Transformations

Jason Wofsey, Nov 21, 2016

Table of Contents

  1. Intro
    1. Translation
    2. Reflection
    3. Rotation
    4. Mystery Isometry 1
    5. Mystery Isometry 2
    6. Mystery Isometry 3
    7. Mystery Isometry 4
    8. Messing With Lisa
    9. Isometry Check 2
    10. Isometry Check 3
    11. Translation Construction
    12. Isometry Check 1
  2. Translations
    1. Translation_grid1
    2. Translation_grid2
    3. Translation_grid3
    4. Translation_rule1
    5. Translation_rule2
    6. Translation_vector1
    7. Translation Construction
  3. Reflections
    1. Reflection
    2. Exploring Reflections
    3. Glide Reflection Cats
    4. Reflection Grid 1
    5. Reflection Grid 2
    6. Reflection Grid 3
    7. Reflection Grid 4
    8. Reflection Grid 5
    9. Reflection over Y=X
    10. Reflection Combination 1
    11. Glide Reflection 1
    12. Reflection Line 1
    13. Reflection Line 2
    14. Reflection Line Construction
    15. Reflection Construction
    16. Glide Reflection 2
  4. Rotations
    1. Copy of Rotation
    2. Rotation Hexagon
    3. Rotation Isometry Proof
    4. Rotation Grid 1
    5. Rotation Grid 2
    6. Rotation Grid 3
    7. Rotation Origin 1
    8. Rotation Origin 2
    9. Rotation Triangle Grid 1
    10. Rotation Triangle Grid 2
    11. Rotation Construction 1
    12. Rotation Construction 2
    13. Rotation Construction 3
    14. Rotation Construction 4
    15. Rotation Center and Angle
  5. Composition of Isometries
    1. Isometry Puzzle 1
    2. Reflections Over Parallel Lines
    3. Reflection Across Intersecting Lines
  6. 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

1.

Intro

  • 1. Translation
  • 2. Reflection
  • 3. Rotation
  • 4. Mystery Isometry 1
  • 5. Mystery Isometry 2
  • 6. Mystery Isometry 3
  • 7. Mystery Isometry 4
  • 8. Messing With Lisa
  • 9. Isometry Check 2
  • 10. Isometry Check 3
  • 11. Translation Construction
  • 12. Isometry Check 1

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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1.9.

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1.10.

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1.11.

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1.12.

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2.

Translations

  • 1. Translation_grid1
  • 2. Translation_grid2
  • 3. Translation_grid3
  • 4. Translation_rule1
  • 5. Translation_rule2
  • 6. Translation_vector1
  • 7. Translation Construction

2.1.

Translation_grid1

Translate quad ABCD by vector EF.
– 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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3.

Reflections

  • 1. Reflection
  • 2. Exploring Reflections
  • 3. Glide Reflection Cats
  • 4. Reflection Grid 1
  • 5. Reflection Grid 2
  • 6. Reflection Grid 3
  • 7. Reflection Grid 4
  • 8. Reflection Grid 5
  • 9. Reflection over Y=X
  • 10. Reflection Combination 1
  • 11. Glide Reflection 1
  • 12. Reflection Line 1
  • 13. Reflection Line 2
  • 14. Reflection Line Construction
  • 15. Reflection Construction
  • 16. Glide Reflection 2

3.1.

– Jason Wofsey

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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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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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3.15.

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3.16.

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4.

Rotations

  • 1. Copy of Rotation
  • 2. Rotation Hexagon
  • 3. Rotation Isometry Proof
  • 4. Rotation Grid 1
  • 5. Rotation Grid 2
  • 6. Rotation Grid 3
  • 7. Rotation Origin 1
  • 8. Rotation Origin 2
  • 9. Rotation Triangle Grid 1
  • 10. Rotation Triangle Grid 2
  • 11. Rotation Construction 1
  • 12. Rotation Construction 2
  • 13. Rotation Construction 3
  • 14. Rotation Construction 4
  • 15. Rotation Center and Angle

4.1.

Copy of Rotation

– Jason Wofsey

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4.4.

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4.5.

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4.6.

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4.7.

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4.8.

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4.9.

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4.10.

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4.11.

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4.12.

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4.13.

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4.14.

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4.15.

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5.

Composition of Isometries

  • 1. Isometry Puzzle 1
  • 2. Reflections Over Parallel Lines
  • 3. Reflection Across Intersecting Lines

5.1.

Isometry Puzzle 1

Figure out what transformations can map figure 0 to each of the other figures.
– Jason Wofsey

5.2.

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5.3.

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6.

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

6.1.

Noncongruent Triangles Activity

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

6.2.

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6.3.

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6.4.

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6.5.

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6.6.

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6.7.

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6.8.

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6.9.

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6.10.

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