Illustrative Mathematics
Illustrative Mathematics: Reflections, Rotations, and Translations
This task uses GeoGebra software, which can be freely downloaded, to explore what happens to the line segments and angles of a triangle when it is reflected, rotated, and translated. Includes printable task sheet for students and a...
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 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: 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.
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...
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.]
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.
Exploratorium
Exploratorium: Science Snacks: Reflections of a Star
This simple lesson allows students to work cooperatively in determining the angular diameter of the Sun.
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.
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.
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...
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.
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...
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...
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.
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 instructional activity 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.
Other
Nearpod: Introduction to Geometric Transformations
In this activity, students will learn how to describe and identify reflections, rotations, translations, and dilations.
Illustrative Mathematics
Illustrative Mathematics: G Co Seven Circles Ii
In this task, seven pennies are placed in a circle so that they are all touching one in the center and their neighbors. Students are asked to find as many rigid motions of the plane as they can which are symmetries of this configuration...