In this program we explore the properties of angles and planes. We do this in the context of two real-world applications. In the first, we explore Japan's Himeji Castle and in the process learn about different types of angles and how they're used in a defensive fortification.

The observatory in Arecibo, Puerto Rico provides astronomers insights into the structure of our solar system. Geometrically, the solar system relies on the plane known as the ecliptic.

Himeji castle in Japan is a marvel of architecture and a startling example of geometry and military science.

In the Canadian Rockies, the Burgess Shale fossils provide a window to prehistoric Earth. Fossil layers are folded into sedimentary rocks. And sedimentary rocks are examples of parallel planes. This segment uses the properties of planes to analyze fossils.

This is the Teacher's Guide that accompanies Geometry Applications: Angles and Planes.

During Medieval times, castles were fortresses, mini-cities where the royalty lived, and symbols of power. Most castles were tall, imposing structures. But why were they so tall? Was it just for symbolic reasons, to allow a king to show his center of power and influence?

This hands-on activity is a companion to the video segment from the Geometry Applications: Angles and Planes video. In particular, it supports the segment on the architecture of Himeji Castle.

In this Slide Show, learn about the geometry of castle construction.

This set of tutorials provides 48 examples of angles and how to identify angles by their measurement. NOTE: The download is a PPT file.

This is part of a collection of clip art images showing different types of angles. Each type of angle measure includes a labeled and unlabeled version.

This is part of a collection of clip art images showing different types of angles. Each type of angle measure includes a labeled and unlabeled version.

This is part of a collection of clip art images showing different types of angles. Each type of angle measure includes a labeled and unlabeled version.

This is part of a collection of clip art images showing different types of angles. Each type of angle measure includes a labeled and unlabeled version.

This is part of a collection of clip art images showing different types of angles. Each type of angle measure includes a labeled and unlabeled version.

This is part of a collection of clip art images showing different types of angles. Each type of angle measure includes a labeled and unlabeled version.

This is part of a collection of clip art images showing different types of angles. Each type of angle measure includes a labeled and unlabeled version.

This is part of a collection of clip art images showing different types of angles. Each type of angle measure includes a labeled and unlabeled version.

This is part of a collection of clip art images showing different types of angles. Each type of angle measure includes a labeled and unlabeled version.

This is part of a collection of clip art images showing different types of angles. Each type of angle measure includes a labeled and unlabeled version.

This is part of a collection of clip art images showing different types of angles. Each type of angle measure includes a labeled and unlabeled version.

This is part of a collection of clip art images showing different types of angles. Each type of angle measure includes a labeled and unlabeled version.

This is part of a collection of clip art images showing different types of angles. Each type of angle measure includes a labeled and unlabeled version.