Geometry Fall

Gary Rubinstein, 16.09.2025

Inhaltsverzeichnis

  1. Constructions
    1. Construct An Equilateral Triangle
    2. Copy A Line Segment With A Collapsible Compass
    3. Construct An Angle Bisector
    4. Construct A Midpoint / Perpendicular Bisector
    5. Create A Triangle From Three Given Sides
    6. Perpendicular To A Line Through A Point On The Line
    7. Perpendicular To A Line Through A Point Not On The Line
    8. Copy An Angle
    9. Make Parallel Line
    10. I. 35
    11. I. 41
    12. I. 42
    13. Book I.43
    14. I. 44
    15. Construction I. 35
    16. Construction I. 42
    17. Construction I. 44
    18. Copy of Euclid Book I 47
    19. Congruent Triangles 6
    20. SAS: Dynamic Proof!
    21. pentagon
    22. Circle through 3 points IV. 5
    23. Construct Regular Pentagon Euclid IV 10
  2. Proofs Before Triangles
    1. Complimentary and Supplementary Angles
    2. Complementary and Supplementary Angles
    3. Complementary and Supplementary Angles
    4. Vertical Angles Theorem: Algebra Proof
    5. Vertical Angles and Linear Pairs
    6. Vertical Angles Theorem
    7. Midpoint
    8. Angle Bisector
    9. Angle and Segment Bisectors
  3. Congruent Triangles
    1. Congruent Triangles 1
    2. Congruent Triangles 2
    3. Congruent Triangles 3
    4. Congruent Triangles 4
    5. Congruent Triangles 5
    6. Congruent Triangles 6
    7. Congruent Triangles 7
    8. Kala - Exploring Congruent Triangles
    9. Congruent Triangles
    10. SSS Triangle Exploration
    11. SAS: Dynamic Proof!
    12. Animation 136
    13. Copy of Kala - Exploring Congruent Triangles
    14. Kala - Exploring Congruent Triangles SSS ASA SAS SSA

1.

Constructions

  • 1. Construct An Equilateral Triangle
  • 2. Copy A Line Segment With A Collapsible Compass
  • 3. Construct An Angle Bisector
  • 4. Construct A Midpoint / Perpendicular Bisector
  • 5. Create A Triangle From Three Given Sides
  • 6. Perpendicular To A Line Through A Point On The Line
  • 7. Perpendicular To A Line Through A Point Not On The Line
  • 8. Copy An Angle
  • 9. Make Parallel Line
  • 10. I. 35
  • 11. I. 41
  • 12. I. 42
  • 13. Book I.43
  • 14. I. 44
  • 15. Construction I. 35
  • 16. Construction I. 42
  • 17. Construction I. 44
  • 18. Copy of Euclid Book I 47
  • 19. Congruent Triangles 6
  • 20. SAS: Dynamic Proof!
  • 21. pentagon
  • 22. Circle through 3 points IV. 5
  • 23. Construct Regular Pentagon Euclid IV 10

1.1.

Construct An Equilateral Triangle

Euclid I.1
Use the tools to create an equilateral triangle with AB as one of the sides
– Gary Rubinstein

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1.14.

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1.15.

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1.16.

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1.17.

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1.20.

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1.21.

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2.

Proofs Before Triangles

  • 1. Complimentary and Supplementary Angles
  • 2. Complementary and Supplementary Angles
  • 3. Complementary and Supplementary Angles
  • 4. Vertical Angles Theorem: Algebra Proof
  • 5. Vertical Angles and Linear Pairs
  • 6. Vertical Angles Theorem
  • 7. Midpoint
  • 8. Angle Bisector
  • 9. Angle and Segment Bisectors

2.1.

Complimentary and Supplementary Angles

Drag the points and change the angles.
Complimentary and Supplementary Angles
– Tony Walsh

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3.

Congruent Triangles

  • 1. Congruent Triangles 1
  • 2. Congruent Triangles 2
  • 3. Congruent Triangles 3
  • 4. Congruent Triangles 4
  • 5. Congruent Triangles 5
  • 6. Congruent Triangles 6
  • 7. Congruent Triangles 7
  • 8. Kala - Exploring Congruent Triangles
  • 9. Congruent Triangles
  • 10. SSS Triangle Exploration
  • 11. SAS: Dynamic Proof!
  • 12. Animation 136
  • 13. Copy of Kala - Exploring Congruent Triangles
  • 14. Kala - Exploring Congruent Triangles SSS ASA SAS SSA

3.1.

Congruent Triangles 1

Anthony Or. [br]GeoGebra Institute of Hong Kong
– Anthony OR ęŸÆåæ—ę˜Ž

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3.10.

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3.11.

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3.12.

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3.13.

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3.14.

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