designed which adhere to specific geometric requirements including reflections and rotations. Let...

Lesson Planet

#### Unit Squares and Triangles

This is an interesting geometry problem. Given the figure, find the area of a triangle that is created by the intersecting lines. The solution requires one to use what he/she knows about coordinate geometry, as well as triangle and angle...

EngageNY

#### Segments That Meet at Right Angles

Can segments be considered perpendicular if they don't intersect? Learners look at nonintersecting segments on the coordinate plane and make conclusions about the lines that contain those segments. They determine if they are...

Lesson Planet

#### Escher-Esque Tessellations

Middle and high schoolers participate in a seven-part instructional activity creating Escher-Esque tessellations. They demonstrate their knowledge of geometric transformations after viewing a PowerPoint presentation, conducting Internet...

Lesson Planet

#### Transformation of a Triangle Worksheet

With this one-page, straightforward activity, nascent geometers reflect, translate, rotate, and dilate a right triangle. No solutions are provided.

Lesson Planet

#### Transformations and Tessellations

Shape shifters explore transformation through the construction of patterns on a TI handheld. In this math lesson, students investigate and apply their knowledge of reflection, translation, rotation, and dilation. This assignment requires...

Lesson Planet

#### Translations, Rotations, Reflections In the World Around Us

Students identify translation, rotation and reflection. In this geometry lesson, students identify the different properties of shapes on a coordinate plane. They identify translations in the real world.

Lesson Planet

#### Transformations and Translations

In this transformations/translation learning exercise, students draw transformations based on shapes and vectors of given translations. A reference web site is given for additional activities.

Lesson Planet

#### Vertical and Horizontal Translations

Students analyze function graphs. In this Algebra II/Pre-calculus lesson, students investigate the graph of a function as they determine to which family of functions it belongs, determine the parent function and describe the translation...

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#### Translations

Students perform translations on different polygons. In this geometry lesson, students create figures that will be used as an assessment to represent transformation. They perform hands on creation and relate it to the real world.

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#### Tetrominoes and Translations

Students explore geometry by participating in a pattern identification activity. In this tetrominoes lesson, students define the characteristics of congruent and symmetrical shapes. Students practice translating shapes across quadrants...

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#### Reflection, Rotation and Translation

In this reflection, rotation and translation worksheet, students describe, in the correct order, what happens to sets of shapes. ï»¿ï»¿ï»¿A reference web site is given for additional activities.

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#### I Spy Geometry

Students examine shapes and sizes by viewing images in a slide-show. In this geometry identification lesson, students view a PowerPoint presentation with images of shapes the students identify and describe. Students discuss the...

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#### Flips, Sides and Turns: Exploring Transformations

Students use an online dictionaries to define key geometric terms. They explore several websites to help them differentiate the terms reflections, translations and rotations as they apply to geometry and then complete an assessment...

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#### Archeologist Frieze Patterns

Learners construct frieze patterns using translations and rotations. They will discuss how frieze patterns are similar to jigsaw puzzles and use Cabri Jr. to build a triangle frieze pattern using rotations, translations, and reflections.

Lesson Planet

#### Geometric Transformations

Learners examine images and preimages of a mapping and identify isometry. They view images by M.C. Escher, observe teacher demonstrations, and create a translation image, a rotation image, and a dilation.

EngageNY

#### Complex Numbers and Transformations

Your learners combine their knowledge of real and imaginary numbers and matrices in an activity containing thirty lessons, two assessments (mid-module and end module), and their corresponding rubrics. Centered on complex numbers and...

Lesson Planet

#### Module 1: Transformations and Symmetry

No need to change anything about the resource. The first of eight modules in the MVP Geometry unit focuses on transformations in the coordinate plane. It connects translations, rotations, and reflections to congruence, symmetry, and...

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#### Aaron's Designs

Working with transformations allows the class to take a turn for the better. The short assessment has class members perform transformations on the coordinate plane. The translations, reflections, and rotations create pattern designs on...

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#### Transformations in the Coordinate Plane

Your learners connect the new concepts of transformations in the coordinate plane to their previous knowledge using the solid vocabulary development in this unit. Like a foreign language, mathematics has its own set of vocabulary terms...

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#### Transformations

Geometry in life-sized dimensions! Using enlarged graph paper, pupils perform a series of transformations. By recording the initial and final placement of the images, they are able to analyze the patterns in the coordinates during a...

Lesson Planet

#### Why Does SSS Work?

While it may seem incredibly obvious to the geometry student that congruent sides make congruent triangles, the proving of this by definition actually takes a bit of work. This exercise steps the class through this kind of proof by...

EngageNY

#### Distance and Complex Numbers 1

To work through the complexity of coordinate geometry pupils make the connection between the coordinate plane and the complex plane as they plot complex numbers in the 11th part of a series of 32. Making the connection between the two...

Lesson Planet

#### Pixar: The Math Behind the Movies

When will we ever use this? A Pixar movie maker explains to students how math is used in the creation of animated films. The movie maker discusses the importance of coordinate planes, transformations and translations, and trigonometry.

Lesson Planet

#### Composing Transformations: Lesson

Double the transformations, double the fun! Using the knowledge of transformations, the video combines two transformations of figures on the coordinate plane. The segment of a geometry playlist, finds a single transformation that will...

Lesson Planet

#### Smarter Balanced Sample Items: 8th Grade Math – Target G

Transform the thinking of transformations with six sample items that illustrate the first four standards in the eighth grade geometry domain. Items use the coordinate plane to transform figures and analyze the relationship of the figures...

Lesson Planet

#### The Geometry of Paul Goble's Artwork

Students examine the concepts of geometry used by Paul Goble in his book Adopted By The Eagles. After analyzing Mr. Goble's work they create an original piece featuring symmetry, pattern, repetition, and other principles of geometry....

Lesson Planet

#### Translations, Reflections, Rotations

Tenth graders explore translations, rotations and reflections of two dimensional objects. In this geometry lesson, 10th graders use transformation to move objects and shapes around on a coordinate plane. They create a hands on...

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#### Geometry in the real world

Learners investigate geometric shapes and patterns. In this geometry lesson, students explore and analyze primary source images, mostly buildings and building interiors, to identify geometry shapes, patterns, and concepts.

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#### Dilation and Area

Students investigate dilations. In this geometry lesson, students investigate the relationship between the area of a geometric shape and the dilation factor. The use of geometry software allows for conjecture and verification.

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#### Geometry Level 3

What a wonderful resource! Learners create two-dimensional shapes according to the instructions stated, use the squares to make a triangular prism, a cube, and a pyramid, and identify features of plane shapes, among a myriad of other...

Lesson Planet

#### Brain Train

A lengthy presentation on geometric reflections is here for your young geometers. Learners consider a shape, then must choose between four reflections to find the one that is a true vertical, horizontal, or diagonal reflection of the...

Lesson Planet

#### Molecule Shapes: Basics

In molecules, bonds rotate about the nucleus due to the repulsion of subatomic particles. In a simulation, learners manipulate the bonds of a molecule to meet the atoms' needs. They can then see the specific molecular shapes of five...

Lesson Planet

#### Geometry Standardized Test Practice

In this angles and figures review activity, 10th graders solve and complete 39 different multiple choice problems. First, they find the length of a line between two given points. Then, students name the type of transformation and the...

Lesson Planet

#### Transformation, Reflections, Rotations and Translations

Students create a quilt, using different patterns. In this geometry instructional activity, students apply prior knowledge as they use different patterns to help them create a quilt using transformations and geometric shapes.

Lesson Planet

#### Congruence Through Transformations

Transform your instructional activity on transformations. Learners use given congruent triangles and tracing paper to determine the single transformation that carries one to the other. The concept is extended to combinations of...

Lesson Planet

#### Similarity and Dilations - Discover Properties of Similar Figures

Learners investigate properties of similar figures. In this properties of similar figures lesson, pupils construct similar figures using Cabri Jr. They dilate their figure to create a similar one, and discuss the relationships between...

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#### Cubic Graph

Connect cubic graphs to equations. After connecting solutions of a cubic equation to zeros of its related cubic function, pupils investigate a translation of the cubic function.

Lesson Planet

#### Math Grade 8: Explore Transformations and Symmetry

Block letters can help with your understanding of geometry. Learners create three-letter words using letters that have either rotational or line symmetry. They write the words on a grid and apply rotations, reflections, and translations.

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#### Practice: Word Problems

Congratulations, you've just hit the word problem jackpot! Covering an incredible range of topics from integers and fractions, to percents, geometry, and much more, this collection of worksheets will keep young mathematicians busy...

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#### Google Earth Trip

A trip around the world sounds nice, but for now we'll just have to make do with Google Earth. Pupils use pictures of landmarks to apply geometry concepts. They determine whether each building has bilateral or rotational symmetry, search...

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#### Part II - Geometry Semester Review (Angles, Triangles, Similarity, Midpoint)

Review what you've covered this semester with this 16 page packet. The class is required to determine angle measurement when given two parallel lines and a transversal. They find the length of the sides of a triangle using similar...

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#### Compositions of Reflections

For this compositions of reflections worksheet, 10th graders solve and complete 17 different types of problems. First, they match each image of the figure on the left with one of the listed isometries. Then, 10th graders find the image...

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#### Geometry Standardized Test Practice

In this figures and graphs review worksheet, 10th graders solve and complete 23 various types of problems that include identifying various figures and graphs. First, they name the transformation that maps the unshaded figure or preimage...

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#### What Brand Are You-Lazy, Crazy or Rockin

Students identify 32 shapes as being an example of a reflection, rotation, or a translation. Students answer 12 short answer questions about the shapes.

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#### Finding the Area of a Parallelogram with Translations

Students calculate the area of a parallelogram. In this geometry lesson plan, students perform translation using a coordinate plane and coordinate pairs. They perform translation on other polygons.

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#### Finding the Area of a Parallelogram with Translations

Students calculate the area of parallelograms. In this geometry instructional activity, students identify properties of parallelograms and use to to solve problems. They create polygons using Cabri software.

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#### Geometry, Measurement & Reasoning

Students complete worksheets involving rotational symmetry. In this geometry lesson, students complete worksheets to identify rotational symmetry and rotations. They compare and contrast rotated figures. Students examine the relationship...

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#### Quiz: Translations and Vectors

In this translation and vector activity, students graph and label translations of polygons and points. Translation instructions are given as ordered pairs, as well as in written words. This one-page activity contains ten problems.

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#### Transformations

Middle schoolers solve and identify 10 different problems that include transformations and identifying translations. They determine if each figure is an example of a translation and explain how each figure may or may not be a...

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#### Transformations

Tenth graders explore transformations. In this geometry instructional activity, 10th graders investigate translations, reflections, rotations, and dilatation's on a Cartesian coordinate plane. Step-by-step instructions are provided for...

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#### Transformations

For any study of upper-level geometry, this presentation could be of good use. It defines three important concepts: transformation, reflection, and rotation. Although brief, this presentation could easily be used in tandem with problems...

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#### Shooting Arrows through a Hoop

The slope makes a difference. Given an equation of a circle and point, scholars determine the relationship of the slope of a line through the point and the number of intersections with the circle. After graphing the relationship, pupils...

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#### Translations

Students explore the concept of translations. For this translations lesson, students discuss similarities and differences between images and pre-images. Students apply translations to coordinates of figures. Students use patty paper to...

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#### Translations

In this translation worksheet, 10th graders solve and complete 10 different problems related to various types of translations. First, they determine the point of a given translation. Then, students indicate whether the graphs shown,...

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#### Reflections and Translations

In this reflection and translation learning exercise, 10th graders solve and complete 10 different problems. First, they find the coordinates of a line reflected across the y-axis. Then, students determine which quadrant a circle is in...

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#### Introduction to Transformations

Tenth graders investigate transformations. In this geometry lesson, 10th graders explore a rotation, a reflection, and a rotation. Students use the dynamic capabilities of the TI-npire to make and test conjectures about transformations.

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#### Rotations and reflections

In this rotations activity, students complete problems having to do with shapes and their rotations, reflections, symmetry, translations, and more. Students complete 6 problems.

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#### Reflections and Line Symmetry

Seventh graders explore the language and notation associated with reflections and reflect two-dimensional shapes in given mirror lines. They recognize the line symmetry of a variety of shapes using geometry software on their computers.

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#### Mathematical Justification and Logic

Tenth graders utilize deductive and inductive reasoning skills to interpret information, identify the problem, translate logical arguments into symbolic form, and develop logical conclusions. Answers to problems are justified in...

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#### Translations

In this geometry worksheet, 10th graders determine the new coordinates of a geometric figure after performing a translation. The one page worksheet contains ten questions. Answers are included.

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#### 1-3 Practice: Solving Equations

In this solving equations worksheet, learners translate verbal expressions to algebraic expressions and visa versa. They identify the illustrated property and solve algebraic equations. This one-page worksheet contains 24 problems.

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#### Multiple-Choice Final: Geometry

In this geometry final exam, students complete problems covered during the spring semester. They translate points, identify the scale factor, find the missing side of similar figures, and determine angle measurement. This thirteen-page...

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#### Geometry Practice Exam

In this reflections and rotations worksheet, students reflect and rotate lines in graphs and draw lines of symmetry through patterns. Students complete 24 problems.

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#### Geometry Exam

In this reflections and symmetry worksheet, students draw lines of symmetry in shapes and patterns and reflect letters over lines in graphs. Students complete 20 problems.

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#### Geometry: Flip, Turn or Slide?

In this geometry worksheet, students determine "what has been done to a set of figures" by checking either 'flip' 'turn' or 'slide' next to each. A reference web site is given for additional activities.

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#### Transfomations: 4th Grade

How is a plane figure like a toy Transformer? They both have the ability to change. Students think about the ways plane shapes can transform. They practice concept vocabulary then use the computer to design their own quilt square. Their...

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#### Investigate the Rigid Motions of Reflection, Rotation, Translation, and Dilation

Students investigate the rigid motions of reflection, rotation, translation, and dilation. This investigation be accomplished through classroom instruction and exploration using Geometer's Sketchpad.

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#### Transformations-Translations

Students perform transformations and translation on a coordinate plane. In this geometry lesson plan, students move shapes around on a graph identifying translation, image, and transformation. This lesson plan has an interactive part...

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#### Motions In Geometry

In this motions in geometry worksheet, students draw translations, rotations, and reflections. This three-page worksheet contains examples, instructions, and 6 problems. The last page contains answers.

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#### Coordinate Geometry

Students review important concepts of plotting on a coordinate plane. In this geometry lesson, students solve for the midpoint and distance using the correct formula. They identify plots and pairs of coordinates.

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#### Connecting Translations, Reflections, and Rotations

Learners differentiate between translation, reflection and rotation. They explore the 3 types of transformation using Cabri Jr. and build on previous knowledge in this lesson plan.

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#### Four Translate The Logic Statement into Symbolic Form

In this logic symbolic form worksheet, students translate four logic statements into symbolic form. The solutions are not provided.

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#### Translate Four Logic Problems

In this logic worksheet, students translate equality statements and logic notation in four problems. Students should be familiar with logic symbols to do this worksheet.

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#### Translations, Rotations, and Reflections on the Coordinate Plan

Students solve problems with reflections and rotation. In this geometry instructional activity, students identify shapes using rotation, translation and reflection. They apply all these properties using a coordinate plane.

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#### Reflection, Rotation and Translation

In this reflection, rotation and translation worksheet, students describe which of the above happens to a set of shapes, and in what order. A reference web site is given for additional activities.

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#### Reflection, Translation and Rotation

For this rotation, reflection and translation worksheet, students look at shapes on a grid and determine what happens to the shape, in order. A reference web site is given for additional activities.

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#### Reflection, Translation and Rotation

In this reflection, translation and rotation worksheet, students determine which of these things have been done to s set of figures. A reference web site is given for additional activities.

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#### Reflection, Rotation or Translation?

For this reflection, rotation and translation worksheet, students determine which has been done to a set of 6 figures. A reference web site is given for additional activities.

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#### Exploring Transformations with Geometer's Sketchpad

Clearly written, step-by-step guided practice in creating a figure and performing a transformation with the award-winning Geometer's Sketchpad software makes up the first three pages of this resource. Questions ask for explanations of...

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#### Dancing for Joy

Two transformations for the price of one. Using patty paper, young mathematicians extend their understanding of transformations. They consider sequences of two or more transformations.

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#### Transformations

How is it transforming? Using videos on metamorphosis, hook the class with this STEM plan on transformations. The open inquiry lesson instructs the class to explore the effects of transformation on the coordinate plane. Groups develop...

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#### How Did It Get There? A Series of Transformative Events

Flip, turn, and slide to get there. With the aid of hands-on materials, pairs transform a figure from one place on the coordinate plane to another. They determine a sequence that will move one figure to another and present different...

EngageNY

#### Four Interesting Transformations of Functions (Part 1)

Understanding how functions transform is a key concept in mathematics. This introductory lesson makes a strong connection between the function, table, and graph when exploring transformations. While the resource uses absolute value...

EngageNY

#### Looking More Carefully at Parallel Lines

Can you prove it? Making assumptions in geometry is commonplace. This resource requires mathematicians to prove the parallel line postulate through constructions. Learners construct parallel lines with a 180-degree rotation and then...

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#### Transformations and Tessellations

The concept of transformation is explored as students use their Ti-Nspire to transform polygons. Students translate, reflect, and rotate various polygons and construct tessellations.

EngageNY

#### Modeling Video Game Motion with Matrices 2

The second day of a two-part lesson on motion introduces the class to circular motion. Pupils learn how to incorporate a time parameter into the rotational matrix transformations they already know. The 24th installment in the 32-part...

EngageNY

#### Mid-Module Assessment Task: Grade 8 Module 2

It's time for a concept check! Check for student understanding over the three types of rigid transformations. The assessment follows the first 10 lessons in this series and to test pupils' proficiency of these concepts. Individuals...

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#### Transformations=Grade 10

Tenth graders explore transformations. In this geometry lesson, 10th graders recognize, perform and derive rules for the basic transformations of translation, reflection, and rotation. The lesson also considers compositions.

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#### Tantalizing Tessellations

Students create rotation templates from cardboard, covering sheets of paper with repeating patterns. They add details to create Escher-type pieces of artwork. They examine transformational geometry on various Web sites.

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#### Angle Exploration and Classification

Students compare and contrast angles and identify them as acute, obtuse, right, or straight angles. They create rays and angles using uncooked spaghetti, read and discuss key vocabulary terms, and complete a variety of geometry worksheets.

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#### Geometry and Spatial Reasoning 2

In this math worksheet, students use pictures of hands, bears, and cartoon characters to review geometrical terms including reflections and rotations.

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#### Internet Field Trip on Fractions and Geometry

Students take an Internet field trip to research fractions. ESOL strategies include using pattern block manipulatives and pairing ESOL and non-ESOL students on computers.

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#### Chapter 8 Vocabulary: Geometry

In this vocabulary worksheet, students match the vocabulary word to its proper definition. They identify words such as symmetry, scale factor, coordinate plane, rotation, reflection, and translation.

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#### Miras, Mirrors, and Kaleidoscopes!

Students use hands-on activities to explore transformations. They view a video segment that demonstrate how M. C. Escher employed geometry and transformations to create so many of his famous drawings.

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#### Mira, Mira on the Wall: Reflections

Students investigate and perform reflections and symmetry. In this geometry lesson, students compare and contrast the relationship between reflections and symmetries.

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#### Angles, Line Segments and Shapes

In this angles, line segments and shapes review worksheet, 10th graders solve and complete 100 various types of problems related to geometry. First, they name all the planes represented in a given figure and then write a converse...

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#### Transformational Puppet

Tenth graders explore transformations. In this geometry lesson, 10th graders investigate transformation through the constructions of a puppet created with Cabri Jr. and the properties of translations and reflections.

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#### Composition of Reflections

Students perform reflections and translations of polygons. In this geometry lesson, students perform reflection in two parallel lines. They use Cabri to observe the transformation and rotations of each shape.