Title  Description  Thumbnail Image  Curriculum Topics 

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. 
Applications of Angles and Planes  
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. 
Applications of Angles and Planes  
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. 
Applications of Angles and Planes  
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. 
Applications of Angles and Planes  
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. 
Applications of Angles and Planes  
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. 
Geometric Constructions with Points and Lines, Parallel Lines, Perpendicular Lines  
DefinitionAngle ConceptsAcute Angle 
This 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. 
Definition of an Angle  
DefinitionAngle ConceptsAdjacent Angles 
Adjacent AnglesWatch this video to explore the properties of angles, as well as constructing angles using the Desmos geometry tools. (The video transcript is also available.)

Definition of an Angle  
DefinitionAngle ConceptsAlternate Exterior Angles 
This 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. 
Definition of an Angle  
DefinitionAngle ConceptsAlternate Interior Angles 
This 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. 
Definition of an Angle  
DefinitionAngle ConceptsAngle 
This 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. 
Definition of an Angle  
DefinitionAngle ConceptsAngle Bisector 
This 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. 
Definition of an Angle  
DefinitionAngle ConceptsAngle Measure 
This 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. 
Definition of an Angle  
DefinitionAngle ConceptsAngle Vertex 
This 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. 
Definition of an Angle  
DefinitionAngle ConceptsCentral Angle 
This 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. 
Definition of an Angle  
DefinitionAngle ConceptsCircumscribed Angle 
This 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. 
Definition of an Angle  
DefinitionAngle ConceptsComplementary Angle 
This 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. 
Definition of an Angle  
DefinitionAngle ConceptsCongruent Angles 
This 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. 
Definition of an Angle  
DefinitionAngle ConceptsCorresponding Angles 
This 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. 
Definition of an Angle  
DefinitionAngle ConceptsExterior Angle 
This 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. 
Definition of an Angle  
DefinitionAngle ConceptsInscribed Angle 
This 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. 
Definition of an Angle  
DefinitionAngle ConceptsObtuse Angle 
This 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. 
Definition of an Angle  
DefinitionAngle ConceptsOpposite Interior Angles 
This 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. 
Definition of an Angle  
DefinitionAngle ConceptsReflex Angle 
This 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. 
Definition of an Angle  
DefinitionAngle ConceptsRight Angle 
This 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. 
Definition of an Angle 