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 Reflections and Equilateral Triangles
Given an equilateral triangle, students are asked to explore its symmetries using rigid transformations of the plane. Aligns with G-CO.B.
Khan Academy
Khan Academy: Reflect Points
In this exercise, students practice performing reflections on a coordinate plane. Students receive immediate feedback and have the opportunity to watch a video, get hints, or try questions repeatedly.
CK-12 Foundation
Ck 12: Geometry: Composition of Transformations Study Guide
This study guide on the composition of transformations covers some vocabulary terms and different types of these compositions. It is available for download with free registration.
Khan Academy
Khan Academy: Practice: Reflect Points
In this set of questions, students practice using an interactive tool to reflect images on a Cartesian grid. Includes hints.
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.
University of South Florida
Fcat: Reflection: Teacher Notes
Students use the coordinate plane to investigate how reflections affect geometric shapes. Can be used by the student, but is also a great lesson plan idea for teachers.
National Council of Teachers of Mathematics
The Math Forum: Putt Putt Golf in the Math Classroom
Putt-Putt golf can be a great tool in helping students understand angles and their reflections. Here a teacher demonstrates the "Course," set up in his classroom to assist in explaining to students how to use geometry and angles in...
Oswego City School District
Regents Exam Prep Center: Intuitive Notion of Line Symmetry and Plane Symmetry
Definitions are provided line of symmetry, line symmetry, and plane symmetry, and several nice examples are provided that illustrate these definitions.
Khan Academy
Khan Academy: Congruence and Transformations
Given a pair of figures in the coordinate plane, try to map one onto the other and determine whether they are congruent. Includes examples of glide reflections. Students receive immediate feedback and have the opportunity to try...
Varsity Tutors
Varsity Tutors: Hotmath: Similar Figures
Find a clear explanation of similar figures. Discusses how they can be transformed through a sequence of rotations, reflections, translations, and dilations. Explanations are supported with illustrated examples.
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,...
Texas Instruments
Texas Instruments: Flipping Over the Coordinate Plane
In this activity, students review basic geometry vocabulary while investigating reflections on a coordinate grid.
Texas Instruments
Texas Instruments: Reflecting a Triangle in the Coordinate Plane
In this activity, students use the drawing and measurement tools of Cabri Jr. to blend coordinate geometry with drawing tools. They visualize symmetry and reflect a point across the y-axis.
Houghton Mifflin Harcourt
Holt, Rinehart and Winston: Homework Help Independent Practice: Transformations
Get independent practice working with transformations. Each incorrect response gets a text box explanation and another try. Correct responses are confirmed.
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...
Analyze Math
Analyze Math: Reflection Across a Line
Reflect any point, line segment, triangle, or any other figure over one or two lines using this dynamic applet. Points and lines are entered by point-and-click rather than by typing equations or ordered pairs. A very neat exercise to...
Oswego City School District
Regents Exam Prep Center: Reflection in a Line
This site gives some examples of line reflection transformations. Includes coordinate graphs to show reflections of lines and shapes.
Annenberg Foundation
Annenberg Learner: Quilts
Copy a quilt block made of 16 squares. Each block will have one of the four symmetry types: H, M, B, or S and you choose which you think it is.
University of Regina (Canada)
University of Regina: Math Central: Mathematics Glossary
This site contains the definitions for many geometric terms including transformations.
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.
National Council of Teachers of Mathematics
Nctm: Figure This: Upside Down (Pdf)
What lowercase letters read the same both upside down and right side up? If you have the answer, then you can handle this geometric symmetry math challenge. A one-page activity from the NTCM Math Challenge for Families collection....
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...
Math Is Fun
Math Is Fun: Reflection
Students learn about reflection. An activity, examples, tricks, and a definition are included.
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