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National Council of Teachers of Mathematics
Nctm: Illuminations: Composing Reflections
Examine the result of reflecting a shape successively through two different lines.
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...
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...
Illustrative Mathematics
Illustrative Mathematics: 8.g Congruent Segments
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.
Mathigon
Mathigon: Geometry: Rigid Transformations
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...
Illustrative Mathematics
Illustrative Mathematics: 8.g Reflecting a Rectangle Over a Diagonal
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.
Shodor Education Foundation
Shodor Interactivate: Transmographer 2
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.
Illustrative Mathematics
Illustrative Mathematics: G Co Origami Equilateral Triangle
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...