Congruent Triangles

Jason Wofsey, Nov 20, 2017

Table of Contents

  1. Isometric Transformations and Congruence
    1. Translation
    2. Reflection
    3. Rotation
    4. Isometry Check 1
    5. Isometry Check 2
    6. Isometry Check 3
    7. Animation 225
  2. Congruent Triangles
    1. Noncongruent Triangles Activity
    2. SAS: Dynamic Proof!
    3. SSS: Dynamic Proof!
    4. SSS: Dynamically Illustrated
    5. ASA Theorem?
    6. Exploring SSA
    7. Is "SSA" Legit? What Do You Think?
    8. Animation 136
    9. Animation 137
    10. Animation 138
    11. Isosceles Triangle: Quick Discovery
    12. A Special Triangle & Its Properties (I)
    13. Converse of IST (V1)
    14. HL: Hypotenuse-Leg Action!
  3. Points of Concurrency
    1. Orthocenter
    2. Centroid
    3. Circumcenter
    4. Circumcenter & Circumcircle Action!
    5. Incenter
    6. Incenter & Incircle Action!
    7. Points of Concurrency: Investigation
    8. Angle Bisector Proof
    9. Perpendicular Bisector Proof

1.

Isometric Transformations and Congruence

  • 1. Translation
  • 2. Reflection
  • 3. Rotation
  • 4. Isometry Check 1
  • 5. Isometry Check 2
  • 6. Isometry Check 3
  • 7. Animation 225

1.1.

Translation

– Jason Wofsey

1.2.

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1.3.

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1.4.

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1.5.

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1.6.

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1.7.

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2.

Congruent Triangles

  • 1. Noncongruent Triangles Activity
  • 2. SAS: Dynamic Proof!
  • 3. SSS: Dynamic Proof!
  • 4. SSS: Dynamically Illustrated
  • 5. ASA Theorem?
  • 6. Exploring SSA
  • 7. Is "SSA" Legit? What Do You Think?
  • 8. Animation 136
  • 9. Animation 137
  • 10. Animation 138
  • 11. Isosceles Triangle: Quick Discovery
  • 12. A Special Triangle & Its Properties (I)
  • 13. Converse of IST (V1)
  • 14. HL: Hypotenuse-Leg Action!

2.1.

Noncongruent Triangles Activity

See how many triangles you can make given each of the parts listed.
Noncongruent Triangles Activity
– Jason Wofsey

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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2.7.

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2.8.

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2.9.

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2.10.

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2.11.

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2.12.

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2.13.

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2.14.

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3.

Points of Concurrency

  • 1. Orthocenter
  • 2. Centroid
  • 3. Circumcenter
  • 4. Circumcenter & Circumcircle Action!
  • 5. Incenter
  • 6. Incenter & Incircle Action!
  • 7. Points of Concurrency: Investigation
  • 8. Angle Bisector Proof
  • 9. Perpendicular Bisector Proof

3.1.

Orthocenter

Orthocenter
– Jason Wofsey

3.2.

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3.3.

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3.4.

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3.5.

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3.6.

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3.7.

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3.8.

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3.9.

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Information