Title  Description  Thumbnail Image 

Activity Guide: Building a Scale Model of Himeji Castle 
This handson 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. 

Closed Captioned Video: Geometry Applications: Angles and Planes 
DescriptionIn this program we explore the properties of angles and planes. We do this in the context of two realworld 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. 

Closed Captioned Video: Geometry Applications: Angles and Planes, Segment 1: Introduction 
DescriptionThe 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. In studying the Earth’s orbit it is important to know that the Earth’s axis of rotation is at an angle relative to the ecliptic. 

Closed Captioned Video: Geometry Applications: Angles and Planes, Segment 2: Angles 
DescriptionHimeji castle in Japan is a marvel of architecture and a startling example of geometry and military science. The castle was used to protect samurai armies from invading forces, and the use of acute, obtuse, and right angles as part of the defense structure provide many opportunities for exploring the nature of geometric angles. 

Closed Captioned Video: Geometry Applications: Angles and Planes, Segment 3: Planes 
DescriptionIn 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. A Video Transcript is available for this tutorial. 

Collections in a Box: Parallel and Perpendicular Lines 
This cheat sheet gathers together the resources on the topic of parallel and perpendicular lines. See the descriptions and links below. Each link takes you to a collection of resources around that topic. The middle column indicates the number of resources available and the third column takes you to page on Media4Math where those resources can be found. 

DefinitionAngle ConceptsAcute Angle 
DefinitionAngle ConceptsAcute AngleThis is a collection of definitions related to angles and related concepts. This includes general definitions for angles, angle measures, and angle properties, as well as specific angle types. Relationships among different types of angles are also defined. 

DefinitionAngle ConceptsAdjacent Angles 
DefinitionAngle ConceptsAdjacent AnglesThis is a collection of definitions related to angles and related concepts. This includes general definitions for angles, angle measures, and angle properties, as well as specific angle types. Relationships among different types of angles are also defined. 

DefinitionAngle ConceptsAlternate Exterior Angles 
DefinitionAngle ConceptsAlternate Exterior AnglesThis is a collection of definitions related to angles and related concepts. This includes general definitions for angles, angle measures, and angle properties, as well as specific angle types. Relationships among different types of angles are also defined. 

DefinitionAngle ConceptsAlternate Interior Angles 
DefinitionAngle ConceptsAlternate Interior AnglesThis is a collection of definitions related to angles and related concepts. This includes general definitions for angles, angle measures, and angle properties, as well as specific angle types. Relationships among different types of angles are also defined. 

DefinitionAngle ConceptsAngle 
DefinitionAngle ConceptsAngleThis is a collection of definitions related to angles and related concepts. This includes general definitions for angles, angle measures, and angle properties, as well as specific angle types. Relationships among different types of angles are also defined. 

DefinitionAngle ConceptsAngle Bisector 
DefinitionAngle ConceptsAngle BisectorThis is a collection of definitions related to angles and related concepts. This includes general definitions for angles, angle measures, and angle properties, as well as specific angle types. Relationships among different types of angles are also defined. 

DefinitionAngle ConceptsAngle Measure 
DefinitionAngle ConceptsAngle MeasureThis is a collection of definitions related to angles and related concepts. This includes general definitions for angles, angle measures, and angle properties, as well as specific angle types. Relationships among different types of angles are also defined. 

DefinitionAngle ConceptsAngle Vertex 
DefinitionAngle ConceptsAngle VertexThis is a collection of definitions related to angles and related concepts. This includes general definitions for angles, angle measures, and angle properties, as well as specific angle types. Relationships among different types of angles are also defined. 

DefinitionAngle ConceptsCentral Angle 
DefinitionAngle ConceptsCentral AngleThis is a collection of definitions related to angles and related concepts. This includes general definitions for angles, angle measures, and angle properties, as well as specific angle types. Relationships among different types of angles are also defined. 

DefinitionAngle ConceptsCircumscribed Angle 
DefinitionAngle ConceptsCircumscribed AngleThis is a collection of definitions related to angles and related concepts. This includes general definitions for angles, angle measures, and angle properties, as well as specific angle types. Relationships among different types of angles are also defined. 

DefinitionAngle ConceptsComplementary Angle 
DefinitionAngle ConceptsComplementary AngleThis is a collection of definitions related to angles and related concepts. This includes general definitions for angles, angle measures, and angle properties, as well as specific angle types. Relationships among different types of angles are also defined. 

DefinitionAngle ConceptsCongruent Angles 
DefinitionAngle ConceptsCongruent AnglesThis is a collection of definitions related to angles and related concepts. This includes general definitions for angles, angle measures, and angle properties, as well as specific angle types. Relationships among different types of angles are also defined. 

DefinitionAngle ConceptsCorresponding Angles 
DefinitionAngle ConceptsCorresponding AnglesThis is a collection of definitions related to angles and related concepts. This includes general definitions for angles, angle measures, and angle properties, as well as specific angle types. Relationships among different types of angles are also defined. 

DefinitionAngle ConceptsExterior Angle 
DefinitionAngle ConceptsExterior AngleThis is a collection of definitions related to angles and related concepts. This includes general definitions for angles, angle measures, and angle properties, as well as specific angle types. Relationships among different types of angles are also defined. 