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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.
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.
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.
University of Cambridge
University of Cambridge: Nrich: Symmetry Challenge
Sharpen your logic, symmetry, and pattern recognition skills while working on this challenge. Solution included.
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.
Texas Instruments
Texas Instruments: Numb3 Rs: A Group of Symmetries
Based off of the hit television show NUMB3RS, this lesson has students examine a set of transformations to determine if certain properties (such as associativity and closure) exist for equilateral triangles. Students create tables of...
Math Is Fun
Math Is Fun: Point Symmetry
A definition and examples of point symmetry, as well as links to information on rotational symmetry, reflection symmetry, transformations, and rotation.
CK-12 Foundation
Ck 12: Interactive Geometry: 2.6 Reflection Symmetry
Explore reflection symmetry in some different shapes.
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.
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...
CK-12 Foundation
Ck 12: Elem Math: Identifying Lines of Symmetry in Various Shapes
[Free Registration/Login may be required to access all resource tools.] In this learning module, students are asked to identify where a line of symmetry should be and whether a 2D shape has a line of symmetry. Includes video...
Math Is Fun
Math Is Fun: Symmetry Artist
The learning activity explores symmetry. Students combine mathematics and art as they investigate reflection and rotation symmetry.
National Council of Teachers of Mathematics
The Math Forum: The Four Basic Symmetries
This is a site from the Math Forum that gives visual examples to show the differences between the four different kinds of symmetry. Examples are given along with links to additional information.
Wolfram Research
Wolfram Math World: Symmetry
This site provides a detailed explaination of symmetry and many links to related topics.
Math Graphs
Houghton Mifflin: Math Graphs: Symmetry 7 [Pdf]
The practice exercise examines origin symmetry. The graph is available in PDF format.
National Council of Teachers of Mathematics
The Math Forum: Multicultural Math Fair: Sonya's Symmetry
Straightforward activity designed to introduce young scholars to symmetry and reflection using MIRA mirrors. Includes two worksheets--instructions and activities are available in English and Spanish.
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.
Beacon Learning Center
Beacon Learning Center: Ask Hannah
This web lesson teaches students about symmetry in two-dimensional shapes.
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.
Science U
Science U: Isometries: Reflection
This site from Science U gives a good example of reflection of symmetry. It also gives some background information about reflection as well.
University of Cambridge
University of Cambridge: Nrich: Happy Halving
On this one page website expand your logic, symmetry and pattern recognition knowledge while working on this challenge. The solution is available to double check your solution.
The Math League
The Math League: Symmetric Figure
This tutorial features several examples of symmetric figures to explain how the line of symmetry works.
Math Graphs
Houghton Mifflin: Math Graphs: Symmetry 5 [Pdf]
The practice problem explores y-axis symmetry. The graph is available in PDF format.