Proofs in Plane Geometry Project

Lew W. S., Jun 26, 2016

This a collaborative effort to design interactive dynamic geometry exercises which can scaffold student learning of proofs in plane geometry. Members of the team are : Thong Chee Hing, Woo Huey Ming and Vincent Lew Suggestions are most welcome.

Table of Contents

  1. Team's Projects
    1. Basic Proofs In Plane Geometry -Example 6 (Scaffolded)
    2. Angle between line AB and radius of circle (5 Jul Update)
    3. External Tangents to a Circle
    4. Angle between line AB and radius of the circle (Tangent Radius)
    5. Geometry Exercise (Basic) Problem 2 : Application of Tangent Radius Property
    6. Geometry Exercise (Basic) Problem 1 : Application of Tangent Radius Property
  2. Other's Works
    1. Relationships of segment lengths from the intersection of secants, chords, and tangents of a circle
    2. Area of kite

1.

Team's Projects

  • 1. Basic Proofs In Plane Geometry -Example 6 (Scaffolded)
  • 2. Angle between line AB and radius of circle (5 Jul Update)
  • 3. External Tangents to a Circle
  • 4. Angle between line AB and radius of the circle (Tangent Radius)
  • 5. Geometry Exercise (Basic) Problem 2 : Application of Tangent Radius Property
  • 6. Geometry Exercise (Basic) Problem 1 : Application of Tangent Radius Property

1.1.

Basic Proofs In Plane Geometry -Example 6 (Scaffolded)

Use this activity to aid your learning of basic proofs in plane geometry (up to and including angle properties of polygons and circles) [br]Submit your proofs with step by step justifications on pen and paper to your instructor.
– Lew W. S.

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1.6.

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2.

Other's Works

Collection of others' works

  • 1. Relationships of segment lengths from the intersection of secants, chords, and tangents of a circle
  • 2. Area of kite

2.1.

Relationships of segment lengths from the intersection of secants, chords, and tangents of a circle

Drag the Steps slider to view the proofs of the relationship of segment lengths when secant, chords, or tangents intersect a circle. Drag point C inside or outside the circle to see what happens.
Matt James[br]Lincoln Southwest High School[br]Lincoln, NE[br]mjames2@lps.org
– Matt James

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