Standard #: MAFS.912.G-CO.1.3 (Archived Standard)

This virtual manipulative can be used to demonstrate and explore the effect of translation, rotation, and/or reflection on a variety of plane figures. A series of transformations can be explored to result in a specified final image.

Students are asked to describe the rotations and reflections that carry a rectangle and a square onto itself.

Students are asked to describe the rotations and reflections that carry a parallelogram and rhombus onto itself.

Students are asked to describe the rotations and reflections that carry a trapezoid onto itself.

Students are asked to describe the rotations and reflections that carry a regular polygon onto itself.

This is an introductory lesson on regular polygon transformation for congruency using a hands-on approach.

This lesson guides students through the development of a formula to find the first angle of rotation of any regular polygon to map onto itself. Free rotation simulation tools such as GeoGebra, are used.

Students explore ways of applying, identifying, and describing reflection and rotation symmetry for both geometric and real-world objects, for them to develop a better understanding of symmetries in transformational geometry.

Students will apply simple transformations (rotation and reflection) to an equilateral triangle, then determine the result of the action of two successive transformations, eventually determining whether the action satisfies the commutative and associate properties.

Students will apply simple transformations (rotation and reflection) to an equilateral triangle, then determine the result of the action of two successive transformations, eventually determining whether the action satisfies the commutative and associate properties.

This task provides a concrete geometric setting in which to study rigid transformations of the plane.

Click "View Site" to open a full-screen version. The world contains many examples of figures with rotational symmetry. Some of these occur in art, others occur in nature. Knowledge of rotational symmetry can be helpful in understanding both the human and the natural world. In this tutorial, rotations that carry a regular polygon onto itself are explored and suggestions for teaching this topic are offered.

Students will investigate symmetry by rotating polygons 180 degrees about their center.

Students will see what happens when a figure is rotated about the origin -270 degrees. Having a foundation about right triangles is recommended before viewing this video.

This virtual manipulative can be used to demonstrate and explore the effect of translation, rotation, and/or reflection on a variety of plane figures. A series of transformations can be explored to result in a specified final image.

This task provides a concrete geometric setting in which to study rigid transformations of the plane.

Students will investigate symmetry by rotating polygons 180 degrees about their center.

Students will see what happens when a figure is rotated about the origin -270 degrees. Having a foundation about right triangles is recommended before viewing this video.

This task provides a concrete geometric setting in which to study rigid transformations of the plane.