Circles

Tim Brzezinski, Sunita Jadhav, Jul 26, 2021

Circle

Table of Contents

  1. Proving All Circles Similar
    1. Congruent Circles: Definition
    2. Animation 89
    3. Similar Circles?
    4. Sphere as a LOCUS: Quick Exploration and Prompt
  2. Circle Theorems
    1. Circle Terminology
    2. Circle Terminology (V2)
    3. Circle Tangent-Types Illustrator
    4. Properties of Tangents Drawn to Circles (A)
    5. Properties of Tangents Drawn to Circles (B)
    6. Animation 3
    7. Constructing Tangents: Ex. 12
    8. Tangents to Circles: Investigation
    9. Where to Sit? (I)
    10. Where to Sit (II)?
    11. Inscribed Angle Theorem (V1)
    12. Animation 12
    13. Inscribed Angle Theorem: Take 2!
    14. Inscribed Angle Theorems: Take 3!
    15. Inscribed Angle Theorem: Take 4!
    16. Inscribed Angles Investigation (Revamped)
    17. Proof Exercise: Inscribed Angle Theorem (Case 1)
    18. Proof Exercise: Inscribed Angle Theorem (Case 2)
    19. Proof Exercise: Inscribed Angle Theorem (Case 3)
    20. Inscribed Angle Theorems: Take 4!
    21. Inscribed Angle Theorem: Corollary 1
    22. Inscribed Angle Theorem Dance: Take 2!
    23. Animation 20 (Inscribed Angle Dance!)
    24. Find that Angle! (GoGeometry Action 144)
    25. Thales' Theorem (VA)
    26. Animation 116
    27. Thales' Theorem (VB)
    28. Animation 54
    29. Angle Formed by Chord & Tangent (I)
    30. Animation 50
    31. Angle Formed by Chord & Tangent (II)
    32. Animation 78
    33. Congruent Chords: Quick Investigation
    34. Congruent Chords (I)
    35. Animation 76
    36. Diameters & Chords I (VA)
    37. Diameters & Chords I (VB)
    38. Animation 24
    39. Congruent Chords Action (A)
    40. Animation 96
    41. Equidistant Chord Action
    42. Animation 101
    43. Angle Formed by 2 Chords (I)
    44. Animation 32
    45. Angle Formed by 2 Chords (II)
    46. Animation 33
    47. Angles from Secants and Tangents (V1)
    48. Animation 61
    49. Angle From 2 Secants (V2)
    50. Animation 45
    51. Crossing Chords: Proof Hint
    52. Animation 79
    53. Crossing Chords Property & Proof Start
    54. Crossing Chords Property & Proof Start (II)
    55. Secants: Proof Hint
    56. Animation 88
    57. Animation 92
  3. Inscribing + Circumscribing Circles; Cyclic Quads
    1. Circumcircle: Construction Exercise (VA)
    2. Circumcircle: Construction Exercise (VB)
    3. Circumcircle: Construction Exercise (VC)
    4. Making Perpendicular Bisectors: Ex. 9
    5. Incircle: Construction Exercise (VA)
    6. Incircle: Construction Exercise (VB)
    7. Constructing Angle Bisectors: Ex. 11
    8. Cyclic Quadrilaterals (IAT: Corollary 3)
    9. Animation 43
    10. Cyclic Quadrilateral: Proof Hint
    11. Cyclic Quadrilateral: Quick Warm Up (GoGeometry Action 149!)
    12. Where in NYC? (VA)
    13. Where in NYC? (VB)
    14. Where in NYC? (VC)
  4. Constructing Tangents to Circles
    1. Tangent to Circle: Construction 1
    2. Tangent to Circle: Construction 2
    3. Geometric Mean Illustration
    4. Animation 211
  5. Arc Length, Sector Area, Radians
    1. Radius Unwrapper v2.0
    2. 1 Radian: Clear Definition
    3. Movie: Radians to Revs
    4. Arc length: Quick Investigation
    5. Area of a Sector
    6. Arc Length and Area of a Sector (V1)
    7. Arc Length and Area of a Sector (V2)
    8. Classic Cow Grazing Problem
  6. Other Geometry Resources
    1. Geometry Resources

Information