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...
Cornell University
Cornell University: Straightness and Symmetry
This site, part of a planned Geometry textbook, involves real-world applications with symmetry and reflection using pictures and graphs.
Wolfram Research
Wolfram Math World: Reflection
This site defines reflection, separates reflection into two categories of amphichiral and chiral. The site also gives formulas used in reflective symmetry including point-plane distance, position of reflected points and has links to...
CK-12 Foundation
Ck 12: Geometry: Symmetry and Tessellations Study Guide
[Free Registration/Login may be required to access all resource tools.] Provides a brief overview of the different types of symmetry and of how to tessellate a shape.
PBS
Pbs Learning Media: Math + Arts: Symmetry, Reflective Drawing, and Totem Poles
In this lesson, students will create a colored pencil drawing utilizing symmetry and forms characteristic of Northwest Coast art and write a critique of their work. Media resources and teacher materials are included.
Primary Resources
Primary Resources: Patterns and Symmetry
Teachers, here's a great resource for worksheets and presentations about symmetry. Includes PowerPoint and smartboard presentations.
National Council of Teachers of Mathematics
The Math Forum: Line Symmetry
This site from The Math Forum is a great site if you are looking for activities to engage your students in learning about line symmetry. Peruse this collection of activities for one or two or four that would be right for your students....
Shodor Education Foundation
Shodor Interactivate: Lesson: Tessellations Geometry and Symmetry
This lesson plan deals with tessellations and their geometric concepts. Upper elementary and middle school students will also explore polygons, symmetry, analyze patterns and explore the role of mathematics in nature and culture.
Khan Academy
Khan Academy: Symmetry of 2 D Shapes
Analyze various shapes according to their reflective and rotational symmetries. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
National Council of Teachers of Mathematics
Nctm: Illuminations: Mirror Tool
This interactive tool helps student visualize symmetry. The exploration provided by the site helps students explore reflective symmetry. [Requires Java.]
Lawrence Hall of Science
The Math Page: Topics in Pre Calculus: Symmetry
Here is a site that clearly and thoroughly explains the symmetry of even and odd functions and how to test for these types of symmetry. There are example problems solved, problems for the student to attempt, and answers to the student...
Smithsonian Institution
Smithsonian Learning Lab: Turn About's Fair Play! Mirrors and How They Reflect
Teachers can download this teaching package that looks at light and symmetry through the use of mirrors. Students will enjoy the nine mirror challenges, along with the hands-on activities described in the lessons. Teachers will...
Purple Math
Purplemath: Symmetry About an Axis
Explains symmetry about a line, using animations to illustrate the "rotation" or "reflection" involved in this type of symmetry.
CK-12 Foundation
Ck 12: Geometry: Lines of Symmetry
[Free Registration/Login may be required to access all resource tools.] Identify line, bilateral, and rotational symmetry.
Khan Academy
Khan Academy: Symmetry of 2 D Shapes
Analyze various shapes according to their reflective and rotational symmetries.
Mocomi & Anibrain Digital Technologies
Mocomi: What Is Symmetry in Math
Defines symmetry, line of symmetry, point symmetry, and gives examples.
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.
Windstream
Ojk's Precalculus Study Page: Reflections and Symmetry
An introduction to the various types of symmetries that can occur in the graphs of functions. Uses vertical, horizontal, and oblique reflections as a means of recognizing symmetries.
Other
Symmetry in Architecture
Provides real world examples of symmetry in architecture, including pictures of each kind of symmetry, examples, acknowledgements, and a bibliography.
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.
Rice University
Rice University: Cynthia Lanius: Designer Fractions Symmetry
This site takes a look at symmetry, with a special focus on line symmetry. Here you will find a definition, as well as several examples and real-world applications.
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.
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.
Maths Challenge
Maths challenge.net: Lines of Symmetry
A "one star" geometry problem that requires finding the visual pattern and applying logic with pattern recognition to find the lines of reflective symmetry.