Circles (Theorems)

Tabla de contenidos

• Circle Vocabulary

  • Circle Terminology
  • Circle Tangent-Types Illustrator
  • Similar Circles?
  • Congruent Circles: Definition

• Tangents

  • Properties of Tangents Drawn to Circles (A)
  • Properties of Tangents Drawn to Circles (B)
  • Properties of Tangents
  • Tangents to Circles: Investigation
  • Int+Ext Tangent Action!
  • GoGeometry Action 6!

• Inscribed Angle Theorems & Corollaries

  • Inscribed Angle Theorem (V1)
  • Inscribed Angle Theorem: Take 2!
  • Inscribed Angle Theorems: Take 3!
  • Proof Exercise: Inscribed Angle Theorem (Case 1)
  • Proof Exercise: Inscribed Angle Theorem (Case 2)
  • Proof Exercise: Inscribed Angle Theorem (Case 3)
  • Where to Sit? (I)
  • Where to Sit (II)?
  • Inscribed Angle Theorem: Corollary 1
  • Inscribed Angle Theorem Dance: Take 2!
  • Animation 20 (Inscribed Angle Dance!)
  • Thales' Theorem (VA)
  • Thales' Theorem (VB)
  • Inscribed Angle Intercepts Semicircle
  • Cyclic Quadrilaterals (IAT: Corollary 3)
  • Inscribed Angle Theorems: Take 4!
  • Geometric Mean Illustration

• Theorems Involving Chords

  • Congruent Chords: Quick Investigation
  • Congruent Chords (I)
  • Diameters & Chords I (VA)
  • Diameters & Chords I (VB)
  • Angle Formed by 2 Chords (I)
  • Angle Formed by 2 Chords (II)
  • Angle Formed by Chord & Tangent (I)
  • Angle Formed by Chord & Tangent (II)
  • Crossing Chords: Proof Hint
  • Congruent Chords Action (A)
  • Equidistant Chord Action
  • Butterfly Theorem Action!
  • Cut-The-Knot Action (2) !!!
  • GoGeometry Action 1!
  • GoGeometry Action 2!
  • GoGeometry Action 3!
  • GoGeometry Action 5!
  • GoGeometry Action 8!
  • Cut-The-Knot Action (6)!
  • GoGeometry Action 9!
  • GoGeometry Action 15!
  • Cut-The-Knot Action 7!
  • GoGeometry Action 19!

• Secant & Tangent Theorems

  • Angles from Secants and Tangents (V1)
  • Angle From 2 Secants (V2)
  • Secants: Proof Hint
  • Not Your Everyday Chord & Tangent Theorem
  • GoGeometry Action 4!
  • GoGeometry Action 13!
  • GoGeometry Action 16!
  • Thales Action + Sequel = GoGeometry Action 25!
  • GoGeometry Action 26!

• Older (Earlier) Applets

  • Inscribed Angle Theorem (Proof without Words)
  • Inscribed Angle Theorem (Corollary 1) (Proof without Words)
  • Inscribed Angle Theorem (Corollary 2) (Proof without Words)
  • Inscribed Angle Theorem (Corollary 3) Cyclic Quadrilaterals
  • Angle formed by a Secant & Tangent: What Do You See? (V1)
  • Angle Formed by a Secant & Tangent: What Do You See? (V2)
  • Angle Formed by 2 Tangents (V2): What Do You See?
  • Cyclic Quadrilaterals
  • Congruent Chords in the Same Circle
  • Inscribed Angle Theorem (Intro): What Do You See Here?
  • Inscribed Angle Action !!!
  • Inscribed Angle Action! (2 Theorems)
  • Angle Formed by 2 Chords (V1): What Do You See?
  • Angle Formed by 2 Chords (V2): What Do You See?
  • Chords Equidistant from Circle's Center
  • Crossing Chords Property & Proof Start
  • Crossing Chords Property & Proof Start (II)