Texas Instruments
Texas Instruments: Connecting Translations, Reflection, and Rotations
In this activity, students will investigate the relationship among the three types of rigid transformations - translations, rotations, and reflections.
Shodor Education Foundation
Shodor Interactivate: Lesson: Translations, Reflections, and Rotations
This upper elementary and middle school lesson plan introduces a variety of motion geometry concepts such as translations, reflections, and rotations. Lots of interactive support for learners.
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...
Hofstra University
New Functions From Old: Scaled and Shifted
Includes rules, examples, and sample problems on 6 different types of translations; vertical and horizontal shift, stretch, and reflection. Uses six basic functions (x, x^2, x^3, 1/x, x^1/2, and abs(x)) throughout examples, which makes...
Richland Community College
Richland Community College: Shifting, Reflecting, Stretching Graphs
This site provides everything you need to know about translating graphs. Plenty of examples and charts and very easy to understand.
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...
CK-12 Foundation
Ck 12: Interactive Geometry: 2.10 Composite Transformation
See examples of transformations including a translation and a reflection.
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.
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...
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.
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...
Texas Instruments
Texas Instruments: Transforming Tangrams
The student will use the transformations - rotation, reflection, translation - to create common shapes from tangram pattern blocks
Oswego City School District
Regents Exam Prep Center: Transformations With Functions
This tutorial looks at transformations and investigates how they determine relationships between functions.
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.
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.
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.
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...