Angle Relationships and Polygons

Paige Williamson, Mar 17, 2017

Table of Contents

  1. Prior Knowledge
    1. Explore Sum of the Interior Angles
    2. Explore Sum of Angles of Quadrilateral
    3. Explore Sum of the Interior Angles of a Quadrilateral
  2. Exploring Polygons
    1. Definition of a Regular Polygon
    2. Exploring Interior Angles
    3. Sum of the Interior Angles of a Pentagon
    4. Explore Exterior Angles of a Quadrilateral
    5. Exterior Angles of Polygons
    6. Sum of the Exterior Angles of a Pentagon

1.

Prior Knowledge

In this chapter, explore and extend on the information you already know about triangles and quadrilaterals.

  • 1. Explore Sum of the Interior Angles
  • 2. Explore Sum of Angles of Quadrilateral
  • 3. Explore Sum of the Interior Angles of a Quadrilateral

1.1.

Explore Sum of the Interior Angles

Drag each point to see how the sum of the interior angles is effected.
sum of interior angles
– Paige Williamson, Michael Borcherds, Tom Owsiak

1.2.

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1.3.

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2.

Exploring Polygons

In this chapter, explore how angle relationships are formed in regular polygons and see how it relates to prior knowledge.

  • 1. Definition of a Regular Polygon
  • 2. Exploring Interior Angles
  • 3. Sum of the Interior Angles of a Pentagon
  • 4. Explore Exterior Angles of a Quadrilateral
  • 5. Exterior Angles of Polygons
  • 6. Sum of the Exterior Angles of a Pentagon

2.1.

Definition of a Regular Polygon

What geometry adjective (about polygons) is dynamically being illustrated (for the case of a pentagon = a polygon with 5 sides?) [br][br]Feel free to move any 1 or more of the 3 points anywhere you'd like.
– Paige Williamson, Tim Brzezinski

2.2.

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2.3.

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2.4.

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2.5.

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2.6.

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Information