CCSS.MATH.CONTENT.4.G.A.1: Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in two-dimensional figures.

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Closed Captioned Video: Geometry Applications: Angles and Planes

Closed Captioned Video: Geometry Applications: Angles and Planes

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.

Applications of Angles and Planes

Closed Captioned Video: Geometry Applications: Angles and Planes, 1

Closed Captioned Video: Geometry Applications: Angles and Planes, Segment 1: Introduction

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.

Applications of Angles and Planes

Closed Captioned Video: Geometry Applications: Angles and Planes, 2

Closed Captioned Video: Geometry Applications: Angles and Planes, Segment 2: Angles

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

Applications of Angles and Planes

Closed Captioned Video: Geometry Applications: Angles and Planes, 3

Closed Captioned Video: Geometry Applications: Angles and Planes, Segment 3: Planes

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.

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 and Perpendicular Lines

Definition--Angle Concepts--Acute Angle

Definition--Angle Concepts--Acute 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. Relationships among different types of angles are also defined.

Definition of an Angle

Definition | Angle Concepts | Adjacent Angles

This is a collection of definitions related to Angles. 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.

Definition of an Angle

Definition--Angle Concepts--Alternate Exterior Angles

Definition--Angle Concepts--Alternate 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. Relationships among different types of angles are also defined.

Definition of an Angle

Definition--Angle Concepts--Alternate Interior Angles

Definition--Angle Concepts--Alternate 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. Relationships among different types of angles are also defined.

Definition of an Angle

Definition--Angle Concepts--Angle

Definition--Angle Concepts--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. Relationships among different types of angles are also defined.

Definition of an Angle

Definition--Angle Concepts--Angle Bisector

Definition--Angle Concepts--Angle 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. Relationships among different types of angles are also defined.

Definition of an Angle

Definition--Angle Concepts--Angle Measure

Definition--Angle Concepts--Angle 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. Relationships among different types of angles are also defined.

Definition of an Angle

Definition--Angle Concepts--Angle Vertex

Definition--Angle Concepts--Angle 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. Relationships among different types of angles are also defined.

Definition of an Angle

Definition--Angle Concepts--Central Angle

Definition--Angle Concepts--Central 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. Relationships among different types of angles are also defined.

Definition of an Angle

Definition--Angle Concepts--Circumscribed Angle

Definition--Angle Concepts--Circumscribed 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. Relationships among different types of angles are also defined.

Definition of an Angle

Definition--Angle Concepts--Complementary Angle

Definition--Angle Concepts--Complementary 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. Relationships among different types of angles are also defined.

Definition of an Angle

Definition--Angle Concepts--Congruent Angles

Definition--Angle Concepts--Congruent 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. Relationships among different types of angles are also defined.

Definition of an Angle

Definition--Angle Concepts--Corresponding Angles

Definition | Angle Concepts | Corresponding Angles

This is a collection of definitions related to Angles. 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.

Definition of an Angle

Definition--Angle Concepts--Exterior Angle

Definition--Angle Concepts--Exterior 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. Relationships among different types of angles are also defined.

Definition of an Angle

Definition--Angle Concepts--Inscribed Angle

Definition--Angle Concepts--Inscribed 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. Relationships among different types of angles are also defined.

Definition of an Angle