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.
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...
Texas Instruments
Texas Instruments: Transforming "F" on the Coordinate Plane
Students move their cursor in this activity center to occupy a unique point on a background letter "F" in quadrant 1. Students then together follow a rule for going to a different point (such as "use the opposite of the original x...
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.]
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."
Other
P.u.e.m.a.c.: Galeria De Transformaciones
Enjoy constructions created by rotations, reflections and translations. [Requires Java.]
Shodor Education Foundation
Shodor Interactivate: Transmographer 2
Build your own polygon and transform it in the Cartesian coordinate system. Experiment with reflections across any line, rotations about any point, and translations in any direction.
Other
Nearpod: Transformations & Congruence
In this lesson on transformations and congruence, 8th graders will investigate dilations, rotations, reflections, and translations on the coordinate plane and the figures that result from these transformations.
Clark University
Clark University: Dave's Short Trig Course: Transformations of the Plane
Site that focuses on planar pattern and transformations within geometry. It also identifies different kinds of symmetry.
Exploratorium
Exploratorium: Science Snacks: Reflections of a Star
This simple lesson allows students to work cooperatively in determining the angular diameter of the Sun.
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...
Texas Education Agency
Texas Gateway: Comparing and Explaining Transformations
Given rotations, reflections, translations, and dilations, students will be able to develop algebraic representations for rotations and generalize and then compare and contrast the properties of congruence transformations and...
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.
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...
Other
Center for Technology and Teacher Education:exploring and Creating Tessellations
This site is a Geometer's Sketch Pad lesson plan where students explore tessellations through reflections, rotations, and translations.
ClassFlow
Class Flow: Transformations in Geometry
[Free Registration/Login Required] This flipchart was designed to introduce fourth grade students to transformations in geometry. It includes translations, reflections, and rotations.
Illustrative Mathematics
Illustrative Mathematics: G Co Symmetries of a Quadrilateral I
Suppose ABCD is a quadrilateral for which there is exactly one rotation, through an angle larger than 0 degrees and less than 360 degrees, which maps it to itself. Further, no reflections map ABCD to itself. What shape is ABCD? Aligns...
Illustrative Mathematics
Illustrative Mathematics: G Co Symmetries of Rectangles
This task examines the rigid motions which map a rectangle onto itself. The emphasis here is on careful reasoning using the definitions of reflections and rotations. Aligns with G-CO.A.3.
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...
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...
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,...
Illustrative Mathematics
Illustrative Mathematics: G Co Symmetries of a Quadrilateral Ii
There is exactly one reflection and no rotation that sends the convex quadrilateral ABCD onto itself. What shape(s) could quadrilateral ABCD be? Explain. Aligns with G-CO.A.3.
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.
University of Regina (Canada)
University of Regina: Math Central: Symmetry and Translations
This University of Regina site gives some history and definitions about translations and symmetry.