Activity
National Council of Teachers of Mathematics

Nctm: Illuminations: Composing Reflections

For Students 6th - 8th Standards
Examine the result of reflecting a shape successively through two different lines.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: Reflections, Rotations, and Translations

For Teachers 8th Standards
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...
Activity
Analyze Math

Analyze Math: Reflection Across a Line

For Students 9th - 10th Standards
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...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: 8.g Congruent Segments

For Teachers 8th Standards
Eighth graders are shown two line segments that are the same length and must describe a sequence of reflections that exhibits a congruence between them. Aligns with 8.G.A.2.
Unit Plan
Mathigon

Mathigon: Geometry: Rigid Transformations

For Students 9th - 10th Standards
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...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: 8.g Reflecting a Rectangle Over a Diagonal

For Teachers 8th Standards
In this task, 8th graders are presented with several rectangles that have diagonal lines through them and are placed on grids. They are asked to draw reflections and to discuss rectangles that are squares. Aligns with 8.G.A.
Interactive
Shodor Education Foundation

Shodor Interactivate: Transmographer 2

For Students 9th - 10th Standards
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.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Co Origami Equilateral Triangle

For Teachers 9th - 10th Standards
The purpose of this task is to explore reflections in the context of paper folding. Each fold is associated with a line of reflection and understanding each step in the construction requires careful analysis of angles and of the...

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