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National Council of Teachers of Mathematics
The Math Forum: Multicultural Math Fair: Navajo Burntwater Designs
Simple lesson designed to help young scholars learn the geometric concepts of translation, reflection, and symmetry by creating Navajo weaving patterns. Includes templates and instructions and is available in English and Spanish....
Math Open Reference
Math Open Reference: Plane Geometry: Transformations
Explore transformations of a polygon that include: 1) translation 2) rotation 3) reflection and 4) dilation.
Varsity Tutors
Varsity Tutors: Hotmath: Algebra Review: Transformations of Graphs
Find a quick, concise explanation of the transformations of graphs: translations, reflections and rotations. Examples are given and clearly explained for each transformation.
Government of Alberta
Learn Alberta: Math Interactives: Exploring Transformations
This multimedia Learn Alberta math resource looks at real world examples of transformations found throughout West Edmonton Mall. The accompanying interactive component asks students to predict transformations through looking at...
Texas Education Agency
Texas Gateway: Making Conjectures About Congruence Transformations
Given geometric figures on the coordinate plane, the student will apply the definition of congruence, in terms of rigid transformations, to identify congruent figures. The student will also identify and distinguish between reflectional...
Oswego City School District
Regents Exam Prep Center: Transformations With Functions
This tutorial looks at transformations and investigates how they determine relationships between functions.
Annenberg Foundation
Annenberg Learner: Learning Math: Symmetry
This presentation provides a tutorial on symmetry. In the tutorial, you will do the following: learn about geometric symmetry, explore line or reflection symmetry, explore rotation symmetry, and explore translation symmetry and frieze...
Texas Instruments
Texas Instruments: Geoboard App
Students use the Geoboard App to measure arcs, line segments, area, and perimeter, as well as rotate, reflect, and translate objects.
CK-12 Foundation
Ck 12: Interactive Geometry: 8.1 Circles and Similarity
Learn how similarity transformation is one or more rigid transformations (reflection, rotation, translation) followed by a dilation.
CK-12 Foundation
Ck 12: Interactive Geometry: 2.10 Composite Transformation
See examples of transformations including a translation and a reflection.
University of Georgia
University of Georgia: Transformations: Revisiting Congruence
This site presents information on the three basic transformations of figures in a plane: Reflections, Rotations, and Translations.
Texas Instruments
Texas Instruments: Traveling Shapes Motion Geometry
In this activity, students describe how to move a shape from one place to another in a plane. They learn about translations, rotations, and line reflections. [Requires Adobe Reader.]
Illustrative Mathematics
Illustrative Mathematics: F Tf, G Co, Trigonometric Identities and Rigid Motions
The purpose of this task is to apply translations and reflections to the graphs of the functions f(x)=cos x and g(x)=sin x in order to derive some trigonometric identities. There are also rotations 180 degrees about points on the x-axis...
Illustrative Mathematics
Illustrative Mathematics: G Co Fixed Points of Rigid Motions
A rigid motion of the plane is a map of the plane to itself which preserves distances between points. The purpose of this task is to use fixed points as a tool for studying and classifying rigid motions of the plane, i.e., translations,...
E-learning for Kids
E Learning for Kids: Math: Living in the Mill: 2 D Shapes
Students can use this interactive site to practice various geometric concepts such as rotations, reflections, translations, tesselations and geometric patterns.
Alabama Learning Exchange
Alex: Determine the Vertices of Transformed Images
This hands-on lesson uses exploration and discovery to help students determine the coordinates of the vertices of various figures when translated, rotated, or reflected in a coordinate plane. The exploration phase will access students'...
Math Planet
Math Planet: Geometry: Transformation Using Matrices
Explains how simple polygons translate into matrices and how to use 2x2 matrices to represent transformations in a plane. Includes video demonstrating an example where a vector must be rotated 90 degrees using matrices. [4:18]
University of Georgia
University of Georgia: Inter Math: Transformation
This site defines transformation and lists several different examples of transformations. Be sure to follow the links to related terms, everyday examples, challenging problems, more information, and the interactive check point involving...
Mathigon
Mathigon: Geometry: Rigid Transformations
This lesson focuses on rigid transformations, a specific set of rules that convert one geometric figure into another one. There are many different types of transformations, like reflections or rotations. It provides several practice...
ClassFlow
Class Flow: Tangrams
[Free Registration/Login Required] In this flipchart, students use the interactive features in Activstudio to simulate translations and reflections using objects. Students develop and apply their understanding of geometric sense by...
ClassFlow
Class Flow: Transformations
[Free Registration/Login Required] In this flipchart, students apply multiple transformations to create congruent and similar figures in any or all of the four quadrants. Students apply their geometric sense by using multiple...
Math Is Fun
Math Is Fun: Definition of Congruent
Definition of congruent. Choose the "here's more" link to see examples of a rotation, reflection and translation.
Oswego City School District
Regents Exam Prep Center: General "Transformation" Vocabulary
This site offers a short discussion of transformations. The discussion has few pictures and expresses the transformations in terms of relative coordinates rather than pictures.
Other
Transformational Geometry & Iteration in Mangbetu Art
Mangbetu art shows the use of all four geometric transforms: Reflection, Translation, Rotation, and Scaling. This website will provide you with some cultural background on the Mangbetu and their art. The software will allow you to...