In this module explore reflection and symmetry in the context of Leonardo Da Vinci's mirror writing. Many of Da Vinci's handwritten notes were written in reverse script that could only be read correctly in a mirror.

In this program we look at applications of transformations. We do this in the context of three real-world applications. In the first, we look at translations and rotations in the context of roller coaster rides. In the second example we look at translations in three-dimensional space in the context of cargo ships.

Roller coasters provide an ideal opportunity to explore translations and rotations. Displacement vectors are also introduced. A Video Transcript is available for this tutorial. Note: The download is Media4Math's guide to closed captioned videos.

Cargo ships transport tons of merchandise from one country to another and accounts for most of the global economy. Loading and unloading these ships requires a great deal of organization and provides an ideal example of three-dimensional translations. A Video Transcript is available for this tutorial.

The Gemini telescope in Hawaii is an example of architecture that moves. All observatories rotate in order to follow objects in the sky. This also provides an opportunity to explore rotations, reflections, and symmetry. A Video Transcript is available for this tutorial.

This is a collection of definitions related to coordinate systems and related topics. This includes general definitions for coordinate systems, as well as examples of specific coordinate systems and properties of those systems.

This is a collection of definitions related to coordinate systems and related topics. This includes general definitions for coordinate systems, as well as examples of specific coordinate systems and properties of those systems.

This is a collection of definitions related to coordinate systems and related topics. This includes general definitions for coordinate systems, as well as examples of specific coordinate systems and properties of those systems.

This is a collection of definitions related to coordinate systems and related topics. This includes general definitions for coordinate systems, as well as examples of specific coordinate systems and properties of those systems.

This is a collection of definitions related to coordinate systems and related topics. This includes general definitions for coordinate systems, as well as examples of specific coordinate systems and properties of those systems.

This is a collection of definitions related to coordinate systems and related topics. This includes general definitions for coordinate systems, as well as examples of specific coordinate systems and properties of those systems.

This is a collection of definitions related to coordinate systems and related topics. This includes general definitions for coordinate systems, as well as examples of specific coordinate systems and properties of those systems.

This is a collection of definitions related to coordinate systems and related topics. This includes general definitions for coordinate systems, as well as examples of specific coordinate systems and properties of those systems.

This is a collection of definitions related to coordinate systems and related topics. This includes general definitions for coordinate systems, as well as examples of specific coordinate systems and properties of those systems.

This is a collection of definitions related to coordinate systems and related topics. This includes general definitions for coordinate systems, as well as examples of specific coordinate systems and properties of those systems.

This is a collection of definitions related to coordinate systems and related topics. This includes general definitions for coordinate systems, as well as examples of specific coordinate systems and properties of those systems.

This is a collection of definitions related to coordinate systems and related topics. This includes general definitions for coordinate systems, as well as examples of specific coordinate systems and properties of those systems.

This is a collection of definitions related to coordinate systems and related topics. This includes general definitions for coordinate systems, as well as examples of specific coordinate systems and properties of those systems.

This is a collection of definitions related to coordinate systems and related topics. This includes general definitions for coordinate systems, as well as examples of specific coordinate systems and properties of those systems.

This is a collection of definitions related to coordinate systems and related topics. This includes general definitions for coordinate systems, as well as examples of specific coordinate systems and properties of those systems.

This is a collection of definitions related to coordinate systems and related topics. This includes general definitions for coordinate systems, as well as examples of specific coordinate systems and properties of those systems.

This is a collection of definitions related to coordinate systems and related topics. This includes general definitions for coordinate systems, as well as examples of specific coordinate systems and properties of those systems.

This is a collection of definitions related to coordinate systems and related topics. This includes general definitions for coordinate systems, as well as examples of specific coordinate systems and properties of those systems.

This is a collection of definitions related to coordinate systems and related topics. This includes general definitions for coordinate systems, as well as examples of specific coordinate systems and properties of those systems.

This is a collection of definitions related to coordinate systems and related topics. This includes general definitions for coordinate systems, as well as examples of specific coordinate systems and properties of those systems.