CK-12 Foundation
Ck 12: Geometry: Types of Transformations Study Guide
[Free Registration/Login may be required to access all resource tools.] Transformations move and modify geometric shapes. There are several types of transformations that all transform figures in different ways. These transformations can...
Rice University
Rice University: Cynthia Lanius: Dueling Pinwheels (Geometer's Sketchpad)
An introductory look at the interactive Geometer's Sketchpad in terms of using it to explore rotations, translations, and reflections. Only a beginner's amount of skill with the program is needed. Exploration questions are given for the...
Shodor Education Foundation
Shodor Interactivate: Transmographer
Shodor Education Foundation provides an applet that "allows the user to explore the world of transformations, reflections, and rotations. It allows the user to translate triangles, squares, and parallelograms on both the x and y-axes."
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: 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.]
Mathigon
Mathigon: Geometry: Symmetry Groups and Wallpapers
This lesson focuses on wallpaper groups. While there are infinitely many possible patterns, they all have one of just 17 different symmetry groups. These are called the Wallpaper Groups. Every wallpaper group is defined by a combination...
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...
TeachEngineering
Teach Engineering: Ding! Going Up? Elevators and Engineering
Students create model elevator carriages and calibrate them, similar to the work of design and quality control engineers. Students use measurements from rotary encoders to recreate the task of calibrating elevators for a high-rise...
Other
Xah Lee: Some Theorems on Rotation and Translation
This site is for the purpose of using proofs for geometry. It helps by giving some useful theorems.
Mangahigh
Mangahigh: Transtar: Reflections, Rotations, Dilations and Translations
For this geometry game, students must guide Transtar, an alien spaceship, across space by applying transformations to it. At the same time, there are dangers to avoid and the number of moves and tries are limited.
BBC
Bbc Schools: Transformations Quiz
Questions related to translations, reflections, rotations, and more can be found on this quiz. Use the links provided to view the quiz in full screen, change the quiz format, review key facts about transformations, and have fun with the...
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.
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...
Khan Academy
Khan Academy: Finish Your Scene!
This activity focuses on finishing the scene by arranging items with rotation. The items that just require translation and scaling are already in place. Now you can add items that also require rotation.
Shodor Education Foundation
Shodor Interactivate: Transformations
This lesson shows elementary learners how they can know that rigid motions like reflections, rotations, and translations create a shape congruent to the original.
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.
National Council of Teachers of Mathematics
The Math Forum: The Four Types of Symmetry in the Plane
This Math Forum site gives visual examples of rotation, translation, reflection, and glide reflection with background information about each. Also gives problems to work on concerning symmetry.
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.
Ministry of Education and Universities of the Region of Murcia (Spain)
Ministerio De Educacion Y Ciencia: Traslaciones, Simetrias Y Giros
In Spanish. In this unit you can learn about movements in the plane: translations, symmetry and rotation.
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,...
Purple Math
Purplemath: Function Transformations
Generally, translation involves only moving the graph around. Squeezing or stretching a graph is more of a "transformation" of the graph. But these two topics are usually taught at the same time, and usually under the same name. Just be...
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.
Other
Nearpod: Transformations on Coordinate Planes
In this lesson on transformations on coordinate planes, 8th graders explore dilation, translation, reflection, and rotation of shapes within a coordinate plane.